COMPARISON OF CONSTANT RETORT TEMPERATURE AND …

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COMPARISON OF CONSTANT RETORT TEMPERATURE AND VARIABLE RETORT TEMPERATURE THERMAL PROCESSES FOR QUALITY IMPROVEMENT OR COST REDUCTION OF CONDUCTION-HEATED CANNED FOODS By BOB YONGSHENG XIANG B. Sc. in Ag., Southwest Agricultural University, P. R. China, 1987 A THESIS SUBMITTED IN PARTIAL FULFILLMENT OF THE REQUIREMENT FOR THE DEGREE OF MASTER OF SCIENCE In THE FACULTY OF GRADUATE STUDIES (Food Science Program) We accept this thesis as conforming to the required standard THE UNIVERSITY OF BRITISH COLUMBIA NOVEMBER 2003 © Bob Yongsheng Xiang, 2003

Transcript of COMPARISON OF CONSTANT RETORT TEMPERATURE AND …

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C O M P A R I S O N OF CONSTANT RETORT T E M P E R A T U R E AND VARIABLE RETORT T E M P E R A T U R E THERMAL P R O C E S S E S FOR QUALITY

IMPROVEMENT OR C O S T REDUCTION OF CONDUCTION-HEATED C A N N E D FOODS

By

BOB Y O N G S H E N G XIANG

B. Sc. in Ag., Southwest Agricultural University, P. R. China, 1987

A THESIS SUBMITTED IN PARTIAL FULFILLMENT OF THE REQUIREMENT FOR THE D E G R E E OF

MASTER OF SCIENCE

In

THE FACULTY OF G R A D U A T E STUDIES

(Food Science Program)

We accept this thesis as conforming to the required standard

THE UNIVERSITY OF BRITISH COLUMBIA

N O V E M B E R 2003

© Bob Yongsheng Xiang, 2003

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In presenting this thesis in partial fulfillment of the requirement for an advanced

degree at the University of British Columbia, I agree that the Library shall make it

freely available for reference and study. I further agree that permission for

extensive copying of this thesis for scholarly purposes may be granted by the

head of my department or by his or his representatives. It is understood that

copying or publication of this thesis for financial gain shall not be allowed without

my written permission.

Food, Nutrition and Health Program

The University Of British Columbia

6650 NW Marine Drive

Vancouver, B C

V6T 1Z4

Date

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ABSTRACT Almost all commercial retort processes for canned foods use constant retort

temperature (CRT) process. However, variable retort temperature (VRT)

process, as one of the potential technologies to improve both the economy and

quality of some canned foods, has been receiving increasing attention. The

VRT process has been shown to be very promising in this regard, especially in

improving food quality and reducing process time. The surface color is an

important quality attribute of canned foods. Discoloration and browning of

canned foods are the results of various reactions, including Maillard reaction.

Heat treatment affects the surface color of canned foods. Surface color

changes measured by HunterLab are used to predict both chemical and quality

changes in canned foods.

In this study I examined the surface color change characteristics of macaroni

and cheese (MC). Surface color change of M C followed first order reactions

and D values of the surface color change and z value of the surface color

change were measured. This study evaluated the application of the "Retort"

program and the random centroid optimization (RCO) program for modeling and

optimization of VRT thermal processing for conduction-heated foods. This

study tested whether canned macaroni and cheese (MC) surface quality would

be improved or process times decreased by using the optimal V R T process as

compared with the optimal CRT process. From this study, I concluded that the

optimal VRT process was superior. It improved the surface quality (i.e.,

reduced the surface cook value by 8.9-11.2 %) or reduced the process time by

23.6-34.2 % compared with the optimal C R T process.

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T A B L E O F C O N T E N T S

Page

Abstract ii

Table of Contents iii

List of Tables vi

List of Figures ix

Acknowledgements xi

C H A P T E R I 1

C H A P T E R II L ITERATURE REVIEW 4

2. 1. Color Measurement 4

2 .2 . Color Change With Heat Treatment 5

A. Maillard Reaction 5

B. Color Change in Canned Foods 8

C. Thermal Kinetics of Color Change of Foods 9

2. 3. Thermal Processing of Canned Foods 10

A. Goals of Thermal Processing for Canned Foods 10

B. Processing Media of Canned Foods 11

C. Optimization Sterilization of Canned Foods 12

D. Temperature Measurement and Heat Penetration Tests 12

E. Process Determination 13

F. The Improved General Method and Sterilization Value (F0) 14

2. 4. C R T Process and VRT Process 17

A. Definition of the C R T and VRT processes 17

B. Retort Program 19

C. R C O Program 20

D. Computer Simulation of the C R T and VRT Processes 27

E. Estimation of Rho (Fraction of Sterilization Value) 27

2. 5 Quality of the Thermally Processed Canned Foods 28

A. Basic Consideration for Canned Foods 28

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B. Effect of Canned Size 29

C. Effect of Processing Temperature 30

D. Surface Quality for Canned Foods 31

E. Goals of This Research Project 31

C H A P T E R III EXPERIMENTAL METHODS 33

3. 1. Sample Preparation 33

3. 2. Surface Color Change of MC with Heat Treatment 34

3 .3. Surface Color Measurement of MC 35

3. 4. Heat Penetration Test 35

3. 5. Determination of Sterilization Value (F0) 36

3. 6. Retort Program 36

3. 7. R C O Program 38

3. 8. Confirmation of the Results for the C R T and VRT Processes

in an Actual Steam Retort 40

C H A P T E R IV R E S U L T S AND DISSCUSSION 42

4. 1. Surface Color Changes of MC 42

4 .2 . D Values and z Value of MC 50

4. 3. Heat Penetration Parameters 55

4. 4. Comparison of Can Center Temperatures by Retort Program

and Retort Experiment 57

4. 5. Rho, Retort Temperature and Unaccomplished Temperature 59

4. 6. Surface Cook Values of the C R T and VRT Processes 62

4. 7. Process Times of the C R T and VRT Processes 81

4. 8. Compare the Results of the C R T and VRT Processes for MC 97

4. 9. Confirmation of the Optimum C R T and VRT Processes in an

Actual Steam Retort 103

A. Confirmation of Sterilization Value (F0) 103

B. Confirmation of Surface Cook Values and Surface Color

Parameters 105

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C. Confirmation of the Surface Cook Values of MC 107

C H A P T E R V CONCLUSIONS 109

APPENDIX A. Terminology and Abbreviations 111

APPENDIX B. Processing Conditions for Computer Simulation Model 114

R E F E R E N C E S 116

BIBLIOGRAPHY 124

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LIST OF TABLES Page

Table 1. Processing conditions of retort experiment for MC

307 x 409 cans 41

Table 2. D values at different heat temperatures (°C) 51

Table 3. The average heating rate index and the average cooling rate

index for MC obtained during process determination work

work in three process runs (12 cans) 56

Table 4. The C R T processes at different surface z values in term

of surface cook value (Fs) with the same F0=6 min 63

Table 5. Optimization experiments to minimize Fs with Pt < 124.8

min and 5.9 < F 0 < 6.1 min (z= 28 C°), the best result

was the bold value (F s = 56.2 min) 66

Table 6. Optimization experiments to minimize F s with P t < 148.1

min and 5.9 < F 0 < 6.1 min (z= 24 C°), the best result

was the bold value (F s = 50.4 min) 68

Table 7. Optimization experiments to minimize F s with P t < 148.1

min and 5.9 < F 0 < 6.1 min (z= 26 C°), the best result

was the bold value (F s = 53.6 min) 70

Table 8. Optimization experiments to minimize F s with P t < 124.8

min and 5.9 < F 0 < 6.1 min (z= 30 C°), the best result

was the bold value (F s = 59.6 min) 72

Table 9. Optimization experiments to minimize F s with P t < 124.8

min and 5.9 < F 0 < 6.1 min (z= 32 C°), the best result

was the bold value (F s = 61.2 min) 74

Table 10. Comparison of the optimum VRT processes with minimum F s

and P t in term of different z values 77

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Table 11. Comparison of F s of MC for the optimum C R T and VRT

processes in terms of different z values (F S ) min) 80

Table 12. Optimization experiments for VRT processes to minimize

P t with F s < 63.2 min and 5.9 < F 0 < 6.1 min (z=28 C°),

the best result was the bold value (P t = 95.3 min) 82

Table 13. Optimization experiments for VRT processes to minimize

P t with F s < 56.1 min and 5.9 < F 0 < 6.1 min (z=24 C°),

the best result was the bold value (P t = 106.9 min) 84

Table 14. Optimization experiments for VRT processes to minimize

P t with F s < 59.8 min and 5.9 < F 0 < 6.1 min (z=26 C°),

the best result was the bold value (P t =97.5 min) 86

Table 15. Optimization experiments for VRT processes to minimize

P t with F s < 66.1 min and 5.9 < F 0 < 6.1 min (z=30 C°),

the best result was the bold value (P t = 88.2 min) 88

Table 16. Optimization experiments for VRT processes to minimize

P t with F s < 68.9 min and 5.9 < F 0 < 6.1 min (z=32 C°),

the the best result was the bold value (P t = 87.5 min) 90

Table 17. Comparison of the optimum VRT processes with minimum P t

and F s in term of different z values 93

Table 18. Comparison of P t for the optimum C R T and VRT processes

in terms of different surface z values 96

Table 19. The optimum C R T and VRT processes of M C (z=28 C°)

In term of the minimum surface cook value and the

minimum process time 102

Table 20. Sterilization values (F0) for MC with three process

runs for each treatment and calculations done using

improved general method 104

Table 21. The surface color parameters of MC in terms of the

different C R T and VRT processes (confirming experimental

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results) 106

Table 22. Comparison of surface cook values (Fs) of MC in terms

of computer simulation and retort experiments (three

process runs for 8-10 cans, based on the sterilization

value F 0 of 6.0 min) 108

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LIST OF FIGURES Page

Figure 1. Reference TDT curve, where F=1 and z=18 Fo

(Durance, 1995) 15

Figure 2. Comparison of retort temperature histories of

Conduction-heated canned foods with the C R T and

VRT processes (Durance, 1997) 18

Figure 3. The simplified flow diagram of R C O procedure 24

Figure 4. A comprehensive operation chart of R C O

program (Nakai et al., 1999) 26

Figure 5. Simplified flow diagram of the Retort program procedure 37

Figure 6. Effect of heating time and heating temperature on the

surface color L values 43

Figure 7. Effect of heating time and heating temperature on the

surface color a values 44

Figure 8. Effect of heating time and heating temperature on the

surface color b values 45

Figure 9. Surface color parameters (L, a and b) changes with the

heating time (hr) at heating temperature 100 °C 48

Figure 10. Surface color difference versus heating time (hr) at

heating temperature 100 °C 49

Figure 11. Effect of heating time on the log L value of MC at

different heating temperatures (80, 100, 110,

120 and 125 °C) 53

Figure 12. Effect of heat temperature on the Log D values of MC 54

Figure 13. Comparison of the can center temperature histories of

MC (retort experiment and Rretort Program) 58

Figure 14. The relationship of Rho and final unaccomplished

temperature (g) 60

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Figure 15. The relationship of Rho and retort temperature 61

Figure 16. The C R T processes at different z values in terms of surface

cook values (Fs) 64

Figure 17. The optimum VRT processes to yield the minimum

F s of MC in terms of different z values 78

Figure 18. The optimum VRT processes to yield the minimum

P t of MC in terms of different z values 94

Figure 19. The optimum C R T and VRT processes for the minimum surface

cook values. RT and T c indicated retort temperature and

can center temperature for the respective C R T and VRT

computer simulations 98

Figure 20. The optimum CRT and VRT processes for the minimum process

time. RT and T c indicated retort temperature and

can center temperature for the respective C R T and VRT

computer simulations 100

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ACKNOWLEDGEMENTS The author wishes to express his gratitude to Dr. Tim Durance, research

supervisor for his encouragement, support and guidance throughout the course

of this research project. He wishes to thank the members of the research

committee: Dr. Christine Seaman, Dr. Victor Lo and Dr. Gary Sandberg for their

advice during the research phase of this project and in the review of this

manuscript.

Special thanks are extended to Mr. Jinglie Dou for his help with the Random

Centroid Optimization (RCO) program of this project and the use of the R C O

program that he, together with Dr. S. Nakai, had written; to Mr. Sherman Yee

and Ms. Val Skura for their assistance with the surface color measurement and

laboratory equipment; to Ms. Brenda Barker for her all assistance for my thesis

writing, printing and committee meeting and more; to Ms. Parastoo Yaghmaee

for her advice on the operation of retort. The help provided by several other

students and staff within the Food, Nutrition and Health Program of the Faculty

of Agricultural Sciences at UBC during the course of the research is greatly

appreciated.

In addition, I would like to thank my dear wife, Manna Ma. She gave me much

more support, encouragement and love when I study at UBC. I also would like

to thank my adorable, little daughter, Esther Xiang and she gave me more love,

happiness and enjoyment. I cannot finish my study without her help, support

and love. Finally, many thanks for my parents, my brothers and sisters, my

father-in-law, mother-in-law for believing in me. God Bless them all.

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CHAPTER I

INTRODUCTION

Food industry is pressed with the need to provide foods that are safe, nutritious and

convenient at competitive prices. In the last decade, various studies have been

carried out for quality optimization of thermally processed foods. Computer

simulation has made this possible since the kinetics of microorganisms and quality

factors, and physics of conduction heat transfer are very well understood and can be

described with mathematical models (Sablani et al., 1995). Optimization of the

sterilization process is based on the fact that thermal inactivation of microorganisms

is much more temperature dependent than quality factors (Lund, 1977). Teixeira et

al. (1969) were probably the first to use computer simulations for quality optimization.

Now several researchers have used such models for predicting optimal conditions for

thermal processing of foods (Ohlsson, 1980; Silva et al., 1992; Hendrickx et al., 1990,

1993; Durance et al., 1997).

The first goal in designing a sterilization process is to achieve a reduction in the

number of undesirable microorganisms, leading to a safe product with increased

shelf life. Because of the applied heat treatment a concomitant decrease in the

quality attributes (essential nutrients, color, flavor, texture and so on) is observed

(Lund 1982). Conduction-heated foods have a slow rate of heat transfer. Very high

temperatures will cause severe thermal degradation of the food near the surface long

before the food at the center of the container has risen in temperature. On the other

hand, a relatively low retort temperature will cause great quality losses because of

the long time it will take to obtain commercial sterility. Consequently, there is an

optimum time-temperature relationship that will minimize the quality losses while still

providing a microbiologically safe food (Ohlsson, 1980).

The optimum constant retort temperature (CRT) processes have been calculated for

the case of optimization of surface quality of canned foods (Hendrickx et al., 1990;

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Banga et al., 1991). The use of recent optimization techniques to solve the problem

of finding the optimal retort profile for the optimization of surface retention (Banga et

al., 1991) leads to the conclusion that the use of variable retort temperature (VRT)

processes represents a valuable policy. An appreciable increase in the surface

quality retention (20%), over the optimal CRT processes could be achieved. A

considerable reduction in the process time could also be achieved using the VRT

processes. These conclusions were based on a limited number of case studies

(Noronha et al., 1993; 1996b, Durance et al., 1997).

Most of the available work on optimization of thermal processes considers the

calculation of the optimum CRT processes. Several authors have investigated the

use of the VRT processes. When maximization of mass average quality was

considered, there was no significant improvement in the use of optimum VRT

processes compared with the optimum CRT processes (Banga et al., 1991).

However when the optimization of surface quality retention is considered, substantial

increases in quality retention and decreases in the process time could be achieved

using the optimum VRT processes, as compared with the optimum C R T processes

(Banga et al., 1991; Noronha et al., 1996a). Banga et al. (1991) indicated that

surface quality was improved by up to 20% under the optimum VRT process and that

the process time could be reduced by up to 16.5% compared with the optimum CRT

process. Noronha et al. (1996b) demonstrated that the optimal VRT processes

allowed a significant reduction in the surface cook value (22%) or the process time

(26%) without reduction of the quality compared to the optimum C R T processes.

Almonnacd et al. (1993) also obtained the conclusions that a change from the C R T

processes to the VRT processes increased canning capacity by 20 to 50%.

Conventional thermal processes, that is constant retort temperature (CRT)

processes, have been widely studied for a variety of optimization purposes. Almost

all commercial retort processes for canned foods use constant retort temperature

(CRT) processes. However, variable retort temperature (VRT) process, as one of

the potential technologies to improve both the economy and quality of some canned

foods, has been receiving increasing attention (Durance, 1997). Some researchers

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have focused on optimization of some objective functions, such as surface quality,

process time and energy conservation. The VRT process has been shown to be

very promising in this regard, especially in improving food quality and reducing

process time (Chen and Ramaswamy, 2002b).

The surface color is an important quality attribute of foods. This is due to the

reactionship among color, flavor and aroma of food products. Discoloration and

browning of canned foods are the results of various reactions, including Maillard

reaction (Cornwell and Wrolstad, 1981). Heating temperature and heating time both

affect the surface color of canned foods. Surface color changes measured by

tristimulus reflectance colorimetry may be used to predict both chemical and quality

changes in a food (Little, 1976).

Durance et al. (1997) reported a study using a finite difference model program (Retort

Program) and random-centroid optimization (RCO) program (Dou et al. 1993) to

optimize the optimum VRT processes to treat canned salmon by specific small can

size (307 x 115 cans) and got good results. Durance et al. (1997) concluded that

the best VRT process decreased process time (16%) and the thiamine losses from

19.6 % to 16.8 % which maintained equal F 0 and surface quality compared with the

best C R T process. Chen and Ramaswamy (2002) used the small cans (111 x 306

cans) to evaluate the optimum CRT and VRT processes to affect on the surface

quality or process time by using coupled neural networks and genetic algorithms.

But no one has used the Retort program and R C O program to select the VRT

processes to the canned foods in bigger cans. Also no one reported research about

surface color change of canned foods and used the surface color change index to

decide the best sterilization process.

The aim of this project was to study the surface color change of conduction-heated

canned foods and use this knowledge to choose the optimum thermal sterilization

processes. This study evaluated the application of the Retort program and R C O for

modeling and optimization of the CRT and VRT thermal processes for conduction-

heated foods.

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CHAPTER II

LITERATURE REVIEW

2 . 1 . Color Measurement

Color measurement is a critical objective quality parameter that can be used for the

following applications: as a quality index measurement of processed foods for use in

quality control documentation and communication; for determination of conformity of

food quality to specifications; and for analysis of quality changes as a result of food

processing, storage and other factors (Giese, 2000).

The color measurements can be used in an indirect way to estimate quality changes

of foods, since they are simpler and faster than chemical analysis. HunterLab color

parameters (L, a and b) have previously proven to be valuable in describing visual

color deterioration and providing useful information for quality control of canned

foods, such as pear puree (Ibarz et al., 1999). Of course, the measurement of

brown color is one of the most common analytical methods used to study the effects

of food composition, storage environment and packaging system on the non-

enzymatic reaction of foods (Palombo et al., 1984).

For objective color measurement of foods, color scales are used to measure color

and color differences. Color is often defined using three-dimensional color scales

that describe the different components of color. Light reflected from a colored object

is composed of a light or dark component in addition to a red or green and a blue or

yellow component. HunterLab measures the degree of lightness or blackness (L),

the degree of redness or greenness (a), and the degree of yellowness or blueness

(b). Sometimes only one specific dimension of color is needed to determine the

quality of a product. For example, Lightness (L) was used to monitor the formation

of the Maillard reaction products (MRPs)(Bates et al., 1998). As pH and temperature

increased, the L value decreased and the samples became darker. In the tomato

industry, the color red is the color by which the quality of the product is evaluated. A

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set of indices has been derived to measure or score tomato ketchup, sauce, juice,

paste, and puree for the degree of redness (Mabon, 1993).

Color is one of the three major quality attributes of food along with flavor and texture.

However, if the color is unattractive, a consumer may never get to judge the other

two quality attributes (Francis, 1991). Color is among the most important quality

attributes of canned foods or dehydrated foods for consumers (Driscoll and

Madamba, 1994). Color change in canned foods during manufacturing and storage

is of vital interest to the food industry, because the first quality judgment made by a

consumer on a food at the point of sale is its visual appearance. Appearance

analyses of foods, color, taste, odor and texture are used in the maintenance of food

quality throughout and at the end of processing (Avila and Silva, 1999; Lopez at al.,

1997; Maskan et al., 2002). The color of food products can be specified by three co­

ordinates in the color space that can be obtained directly with a tristimulus

colorimeter. A variety of color scales are used to describe color. Those most often

used in the food industry include the HunterLab system, the CIELab system and the

Munsell control solid (Giese, 2000). The HunterLab system is the most frequently

used scale to measure the color of food products (Hutchings, 1994). The HunterLab

systems decide the L, a, b color coordinates. The L coordinate measures the value

or lightness of a color and ranges from black at 0 to white at 100. The a coordinate

measures red when positive and green when negative. The b coordinate measures

yellow when positive and blue when negative (Chen et al., 1999).

2. 2. Color Change with Heat Treatment

A. Maillard Reaction

The Maillard reaction is a type of non-enzymatic browning reaction that involves the

reaction of carbonyl compounds, especially reducing sugars, with compounds that

possess a free amino group, such as amino acids and proteins. The reaction

products are significant in foods because they are responsible for flavor and color

changes, which may be desirable or undesirable depending on the type of foods

(Ames, 1990).

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Non-enzymatic browning reactions between amino acids and reducing sugars are the

basics of the Maillard reaction, which take place in thermally processed foods. The

Maillard reaction results in the formation of complex mixtures of colored and colorless

reaction products, which range from flavor volatiles to melanoidins, a series of brown

pigments with high molecular weights. Brown pigment formation is desired during

some types of food processing (baking, cocoa and coffee roasting, cooking of meat),

while it is absolutely undesirable in other technologies (milk drying, thermal

treatments for the stabilization of milk, fruit juices and tomatoes). The Maillard

reaction often has negative consequences not only on the sensory characteristics of

foods (color changes and volatile compound formations), but also on the nutritional

value (amino acid and protein unavailability for human metabolism) (Lerici et al.,

1990).

When food is cooked, the Maillard reaction plays an important role in improving the

appearance and taste of foods. Maillard reaction is related to aroma, taste and

color, particularly in traditional processes such as roasting of coffee and coco beans,

the baking of bread and cakes, the toasting of cereals, the cooking of meat, the

sterilization of canned foods (Martins et al., 2001). The Maillard reaction also plays

an important role in the production of undesirable flavor compounds, and in the

development of browning color during thermal processing (Palombo et al., 1984).

Various factors are responsible for changing the color during processing of food

products. These include Maillard and enzymatic browning and process conditions,

such as pH, acidity, packaging materials and duration and temperature of storage

(Ahmed and Shivhare, 2001).

The Maillard reaction is largely responsible for the roasted, toasted, or caramel-like

aromas, as well as the development of browning color in protein and carbohydrate

rich foods following a thermal treatment (Nursten, 1986). Because of the inherent

complexity of many food systems, such as coffee, much of the work on the Maillard

reaction has been accomplished in simple Maillard reaction model systems of

individual amino acids and reducing sugars or lipids (Friedman, 1996; Namiki, 1988).

The Maillard reaction occurs nonenzymatically in foods between reducing sugars and

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available amino groups during thermal processing and home cooking operations.

The Maillard reaction is influenced by many factors such as temperature, time, pH,

water activity (aw), and reactants (Wijewickreme et al., 1997).

Maillard reactions include those involving reducing sugars, aldehydes, and ketones

with amines amino acids, peptides, and proteins. In food, the normal reactants are

reducing sugars and amino acids. Reactions can be divided into three phases. The

early phase consists of defined chemical reactions without browning. The second

phase consists of many reactions involving the formation of volatile or soluble

substances. The final phase consists of reactions leading to the production of

insoluble browning polymers. Most chemical changes that occur during

caramelization also occur in Maillard browning. Many reactions that take place in

pure sugars only at very high temperatures occur at lower temperatures once they

have reacted with amino acids (Mauron, 1981). Maillard browning can be found in

three different areas of food manufacture. It has a traditional use in the development

of aromas and flavors in roasting, baking and cooking; it is used deliberately to

engineer flavors in non-traditional foods; and it occurs as an undesirable byproduct of

food processing, affecting color or flavor, or both (Buckholz et al., 1980).

The Maillard reaction is of considerable importance to food companies. In particular,

pasta industries need more knowledge to control browning during processing; in fact,

pasta color is generally considered as one of the major components of quality

(Fogliano et al., 1999). The Maillard reaction produces a multitude of small

molecular weight intermediates, collectively referred to as Maillard reaction products

(MRPs), and high molecular weight polymeric compounds known as melanoidins.

Melanoidins were isolated from different model systems consisting of a single amino

acid and carbohydrate (Fogliano et al., 1999).

The typical brown color formed by Maillard reaction is due to chromophores, which

have been widely studied in different model systems. In a gluten-glucose model

system, colored low molecular weight molecules became entrapped in the high

molecular weight polymers formed by gluten proteins (Fogliano et al. 1999). In a

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casein-sugar model system, it is established that color formation is mainly due to the

formation of protein oligomers mediated by chromophoric substructures derived from

carbohydrates. In different model systems, the Maillard reactions are different and

they produce different Maillard reaction products (MRP). Thus the food product will

have different color changes with different heat treatments (Hofmann, 1998).

A number of kinetic studies have been carried out on the Maillard reaction. Two

approaches with respect to Maillard reaction kinetic studies have been proposed in

the literature. The first approach focuses on the rate of browning, and the other

relates to the rate of loss of sugar and amino acids (Xing, 2002). Baisier and Labuza

(1992) reported that although the overall kinetics of Maillard reaction are more

complex than the individual loss of sugar or amino acids, the initial stage of the

reaction follows pseudo-first order kinetics. After the initial first order period, the

loss of reactants tapers off into a phase with little reactant disappearance (no loss

period), which can be explained by means of steady state kinetics (Baisier and

Labuza, 1990)

B. Color Change in Canned Foods The time-temperature combinations used in canning have a substantial effect on

most naturally occurring pigments in canned foods. For example, in meats the red

oxymyoglobin pigment is converted to brown metmyoglobin and purplish myoglobin is

converted to red-brown myohaemichromogen. Maillard browning and caramelisation

also contribute to the color of sterilized meats. However, this is an acceptable

change in cooked meats. In fruits and vegetables, chlorophyll is converted to

pheophytin, carotenoids are isomerized from 5, 6-epoxides to less intensely colored

5, 8-epoxides, and anthocyanins are degraded to brown pigments. In sterilized milk

slight color changes are due to caramelization, Maillard browning and changes in the

reflectivity of casein micelles (Fellows, 1998). In pasta industry, pasta color is

generally considered as one of the major components of quality. Consumers like an

amber-yellow color while an intense brown tone causes a decrease of the

commercial pasta value (Fogliano et al., 1999).

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9

The heat treatment of foods rich in reducing sugars and free amino acids results in

the production of MRPs . Therefore, heat treatments such as frying, baking, broiling,

stewing and thermal processing have an integral role in the quality of browning which

in turn will influence the sensory, color and nutritional compositions of the foods

(Xing, 2002). In a macaroni and cheese system, it contains sugars, proteins and

amino acids. Through heat treatment, MC could take place the Maillard reaction.

The sugars and amino acids of the MC will change their compositions and new

compounds are produced. MC will have different color changes with the Maillard

reaction.

C. Thermal Kinetics of Color Change of Foods Food color changes can be associated with its heat treatment history. Various

reactions such as pigment destruction (carotenoids and chlorophylls) and non-

enzymatic browning (Maillard) reactions affect the color of foods during blanching of

fruits and vegetables and during the heat processing to canned foods (Cornwell and

Wrolstad, 1981). The retention of total color can be used as a quality indicator to

evaluate the extent of color deterioration during thermal processing (Shin and

Bhowmik, 1995). Several researchers have published work on modeling of thermal

degradation kinetics of color in the temperature range of sterilization conditions. The

majority of the published work reported first order or zero order degradation reaction

kinetics (Avila and Silva, 1999).

The kinetics of color change in food products is a complex phenomenon, and

dependent on models to predict experimental color change. Experimental studies

and application of various simplified models to represent the behavior are required.

Several authors studied the color kinetics of food materials during thermal processing

in terms of changes in Hunter tristimulus color values L, a and b (Berry, 1998;

Weemaes et al., 1999). To optimize the thermal process of a food, it is important to

determine the kinetic parameters (reaction order, reaction rate constant, and

activation energy) for color change (Weemaes et al., 1999). Hence, if the kinetics of

color change are determined and the order of color change is established, the total

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10

color can be used to evaluate quality of food product during thermal processing

(Ahmed and Shivhare, 2001).

Calculating and predicting a quality indicator in food systems involves development of

a mathematical model during processing (Samaniego-Esguerra et al., 1991). A

quality indicator such as color is usually modeled using a general reaction rate

equation:

dC/dt = k C n (1)

Where C is the measured HunterLab color value (L, a, b) of the product, C 0 is the

measured HunterLab color value at zero time, t is the heating time (min) and k is the

reaction rate constant (per min). The order of a chemical reaction is generally zero

or first order (Ozdemir and Devres, 2000). The Maillard reaction in foods is

generally first-order or zero-order reactions (Driscoll and Madamba, 1994; Chen and

Ramaswamy, 2002a). The results of Ahmed et al., (2000) and Shin and Bhowmik

(1995) indicated that color degradation during thermal processing of chilli puree

followed first order reaction kinetics.

2. 3. Thermal Processing of Canned Foods

A. Goals of Thermal Processing for Canned Foods

Heat sterilization of foods is a preservative technique that aims to obtain a safe

product with a long shelf life and is based on the application of suitable time-

temperature conditions to thermally inactivate microorganisms, spores and enzymes

(Maesmans et al., 1990). The recommended sterilization processes are not

designed to kill all microorganisms in canned foods. In canned food sterilization, the

main concern of the canning industry is to prevent the growth of Clostridium

botulinum, the food poisoning bacterium capable of producing a highly lethal toxin

(Lopez, 1981).

Where

Forn>1 , C / C 0 = (1 + (n-1) kt) 1 / ( 1 " n )

For n = 1 (first-order), C = C 0 exp (-kt)

For n = 0 (zero-order), C = C 0 - kt

• •(2)

(3)

..(4)

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11

Clostridium botulinum is the most heat-resistant, anaerobic, spore-forming pathogen

that can grow in low-acid canned foods, and consequently its destruction is the

criterion for successful heat processing of this canned food (Lund, 1991). A

sterilization process that assures the destruction of Clostridium botulinum usually

also kills all other microorganisms capable of producing canned food spoilage under

normal conditions of canned food handling and storage (Lopez, 1981).

The thermal processing of canned foods is one of the most widely used methods of

preservation in the twentieth century (Teixeira and Tucker, 1997). The concept of

thermal processing is based on heating of canned foods for a certain length of time to

obtain a safe product complying with public health standards. The thermal

processing is based on established time-temperature profiles. Associated with

thermal processing is always some degradation of heat-sensitive quality factors that

is undesirable. Since much demand is on safe and shelf-stable food products along

with a high quality attributes, processing schedules are designed to keep the process

time to the required minimum (Afaghi and Ramaswamy, 2001). The differences in

the temperature-sensitivity between the rate constants of destruction of

microorganisms and those of quality factors, such as color, flavor, texture and

nutrients, allow the choice of an appropriate heating process that minimizes the

degradation of quality factors while still achieving the necessary destruction of

undesirable microorganisms (Noronha et al., 1996b).

B. Processing Media of Canned Foods The processor wishes to provide the consumer with a safe product, and within

economic constraints, one exhibiting the maximum possible retention of quality

attributes (Durance, 1995). Different heating mediums are used to optimize the

retorting of different forms of food and types of packaging. In the food industry, there

are three kinds of heating media, which have been used for processing of filled

containers in retorts: steam, water immersion/overpressure systems and steam/air

mixtures. In general, steam is used for cans and is the most popular heating

medium and is used in many retort designs. Steam is easily manufactured,

regulated and held for immediate use, the steam pressure within the retort helps to

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12

counterbalance the pressure in the can. Steam produces large amounts of latent

heat available to heat the food (Durance, 1995).

C. Optimum Sterilization of Canned Foods In commercial heat sterilization of canned foods, the cans have been heated in a

retort at certain conditions of temperature and time. Much attention has been given

to maximizing quality retention for a specified reduction in undesirable

microorganisms during sterilization (Terajima and Nonaka, 1996).

Quality optimization is possible because the degradation kinetics of quality is much

less temperature-sensitive than the kinetics of microorganism destruction (Lund,

1977). More researchers have optimized sterilization of canned foods in terms of

quality retention (Lund, 1982, Holdsworth, 1985, Silva et al., 1993). Teixeira et al.

(1969) calculated the optimum retort temperature for cylindrical cans using thiamine

retention as optimization criteria.

It is necessary to obtain an optimal compromise with regards to quality and

consistency (Hildenbrand, 1980). Now more techniques such as computer

simulation, expert systems, on-line monitoring and semi-automatic control systems

are used in the food industry to optimize sterilization process and allow canned foods

have a long shelf life with a minimum quality loss (Ramesh, 1995).

D. Temperature Measurement and Heat Penetration Tests

Data obtained from heat penetration tests conducted on containers of foods during

processing can be used to calculate the process time required for that product.

Temperature measurements are made at the slowest heating spot (cold spot) in the

filled container. Procedures for conducting such heat penetration tests have been

described by Bee and Park (1978).

Obtaining accurate data regarding the heating and cooling of the food in a container

is extremely important if an accurate time and temperature for product sterilization is

to be determined. The results of a heat penetration test are experimentally derived

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13

heating and cooling curves. The type of curve obtained is dependent on the kind of

product involved. Parameters obtained from the data plot are dependent on the

manner in which data are plotted. Generally, factors influencing rate of heat

penetration are retort temperature, size and shape of a container, fill-in weight,

thermal properties of the food, initial product temperature and heating medium

(Downing, 1996).

In cans, Ecklund Type-T rigid thermocouples (O. F. Ecklund Inc., Cape Coral, FL,

USA) have been the primary means used to obtain temperature measurements for

heat penetration work (Bee and Park, 1978). Thermocouples are preferable to

thermometers in measuring temperature changes because of the physical properties

of canned foods. To insert the thermocouple into a can, a hole is cut in the sidewall

of the can. Thermocouples are placed in the cold spot of a can. A gasket

receptacle is placed through the hole, and screwed in place. The thermocouple with

the receptacle adaptor is inserted, and then the can filled and closed. For

conduction-heated foods, the cold spot is the geometric center of the can. The

thermocouples are also placed outside the cans to monitor the retort temperature

(T r). The temperature of each thermocouple is measured at set intervals of time

(every 60 seconds). These temperatures are collected with a data logger, and then

presented in a standard manner (Durance, 1995). (Terminology and abbreviations

in thermal processing are presented in Appendix A.)

E. Process Determination

The process time required to sterilize a canned food is influenced by the heat

resistance of microorganisms or enzymes in the foods, the heating conditions, the pH

of the food, the size of the container and the physical state of the food. It is also

necessary to have information about both the heat resistance of microorganisms,

particularly heat resistance spores, or enzymes that are likely to be present and the

rate of heat penetration into the food (Fellows, 1998).

The main objective of thermal process calculations is to determine the process time

for achieving a pre-selected process lethality or making heat treatment sufficient to

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14

destroy expected spoilage organisms or evaluating the lethality of a given process

(Afaghi and Ramaswamy, 2001). The sterilization value of a process is generally

expressed as the F 0 value which is equivalent to the number of minutes required to

destroy a specified number of Clostridium botulinum spores at 121.1 °C (250 °F)

when z value equals 10 C 0 (18 F°) (Downing, 1996).

F. The Improved General Method and Sterilization Value (F0) The Improved General Method is the most accurate method for a given experimental

condition, as it makes use of real time-temperature data for process calculations

(Afaghi et al., 2001). However, this method provides little flexibility in allowing

mathematical determination of process changes when variations in conditions occur.

A general rule of thumb is that a process should have a total lethality three times F to

insure a safe process for a low acid canned food (Durance, 1995).

Lethality can be derived from the graph in Figure 1 in the following manner:

AY/AX= Iogt-Iog1/T-250 (5)

Log t - l og 1/(T-250) =-1/z (6)

Log (1/t) = T-250/18 (7) 1 / t = 1 0 ( T - 2 5 0 ) / 1 8 ( 8 )

L = "lethal rate" = 1/t (9) L _ 1 Q (T-250)/18 _ 1 Q (T-121.1)/10 ^

Accumulated Lethality (F0)= £ Lx At (11)

Where At = time interval over which L is considered constant.

The lethality of the Improved General Method is a special case, based on the unit

(the decimal death time (TDT)) curve where z = 10 C° (18 F°) and the reference

temperature =121.1 °C (250 °F). It is given the symbol F 0 (with units of time). The

reference TDT curve can be used to construct a "lethality" curve from any heat

penetration curve. Thus, we are no longer dependent on the knowledge of the TDT

of any organism. We can determine the F value of any process and compare it to

the F value of any other process and thus tell which of the two is more effective. If

F 0 is 6.0 min, then the entire thermal process is equivalent in terms of lethality to 6.0

minutes at 121.1 °C for any microorganisms with a z =10 C° (Durance, 1995).

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15

1C0

10

(T.t)

J2 V . « -u u> OS O

Q

(250°, 1)

0.1 2 2 0 Temperature (*F)

- 18 F 3

250

l i l i l l i f l i

Figure 1. Reference TDT curve, where F=1 and z = 18 F°

(Durance, 1995)

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16

After time and temperature data for a given product in a given can have been

obtained by heat penetration studies, these data may be analyzed by the general

method. The Improved General Method is used to measure the exact sterilization

value of a process when such conditions as come-up time, cooling water temperature

or the holding time after processing but before water-cooling are different from

normal retort procedures. Time and temperature data during the cooling cycle as

well as the heating cycle must be recorded in order to use the general method

(Downing, 1996).

The accumulative lethality method, in which the time-temperature data from heat

penetration test is analyzed for determining process lethality, is the most accurate

method possible (Stumbo, 1973). In developing a process schedule, a specific

target lethality value for the product must be known and heat penetration tests

performed with thermocouples installed in the center point of the cans. The test

product must be adjusted to an initial temperature normally encountered during

commercial production. The retort temperature used for the heat penetration test

must be no higher than the retort temperature intended for use during commercial

production. The process time can be increased by calculation over the test process

time if additional process lethality is required (Spinak and Wiley, 1982).

The target sterilization value F 0 depends on the expected number of spores and the

medium where the spores are processed. For example, products higher in acid or

salt will require a less severe heat process. The number of organisms is also

important. Mushrooms and pet food have high concentrations of spores, while baby

food spore counts are lower. The typical target F 0 for canned mushrooms and pet

food ranges from 10 to 18 minutes, while baby food may have a F 0 of 3 to 7 minutes

(Durance, 1995). However, the food composition of canned foods can dramatically

influence the survival of spores, target F 0 should preferably be determined

individually for each type of product. For a new product, the target F 0 is based on

previously established processes for similar products (Durance, 1995). The

sterilization value (F) at the coldest point in container assures a minimum sterility in

all points of the foods; therefore this is the most adequate criterion (Silva et al., 1993)

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17

2. 4. Constant Retort Temperature (CRT) Process and Variable Retort

Temperature (VRT) Process

A. Definition of the CRT and VRT processes C R T process is defined as the process which includes a come-up time (the time

needed for the initial retort temperature to rise to the prescribed retort temperature,

for example, 119 or 121 °C), a holding time at constant heating temperature, cooling

time with cooling water. The come-up time includes the vent time plus the time for

the retort to reach the prescribed retort temperature after the vent is closed. Process

time (P t) of a C R T process is defined as holding time not including vent time or

cooling time. A VRT process is defined as a process which includes a come-up

time, Until retort temperature reaches 104 °C; a variable temperature period in which

retort temperature changes with the heating time and cooling time. Like the CRT

process, the process time (P t) of a VRT process does not include come-up time or

cooling time (Durance et al., 1997).

Durance (1997) compared the difference of the CRT and VRT processes. Figure 2

shows the difference of the typical CRT and VRT processes. This Figure shows that

their retort temperatures are different. For the CRT process, the retort temperature

is constant from vent time (about 6 minutes) until the steam turns off. For the VRT

process, the retort temperature was variable from about 104 to 130 °C after vent time

(from initial retort temperature to 104 °C). Often, the process time of the VRT

process is shorter than that of CRT process with the same sterilization value.

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18

140.00

120.00

O 100.00

3 80.00 re o. E 60.00 0)

-2 40.00

20.00

o.oo

n Retort temp. (CRT)

Retort temp. (VRT)

i r ~i r

0 20 40 60 80 100 120 140 160 Heating time (min)

Figure 2. Comparison of retort temperature histories of

conduction-heated canned foods with the C R T

and VRT processes (Durance, 1997)

Page 31: COMPARISON OF CONSTANT RETORT TEMPERATURE AND …

19

B. Retort Program Finite difference models of heat transfer into packaged food have been successfully

applied in optimization and control (Teixeira et al, 1969; Teixeira and Tucker, 1997;

Durance et al., 1997). The main feature of this model is the prediction of the

temperature profile based on the governing heat transfer equations of packaged food

products. A finite difference model requires several input data related to the food

product and system such as thermal diffusivity of the food product, heat transfer

coefficient of the heating and cooling medium, and processing conditions. When

these conditions are known, time-temperature data at any specific location of the

product can be obtained by solving the appropriate governing equations. Because

of its ability to provide accurate time-temperature history, this model has largely

replaced the need to carry out experiments for routine data gathering when the

boundary conditions are well defined (Afaghi et al., 2001). However, actual heat

penetration experiments are still a regulatory requirement for determination of

commercial food sterilization process.

A finite difference model is based on a numerical solution of unsteady state heat

transfer, providing transient temperature distribution throughout the container. At the

beginning of the process time, all the interior points of the cylinder are set to the initial

temperature of the product, while the temperature at the surface is set at the retort

temperature. With a known set of initial conditions, these equations are solved at

each time interval. The new temperature distribution at the end of each time interval

is used to set the initial conditions for the following time interval. This procedure is

continued for a pre-determined process time, during which the temperature profile of

product is computed. The same procedure is applied for cooling of the product by

changing the ambient temperature to cooling water temperature and continuing the

calculation process (Afaghi et al., 2001).

The objective of any heat-transfer analysis is to predict heat flow or the temperature

that results from a specified heat flow. During commercial sterilization, the heat

transfer within the can was estimated with a two-dimensional finite difference model

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20

(Sandberg, 1991; Sandberg et al. 1994). Average thermal diffusivity (a) of the food

material was calculated as follows:

a = (0.398) / [ fh (1 / r2 + 0.427 / b 2 ) ] (12)

Where fh is the average heating rate index determined in a retort trial, r is the radius

of the can and b is the half-height of the can. The thermal diffusivity of the heating

side and that of cooling side may be different and the authors used a factor to adjust

the thermal diffusivity of the cooling side of thermal process. This model controlled

initial retort temperature, retort temperature, cooling water temperature, initial product

temperature and final product temperature. Surface heat transfer coefficients for

heating and cooling were 10,000 and 800 W/m 2 °K, respectively. Steam-off

condition was based on the sterilization value (F 0) at the time of steam-off. Output

included temperature histories at the surface of the can and the center-point of the

can, as well as sterilization value (F 0) at the end of cooling and the accumulated

surface cook value (F s) at the end of cooling and the process time (Durance et al.,

1997).

The product temperature was assumed to be uniform throughout the can at the

beginning of the cook. Heat penetration measurements were used for comparison

with the model only if the measured center point initial temperature was < 1 °C from

the nominal initial temperature. A perfect thermal contact at the surface of the

container was also assumed, in an attempt to simplify the model. Lastly, due to the

large temperature difference between the interior of the container and the saturated

steam environment of the retort, the convective boundary condition was ignored at

the container surface and was set at retort temperature at the beginning of the

process (Sandberg et al., 1994).

C. RCO Program Since Morgan and Deming (1974) applied simplex optimization for selection of

analytical conditions, this method has become one of the most popular optimization

techniques in chemistry. This optimization technique can accommodate nonlinear

equations to predict response values by including a subroutine; however, it is

incapable of handling constraints with exception of a boundary constraint (Nakai,

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21

1981). Vazquez-Arteaga (1990) modified the Complex (constrained simplex)

technique of Box (1965) for application to meat formulation. The method (Forplex)

searches for the best quality within an acceptable cost range, in contrast to least-cost

formulation. Equations to predict quality parameters were derived as functions of the

ingredient composition through small-scale experiments for frankfurter preparation.

Forplex was superior to least-cost formulation as it could obtain quality parameter

values, closer to the values for desirable product than those obtained by least-cost

formulation (Dou et al., 1993).

In addition to the incapability of handling constraints, simplex optimization suffers

from the following shortcoming: 1. quick loss of efficiency during optimization and 2.

difficulty in homing-in on the global optimization. Random centroid optimization was

established in UBC food science (Nakai, 1990) to circumvent these shortcomings. It

is possible to accommodate constraints through mapping by selecting new search

scales to avoid trespassing the level values, which will violate the constraints (Dou et

al., 1993).

Now there are different programs to optimize the optimization VRT processes for

getting the optimum result. Banga et al. (1991) proposed a new algorithm, ICRS/DS,

for the solution of fixed terminal a combination of a robust parameterization of the

control function and a computationally efficient non-linear programming algorithm.

The objective was to calculate optimum VRT in order to maximize surface and overall

retention or minimize process time (Silva et al., 1993). Noronha et al. (1996b) used

the F O R T R A N program using a quasi-Newton multivariable optimization subroutine

to calculate the VRT processes. The genetic algorithms (GAs) are a combinatorial

optimization technique, which searches for an optimal value of a complex objective

function by simulation of the biological evolutionary process based on crossover and

mutation. Chen and Ramaswamy (2002) optimize the VRT processes by GAs and

got good results.

A random centroid optimization program (RCO) is used to search simulantously for

optimal levels of many factors. R C O is an effective optimization programme while

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22

allowing testing of several treatments at a time (Girard and Nakai, 1991). The R C O

program consists of a random search, a centroid search and mapping, which

together constitute a search cycle (Dou et al., 1993). R C O is also modified by

introducing a penalty function to accommodate constraints in formula optimization.

A new program of random centroid optimization (RCO) was written that is useful for

graphical solutions of multimodel cases of optimization. The R C O repeats a cycle of

random search—centroid search—mapping. The mapping defines the search

spaces to be used in the random search of the succeeding cycle (Nakai et al., 1998).

It is expected that broader application of R C O is feasible not only in food research

and development but also a variety of optimization purposes in different fields of

study (Nakai etal . , 1999).

A deterministic rule was modified in order to obtain more uniform distribution of

experimental points. Centroid search is conducted by altering the vertex to be

excluded in the centroid computation from the worst to the second worst and then to

the third and so on until the subsequent response becomes worse than the preceding

response (Aishima and Nakai, 1986). Mapping is an approximation of the response

surface. Mapping assists visualization of the true response surface steps of the

simplex optimization (Dou et al., 1993).

A mathematical model for 15 factors (xi - x -15) was formulated using the matrices of

Bowman and Gerard (1976). R C O was applied to the 15-factor model. This model

also was used to optimize computations for 3-15 factors by replacing unused factors

with their optimal level values. To optimize these models, the mapping process was

automated by selecting narrower search spaces for subsequent search cycles to be

one-third the size of search spaces of the previous search cycle around the best

response values (Dou et al., 1993). Dou et al. (1993) showed the number of

experimental points for search convergency for mathematical models with different

number of factors. Dou et al. (1993) also got results that in situations when the

number of factors is less than eight, the number of experimental points required for

optimization slowly increases up to 50. Normally, it needs about 30-50 experimental

points when there are 5 - 6 factors for R C O program. Then the optimization result

Page 35: COMPARISON OF CONSTANT RETORT TEMPERATURE AND …

23

from these 30 to 50 points is obtained. A potential risk of missing the global

optimum exists in this strategy as a result of narrowing the search ranges of factors

selected in the first series of optimization. Random search possesses high flexibility

by freely extending its search spaces outside of the set ranges if required and finally

homing-in on the global optimum in the case of models with local optima. Therefore,

the global optimum may not be frequently overlooked (Dou et al., 1993).

The R C O repeats a cycle of random search-centroid search-mapping. The centroid

search, which computes averages of level values in better groups of response

values, also contributed to improvement of the optimization efficiency. Continuation

of searching around the best response that was found in the random search would

more thoroughly utilize the information derived from the random search. The

mapping defines the search spaces to be used in the random search of the

succeeding cycle. The new search space for each factor should be sufficiently

narrow near the global optimum. Therefore, this mapping step is highly critical in

achieving the efficient optimization without being stalled at local optima. Success of

the R C O for global optimization owes mainly to "a factor ignoring process" (to ignore

factors during computation of trend lines). Mapping process for automating the

intensified line-drawing process was included in the R C O program by eliminating one

or two factors simultaneously in a search cycle by rotating the factors to be ignored.

A S a result, by using model functions appeared in the global optimization papers

reported in the literature, the R C O has found the global optima by running less than

50 experiments for most functions (Nakai et al., 1999).

Figure 3 shows the simplified flowchart diagram of the R C O procedure.

Page 36: COMPARISON OF CONSTANT RETORT TEMPERATURE AND …

24

Start

± Random search

(Define upper and lower limit for each factor: list random combination)

Experiment (Conduct the experiments on

given combination)

* Centroid

(Enter the results: program narrows the ranges and lists combinations)

Experiment (Conduct the experiments on

given combination)

t

Mapping (Enter the results in the program as response: map the results)

Figure 3. The simplified flow diagram of R C O procedure.

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25

Figure 4 shows the operation chart for R C O program. By entering the search

spaces of all factors narrowed by mapping in cycle 1, the random search design

would be printed out or saved to files. After entering the response values obtained

by experimenting, Centroid 22 would print the centroid design. Upon entering

experimental results (response values), Sum/Map23 would print out or save the

summary data of the cycles 1-2 combined and its mapping was then initiated. Then

the procedure was continued to random 31 to random 41 until the optimal results

were obtained (Nakai et al., 1999).

MaxMin was the option button for selecting maximization or minimization. "Select

cycle" contained four options for cycle 1-3 and Simult. Additional cycles 4 and 5

were for optimization involving a larger number of factors (the program can

accommodate 3-30 factors). After one of these option buttons had been "clicked",

the processes in each procedure list should be followed step-by-step for random

search, centroid search, and summary/mapping, except Simult. The two digits after

each step title were the identification numbers to show the step in use (Nakai et al.,

1998).

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26

rMaxMirv

0 Maximization 0 Minimization

f Select cycle-0 1x\ cycle 0 2nd cycle

0 4th cycle

0 3rd cycle

O Sth cycle

0 Simult Shift

Procodura Open first Open first Open f irst

RandomH Centtoid12 Sum/Map! 3

Random21 Centioid22 Sum/Map23

Random31 Centroid32 Sum/Map33

Shf(Gornb41 SeirShfM2 Sum/Map43

Figure 4. A comprehensive operation chart of R C O

program (Nakai et al., 1999)

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27

D. Computer Simulation of the CRT and VRT Processes Durance et al. (1997) defined the CRT and VRT processes through the Retort

Program. C R T processes were defined by a 6-minute vent time, during which the

retort temperature rose linearly to the nominal retort temperature, a period of

constant retort temperature and a period of cooling. Retort temperature during

cooling decreased over 7 minutes, from the final retort temperature of the heating

cycle to the cooling water temperature of 10 °C, then remained constant until the can

center-point reached 90 °C (Durance et al., 1997).

VRT processes included a 6 min vent time to 104 °C, which was the vent time

necessary to ensure a pure steam environment in the test retort. The shape of the

subsequent retort temperature versus time profile was defined by four coordinate

pairs on the profile, (0.25 tv, R T ^ , (0.50 tv, RT 2 ) , (0.75 tv, RT 3 ) , and (tv, RT 4 ) .

Straight-line segments between such points can be made to approximately

curvilinear temperature profiles. The five variables; total time of variable retort

temperature heating (tv) and values of the four intermediate retort temperatures (RT-i,

RT 2 , etc.) were adjusted in each computer simulation experiment as directed by the

Random Centroid Optimization search procedure. The search was further

constrained such that temperatures increased through the cook (i.e. RTi< RT 2< RT 3<

RT 4 ) . If process time specified by R C O exceeded vent + tv then R T 4 was maintained

until accumulated bacterial lethality equaled the target F 0 multiplied by fraction of

sterilization value (Rho), at which point cooling was begun (Durance et al., 1997).

E. Estimation of Rho (p) (Fraction of Sterilization Value)

The fraction of bacterial lethality that occurs in the heating side of thermal processing

or Rho was estimated, allowing the experimenter to end heating at the correct time

and achieve the target F 0 at the end of the cooling time. Relationship of Rho (p) to

retort temperature (retort temperature from 120 to 130 °C), final unaccomplished

temperature (g = RT-T f ; 1< g <12; Tf = center-point temperature at time of steam-off),

and thermal diffusivity (a) of the can contents (a from

1x 10 "7 to 2.2 x 10 "7 m 2/s) was estimated with repeated computer simulations

(Durance etal . , 1997).

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28

Accurate prediction of Rho (p), the fraction of total F 0 which occurs prior to steam-off,

was desirable because Rho (p) would greatly reduce the number of experiments

required for computer optimization of the VRT processes. If Rho (p) is unknown,

many simulations of each VRT process must be performed in order to arrive at a

suitable process time to give the target total F 0 , while one is sufficient if p is known

since "Retort" can be set to begin cooling once a given interim F 0 is achieved in the

heating side. Stumbo (1973) estimated p as a function of final unaccomplished

temperature (g), the difference between maximum retort temperature and the can

center-point temperature of the product at steam-off (Durance et al., 1997). Through

the retort program (computer simulation), Durance et al. (1997) found Rho (p) was

also a function of thermal diffusivity (a), retort temperature, container geometry and

container size.

2. 5. Quality of the Thermally Processed Canned Foods A. Basic Consideration for Canned Foods Thermal resistance of food components of canned foods must be considered to

develop strategies for maximizing retention of quality attributes. Examinations of

these data indicate several important points. The temperature dependence for

vulnerable quality attributes, both sensory and nutritional qualities are similar. Thus,

optimization for one quality attribute will generally optimize the retention of all quality

attributes (Rizvi and Acton, 1982).

In thermal processing of low acid foods, the primary concern of the processor is to

achieve a condition of total absence of microorganisms of public health significantly

especially Clostridium botulinum and its spores as well as other nonpathogenic

microorganisms that may be capable of growing and causing spoilage of the food

under normal storage and distribution conditions. It is only after having assured the

safety of the food that the canner then chooses adequate temperature-time

combinations that would optimize nutrient and organoleptic quality retentions (Ariahu

and Ogunsua, 1999).

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B. Effect of Container Size Each point within the container must receive a heat treatment sufficient to destroy the

microbial population of concern in order to produce a safe product. In conduction-

heated products, the rate of temperature response within the product is limited by the

distance within the food through which the heat must penetrate and by the thermal

diffusivity of the product. The thermal diffusivity is a material property for a particular

product, but the thickness of material through which the heat must penetrate can be

changed by altering the container geometry (Teixeira et al., 1975a). By reducing the

distance required for heat penetration, process times required to achieve a safe

product can be reduced and retention of quality attributes improved (Teixeira et al.,

1975a).

Teixeira et al. (1975a) used a finite difference computer model to calculate

temperature histories at many locations within containers, coupled with microbial

spore and thiamine degradation kinetics to predict thiamine retention in conduction-

heated foods processed at 121.1 °C (250 °F) in different cylindrical can sizes

receiving the same sterilization effect. Ohlesson (1980) did the same research

about different can sizes that provided different volumes. The integrated effect on

quality was expressed as the cook value. Her results showed that improved quality

could be obtained by using cans that provided a minimum distance for heat

penetration to the center (Young, 1984).

The concern for producing high quality products has led to investigations in which

different processes, that accomplish the major objective of safety, have been

compared on the basis of quality retention. High temperature short time processes

have been used to achieve these objectives with convection-heating products and in

aseptic processing (Lund, 1977). Variations in container geometry provide greater

promise for improved quality retention. A significant increase in the nutritional value

of a thermally processed food is possible with the use of container geometries, which

allow more rapid heat penetration compared to conventional cans (Texieira et al.,

1975b). A change in container geometry offers the possibility of improving retention

of quality attributes. For such improvements to be observed, it would appear that

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careful control of processing conditions must be maintained to ensure that

overprocessing does not occur (Young, 1984)

C. Effect of Processing Temperature Teixeira et al. (1969) used a finite difference model to predict thiamine retention in a

conduction-heated product processed in a cylindrical container. Thiamine retention

may decrease with increasing process temperature. When the product receives a

relatively severe heat treatment at the outer surfaces in order to heat the food

sufficiently at the center, this results in lower thiamine retention overall. It was

demonstrated that the optimum temperature would vary depending on the conditions

under study. A heat labile factor with a relatively low z value showed optimum

retention with a relatively low process temperature compared to a high z value quality

factor for which retention was favored by a higher temperature process.

Ohlsson (1980) used a similar type of study to predict the integrated effect on quality

(cook value) in conduction-heated foods in cylindrical cans. Their results showed

the same trends as did those of Teixeira et al. (1969). Also tested were the effects

of changing can size, process lethality (F 0) and initial temperature on the optimum

process temperature required for the minimum cook value. Increasing the can size

shifted the optimum temperature to lower values. Many researchers suggested that

optimal retort temperatures were in the range of 113 to 119 °C for normal can sizes.

Of course, some substantially smaller can diameters or heights would be

advantageous for thermal sterilization at a higher temperature (Young, 1984).

Thus, there is potential to improve quality retention in thermally processed foods by

altering the container geometry and /or retort temperature. Of the two, changes in

container geometry can provide a larger improvement (Teixeira et al., 1975b). The

magnitude of the differences and the optimum retort temperature will depend on the

product and container tested, as well as the thermal degradation kinetics of the

quality attribute under investigation (Young, 1984).

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D. Surface Quality for Canned Foods The maximization of the final canned food quality can be considered in terms of

surface quality retention (Banga et al., 1991; Hendrickx et al., 1993; Silva et al.,

1994) or volume average quality retention (Banga et al., 1991). Average quality is

important for nutrient retention, texture characteristics, etc., while optimum surface

quality is necessary for quality attributes such as appearance, color and aroma (Silva

et al., 1992). The experimental determination of optimum retort temperature to

minimizing the surface cook value of canned foods is an important procedure for

evaluation the effect of thermal processing on product surface quality.

Rate of the surface quality loss (Q) was defined as

Q = 10 <Ts-Tref)/z (13)

Where T s was the surface temperature of the can, T r e T was the reference

temperature, usually it was defined at 121.1 °C, z was defined the surface quality

factor and it was the temperature interval associated with a tenfold surface quality

loss. Accumulated surface quality loss at the product surface (F s) was defined as F s

=EQAt = 110 <Ts"Tref>/z At (Durance et al., 1997). When conduction products are

processed to adequate center lethality and they inevitably received excessive surface

cooks. A C R T process, which yielded the minimum surface cook value, existed for

each combination of containers, product and surface z (Durance et al., 1997)

The comparison of the optimum CRT's with the optimum VRT 's for the same process

time showed that it is possible to get improvement in the quality retention at the

surface up to 20 % by using the VRT process. From the case studies of the VRT

process, there was no straightforward relationship between the achieved

improvements and the z value or target sterilization value (Noronha et al., 1993)

E. Goals of this research project The overall objective of this project was to evaluate the optimum CRT and VRT

processes to decrease the process time or improve surface quality for macaroni and

cheese (MC) by using the Retort program and R C O program. A limited number of

studies have been conducted to compare surface quality or process time of MC in

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307 x 409 cans. As previously discussed, surface quality and process time of the

optimum CRT and VRT processes have been evaluated in conduction-heated

canned foods in small cans (301 x 115 cans or 111 x 305 cans) by several

researchers (Noronha et al., 1993; Durance et al., 1997; Chen and Ramaswamy,

2002). But no one used the big cans to evaluate the surface quality or process time

for conduction-heated canned foods by using the optimum C R T and VRT processes.

In this project, the big cans (307 x 409 cans) were used to evaluate surface quality or

process time for MC by using the optimum CRT and VRT processes.

The use of a canned MC product as the test product provided a conduction-heated

material that was relatively homogeneous and susceptible to Maillard browning.

Conduction-heated foods would be expected to show quality attribute benefits of the

cans because of the very slow heat penetration rate through such products. In this

project, the effect of heating time and heating temperature on surface color change of

MC was evaluated. The objective was to determine whether the surface quality of

MC would be improved or process times decreased by using the optimum CRT and

VRT processes.

The objectives for this research project were:

1) . to consider if first order reaction kinetics could be used to describe the

thermally induced surface color changes in MC product processed in cans by using

different temperatures.

2) . to use the Retort Program and R C O program to select the optimum CRT and

VRT processes for MC.

3) . to compare the surface cook values and process times for MC by using the

optimum C R T and VRT processes with the same sterilization value (F 0).

4) . to confirm the results for surface color parameters, surface cook values for

MC by using an actual steam retort.

5) . to determine whether the optimum VRT processes would decrease the

surface cook value or improve surface quality or decrease process time compared to

the optimum C R T processes.

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CHAPTER III

EXPERIMENTAL METHODS

3.1. Sample Preparation In this study, macaroni and cheese (MC) were used as a sample of a food sensitive

to color change and studied its surface color change. This product also was used to

study the CRT and VRT processes.

According to the instructions of Kraft Dinner (The Original, MACARONI & C H E E S E ,

Kraft Canada, Don Mills, ON, Canada), macaroni was cooked in salted, boiling water

for 9-10 minutes. Water and cheese powder were added to the macaroni in the

prescribed amounts. The product was stirred about 3-5 minutes and then used a

blender to make MC to a paste. The MC paste was hand-filled into 301 x 106 cans

to study the surface color change or 307 x 409 cans for heat penetration tests or

other retort tests. The cans were filled to maximum capacity, sealed in a hand-

operated sealing machine. The cans were stored in the cooling room until

processed.

To study the surface color change, for each test, four cans were fitted with

thermocouples and connected to the data logger (Model DT 505, Sydney, Australia)

to measure the surface temperature of the cans during heat treatment. The surface

color changes were studied using MC samples heated at different temperatures

between 80 and 125 °C. Temperatures of 80 and 100 °C were achieved in a water

bath, and temperatures of 110, 120 and 125 °C were achieved in a saturated steam

retort. The processing times varied from 0 to 9 hours.

For the test temperatures of 80 or 100 °C, four cans were prepared. A wire was

soldered to the surface of each can and then connected with a data-logger,

connected to a laptop equipped with the software program Decipher. The data­

logger was used to monitor the changes of the surface temperature of the can. Then

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the cans were put in the water bath at 80 or 100 °C separately and the test began to

show the surface temperature changes of the cans according to different heat

treatment time. For the test temperatures of 110, 120 or 125 °C, four cans were

prepared and put in a horizontal steam retort (FMC Corporation Central Engineering

Laboratories, Santa Clara, CA, USA). Then the cans were soldered with wires to

monitor the surface temperature of the cans. The wires were connected with data­

logger and laptop to obtain the surface temperature changes of the cans and the

retort temperature change.

3. 2. Surface Color Changes of MC with Heat Treatment The surface color changes of MC were analyzed as first order reactions with respect

to time such that

t = D(log L 1 - log L 2 ) . . . . (14)

Where t was time at a particular temperature, Li and L 2 were the surface color index

(lightness) at time 0 and time t respectively, and D was the time associated with a

tenfold surface color change of MC.

Surface D value was defined as the time in hours at a specified temperature required

to have a 90% of surface color changes. From the plot of the log L versus heating

time, the D value was calculated from the negative inverse of the slope. Then D

values of different temperatures were calculated from surface color L value changes.

The surface z value was the temperature required for a one-log reduction in the log D

value. The z value was a measure of the sensitivity of the surface color to change in

temperature. The surface color change curve could be described using D and z to

predict the effect of the temperature history of the surface color change. Using any

two points on a surface color change curve, surface z value and D value at any

temperature could be determined.

The Minitab software (Version 13, Minitab Inc., State College, PA, USA) was used to

evaluate the heating time and heating temperature to affect on the surface color

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35

changes. Two-way analysis of variance (ANOVA) was performed to find out the

effects of temperature and time on the surface color of MC.

3. 3. Surface Color Measurement of MC MC samples were treated at different temperatures and different times in a water

bath or a retort. Cans were taken from the water bath or the retort and cooled for 4 -

6 hours. The sample was stored at 4 °C and the surface color measurements were

performed within 24 - 48 hours. Following processing, four cans from each run were

opened and the surface color of MC was measured using the HunterLab (Hunter

Associates Laboratory Inc., Reston, Virginia, USA), with a 1.0 cm diameter aperture.

A HunterLab standard black tile and white tile were used to calibrate the colorimeter.

Each test used four cans to measure the surface color parameters. Each can (240 ±

5g in weight) was opened and then the MC put into two plastic Petri dishes (Fisher

Brand, 100 x 15 mm) to measure the surface color parameters. The sample was

measured on a plastic Petri dish covered with a black plastic box as a light-shield.

Each dish was turned 90 degree after each measurement. It was determined that

four individual readings for each plastic dish were sufficient to produce repeatable

results with acceptable standard deviations. Then the average surface color

parameter values for one sample (L, a and b value) were calculated by 16-32

readings from the HunterLab.

3. 4. Heat Penetration Test MC sample was packed into 307 x 409 cans, fitted with Ecklund nonprojecting

thermocouple fittings, steam retorted and center temperature histories were collected

as previously described (Durance and Collins, 1991). All thermocouples needed for

experiments were calibrated against the retort thermometer at the same conditions

used during processing runs. In each trial, the vent time of 6 min was used and

temperatures at the can center and in the retort were recorded every minute using a

data-logger. When the can center temperature was 121 °C and it was the same with

retort temperature (121 °C), the steam was turned off. The cans were cooled to

about 50 °C with cooling water at the end of the process. During processing the

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retort temperature was maintained to the prescribed temperature (121 °C) within 1

°C. There were three replicate retort runs carried out for each of the processes.

The average heating rate index (fh) and the average cooling rate index (fc) of cans

were obtained from can center point temperature histories of 12 cans. After

correction for heat conduction along the thermocouple fitting (Ecklund, 1956)

temperature histories of cans were compared with a computer simulation of the same

process (Durance et al., 1997).

3. 5. Determination of Sterilization Value (F0) Sterilization value of the thermal processes was calculated from the time-temperature

data by the Improved General Method with the reference temperature of 121.1 °C

and a z value of 10 C°. Accumulated bacterial lethality or sterilization value (F 0) at

the center of the can was determined by the following equation:

Fo =1 L A t = E (10 ( ( T c - 1 2 1 - 1 ) / 1 0 ) )A t , (15)

Where T c is the can center temperature.

In this project, the sterilization value (F 0) of the thermal process of 6.0 min was used.

That is to say that any sterilization process for MC was based on the sterilization

value of 6.0 min which determined process time, retort temperature and so on.

3. 6. Retort Program According to the instruction of Retort Program (Durance et al., 1997), the CRT and

VRT processes were defined. Parameters as required were entered and the results

of the C R T and VRT processes were obtained by Retort Program. Appendix B

showed the parameters for the Retort program for the C R T and VRT processes.

Figure 5 showed the simplified flow diagram of the Retort Program procedure.

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Start

1 r Input (Product parameters menu)

Cylindrical geometric diameter and height,

heating rate index, cool diffusivity

modification, initial product temperature

Input (Product parameters menu)

Cylindrical geometric diameter and height,

heating rate index, cool diffusivity

modification, initial product temperature

Input (Retort heating control menu)

Retort temperature, initial retort temperature,

surface color z value, reference temperature for

surface color, number of ramps, ramp parameters,

heat off lethality

t

Input (Retort cooling control menu)

Cooling water temperature, temperature at the

can center (for terminating the process)

Output

Sterilization value, surface cook

value, process time

Retort program

calculation

Figure 5. Simplified flow diagram of the Retort program procedure

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3. 7. RCO Program Random centroid optimization (RCO) program was used to find the optimum VRT

process (Dou et al. 1993). For the VRT processes, different ramp times and total

times were chosen to obtain the results through the Retort program and R C O

program. Here five variable factors were defined. They were the total ramp time (tv)

and four variable retort temperature values (RT-i, RT 2 , R T 3 and RT 4 ) . The five

factors were optimized by using R C O program. Values for parameters in each

experiment were suggested by the R C O program, and then the retort program was

used for simulation experiments. The objective here was to determine the values for

five factors which minimize the process time or the surface cook value for the VRT

process. Then the five variables were adjusted in each Retort Program experiment.

Total ramp time was 90 to 160 minutes and the variable retort temperature ranges

were 104 to 130 °C. Retort temperature ramps were further constrained such that

RTi< RT 2< RT 3< RT 4 . Each ramp was linear with time and extends one quarter of

the total ramp time. The first cycle of optimization included 10 random design

experiments and 4 centroid experiments, after which the results were mapped. The

mapping process is automated by selecting narrower search spaces for subsequent

search cycles to be one-third the size of search spaces of the previous search cycle

around the best response values (Dou et al., 1993). Then the second and third

cycles were continued. Then all results were mapped. The mapping process aids

in visualization of the experimental response surface, indicating the result (Nakai et

al., 1984).

According to Dou et al. (1993), about 30-50 experimental points are needed for

optimization if there are five factors for a project. R C O is usually repeated until one

gets a response considered adequate. After the first cycle of the R C O program, the

approximate position of the optimum was clear. Then the second cycle and third

cycle was continued to conduct random search and centroid search. Because of the

random search, the different search spaces were selected and this will result in

different numbers of experiment. Sometime more experiments and sometime fewer

experiments would be needed for the same factors for a project. Mapping of results,

revealed points which best approach the optimum point and the R C O program would

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39

be stopped. Therefore, about 30 -50 experiments were performed to determine an

optimum VRT process for each case. Because R C O is a random search program,

every search is different. As well as the main optimization objective, constraints or

conditions were included in the experiments. For example, a VRT process that

resulted in a minimum process time to achieve the sterilization value F 0 , with the

constraint that surface cook value must not exceed a certain value of F s .

After first cycle of the R C O program, maps were drawn of the experimental results.

The R C O program generates arrows, which appeared at the bottom of maps,

showing the assigned locations of the optimum, which were used for computing the

approximated slope curves of the response surface. The maps were drawn

according to the methods of Nakai (1990), by assuming that the optimum is located

at an x value marked by a large shaded arrow at the bottom of each map. A pair of

small arrows on maps indicates the boundaries on the x scale between which the

optimum may be located (Dou et al., 1993). Through this method, the optimum VRT

process would be obtained by the R C O program and the retort program. While R C O

maps require experience to interpret correctly, they are very useful for narrowing the

boundaries of search areas for each factor between which the optimum is likely to be

found. The narrowed field may then be searched more intensely in the next cycle.

In my project, sometime about 31 experiments (i.e. 3 cycles) were needed for the

optimum result and sometime about 41 or 49 experiments (i.e. 4 cycles) were

conducted. The search experiments are mapped and the lowest value of P t or F s

was selected from all search experiments. In my project, I would decide to stop the

R C O program if the objective values had differences of less than 3 minutes for the

last 6 experiments when the three search cycles were finished. Otherwise I should

go on the fourth cycle to continue to search the optimum. In no case did I continue

beyond the fourth cycle which corresponded to about 41 to 49 experiments.

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3. 8. Confirmation of the Results for the CRT and VRT Processes in an Actual

Steam Retort

To confirm the results of the computer simulation of the optimum C R T and VRT

processes, retort experiments were done by using the parameters obtained with the

Retort Program and R C O program. Heat penetration data were obtained for MC

packed and processed under the specified conditions. The data obtained were used

to determine process times that were calculated on the same basis for each

treatment.

In this study, the C R T and VRT processes were chosen to confirm the experiments.

An experimental design was employed with four processing temperatures ((113 °C (it

had the minimum surface cook value), 121 °C (normal RT for canned foods) and two

variable retort temperatures (one had the minimum surface cook value, the other had

the minimum process time)) for 12 experimental runs. The cans were connected to

thermocouples to monitor the center point temperature of the cans and monitor the

surface temperature of the cans (that is the retort temperature). Process times were

established based on the sterilization value (F 0) of 6 minutes for MC according to the

data from the Retort Program, based on the fh and fc and the dimension of the cans.

Temperature readings were recorded at 60 s intervals. During the processing, the

retort temperature was maintained to the prescribed temperature within 1 °C. Each

experimental run consisted of a 6-min vent time, a fixed constant retort temperature

time or a fixed variable RT time and then by 15-20 minutes' cooling time until the

center point temperature of the cans reached to about 90 °C after the established

process time. Then cans were taken from the retort and went on cooling until 4 - 6

hours later. Following processing, four cans from each run were opened and then

the surface color of macaroni and cheese was measured by using HunterLab.

The processing conditions, container dimensions and heat treatment used for

macaroni and cheese were outlined in Table 1. The 307 x 409 cans (87.3 mm

diameter by 116 mm high) were packed with 625 ± 5 g of macaroni and cheese. The

cans were processed together in each run. Cans were placed in a metal crate.

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Table 1. Processing conditions of retort experiment

for MC of 307 x 409 cans

Process abbreviation CRT

=113°C

CRT

=121 °C

The VRT processes

Container 307 x 409 307 x

409

307 x 409

Amount of product per can (g) 625 +5 625 ±5 625 ±5

Process temperature (°C) 113 121 104-130

Heating medium Steam Steam Steam

Sterilization value (F 0 , min) 6.0 ±0.1 6.0 ±0.1 6.0 ±0.1

Product initial temperature (°C) 20 20 20

Cooling water temperature (°C) 10 10 10

Initial retort temperature (°C) 22.5 22.5 22.5

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CHAPTER IV

RESULTS AND DISCUSSION

4.1. Surface Color Changes of MC The surface color of MC changed from a light yellow color to dark yellow color with an

increase in heating time, which corresponded to a decrease in the surface color

parameters L, a and b values of MC. As expected, the surface color change of MC

was more rapid at higher temperatures as evidenced by steady changes in L, a and b

values. The surface color parameters L, a and b values changed at different rates

with different temperatures. During heat treatment, L values change from 66.88 to

46.73, a values from 8.64 to 7.13 and b values from 24.72 to 18.93. However, it was

observed (Figure 6, 7 and 8) that there were clear differences in the time dependency

of these surface color parameters.

A N O V A was performed to determine the factors affecting the surface color changes

of MC. For MC, two-way A N O V A indicated that L, a and b values of MC surface

color were significantly changed by heating temperature (p<0.05). From the results

of A N O V A analysis, both heating time and heating temperature had significant effects

on the surface color of MC as measured by L, a and b values.

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Figure 6. Effect of heating time and heating temperature on the

surface color Lvalues of MC

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4 5 6 7 Heating time (hr)

Figure 7. Effect of heating time and heating temperature on the surface

color a values of MC

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45

4 5 6 7

Heating time (hr)

- 0 - b value-80 b value-100

— A — b value-110 —•— b value-120

b value-125

Figure 8. Effect of heating time and heating temperature on the surface color b values of MC

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46

The average L value of the uncooked sample was 66.88 ± 0.13, whereas for the

other samples, after the different heat treatments, the average L values were

between 46.73 and 66.57. Thus the uncooked sample and the cooked samples

were all relatively bright samples but brightness decreased as a result of heat

treatment, especially with higher heating temperatures. An increase in temperatures

from 80 to 125 °C markedly decreased the brightness of MC (figure 6). Two-way

A N O V A analysis indicated that L value was significantly affected (p<0.05) by heating

time and heating temperature.

From figure 7, the final a values, indicative of the redness of MC, varied between

7.13 and 8.61 for the heated samples, whereas the uncooked sample had an

average a value of 8.64 ± 0.12. The low magnitude of a value indicated that the

development of the red color was small during heat treatment for MC. Two-way

A N O V A analysis indicated that a value was also significantly associated with

(p<0.05) heating time and heating temperature.

From figure 8, the positive b values indicated the yellowness of MC. The uncooked

sample had the average b value of 24.72 ± 0.15, which showed the prominence of

the yellow color in the sample due to the presence of the cheese powder. The

heated samples had final b values in the range of 18.93 and 24.58, showing that

these samples had a marked decrease in yellow color. Two-way A N O V A analysis

indicated that b value was also significantly affected (p< 0.05) by heating time and

heating temperature.

From Figure 9 and Figure 10, one can see that L values decreased more than the a

and b values with the same conditions. Figure 9 shows the surface color overtime at

100 °C, while figure 10 shows the surface color differences with heating time at

temperature 100 °C.

MC darkened to a brown color with increased heating. The surface color changes of

MC are related to the formation of browning pigments in the MC probably due to

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47

Maillard browning. On the basis of high correlations, HunterLab L values were found

to be the best predictor of surface color change. L values were chosen as the main

surface quality indicator and used to study the surface color change of MC. In this

study, L values were considered to determine the surface color changes of MC and a

and b values were not considered.

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Figure 9. Surface color parameters (L, a and b) changes with the

heating time (hr) at heating temperature 100 °C

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Figure 10. Surface color difference versus heating time (hr) at

heating temperature 100 °C

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50

4. 2. D Values and z Value of MC The surface color changes of MC followed first order reactions. The D value was

calculated by the following equation:

t = D(log U - l o g L 2) (16)

Where t was time at a particular temperature, l_i and L 2 were the surface color index

at time 0 and time t respectively, and D was the time associated with a tenfold

surface color change of the MC.

Table 2 showed the D values at different temperatures.

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Table 2. D values at different heating temperature (°C)

Temperature (°C) Linear equation D values (hr) R '

80 °C y = -0.0013x+ 1.8245 769.2 R 2 = 0.9902

100 °C y = -0.0071x+ 1.8187 140.8 R2 = 0.9828

110°C y = -0.0172x+ 1.8204 58.1 R 2 = 0.9749

120 °C y = -0.035x + 1.8159 28.6 Rz = 0.9777

125 °C y = -0.0525x+ 1.8196 19.0 R2 = 0.988

Page 64: COMPARISON OF CONSTANT RETORT TEMPERATURE AND …

52

Figure 11 showed the effect of heating time on the log L of MC at 80, 100, 110, 120

and 125 °C. The D values with different temperatures were obtained from Figure 11.

We found that the correlation coefficients (R 2) of all regression models were larger

than 0.97, meaning there were good agreements between the model-predicted

values and experimental values. Thus, the kinetic models of first order reactions

were assumed to adequately describe the surface color changes of MC during heat

treatment. Figure 11 showed that higher temperature had the lower D values. That

was to say that the higher temperature had more effect on the surface color.

The surface z value was the temperature required for a one-log reduction in the log D

value. Figure 12 showed that the surface z value of MC through the log D values at

different heating temperatures. From the linear equation y=-0.036x+5.7611, z value

was calculated and the surface z was 28 C° for MC.

Page 65: COMPARISON OF CONSTANT RETORT TEMPERATURE AND …

53

O) O

2 3 4 5 6 7 8 9 Heating time (hr)

R2 = 0.9902

R2 = 0.9837

A Log L (80 C) o Log L (100 C) oLogL(110C) x Log L (120 C) • Log L (125 C)

Figure 11. Effect of heating time on the log L of MC at different

heating temperatures (80, 100, 110, 120 and 125 °C).

Page 66: COMPARISON OF CONSTANT RETORT TEMPERATURE AND …

Figure 12. Effect of heating temperature on the log D values of MC

Page 67: COMPARISON OF CONSTANT RETORT TEMPERATURE AND …

55

4. 3. Heat Penetration Parameters The average heating rate index (fh) and the average cooling rate index (fc) were

determined from the heat penetration data for MC in 307 x 409 cans by retort

experiments in three process runs (12 cans). The calculation of the heating rate

index (fh) and the cooling rate index (fc) was performed using the heat penetration

curves. The linear portion of the log (T r-T c) versus time curve was chosen and the

heating rate index (fh) was calculated by linear regression. Similarly, the linear

portion of the log (T c-T w) versus time curve was chosen and the cooling rate index (fc)

was calculated. The average heating rate index (fh) and the average cooling rate

index (fc) of MC through heat penetration test were presented in Table 3. Note that

the fc was greater than fh, indicating that the MC heated faster than it cooled.

Page 68: COMPARISON OF CONSTANT RETORT TEMPERATURE AND …

56

Table 3. The average heating rate index and the average cooling

rate index for MC obtained from heat penetration tests in

three process runs (12 cans).

CRT= f h fh fh Mean fc fc fc Mean

121 °C (4 (4 (4 value (4 (4 (4 value

cans) cans) cans) f h cans) cans) cans) fc

307x409 59 58 57 58.0 ± 76.9 77.5 77.5 77.3 ±

cans 1.0 0.4

Page 69: COMPARISON OF CONSTANT RETORT TEMPERATURE AND …

57

4. 4. Comparison of Can Center Temperatures for the CRT Processes by

Retort Program and Retort Experiment

The finite difference model for cylindrical containers (Retort Program, Durance et al.,

1997) was tested against experimental data obtained by measuring the can center

temperature. In Figure 13, the can center temperature predictions of the finite

difference model were compared with the can center temperature measured during

the processing of 307 x 409 cans for MC by using retort experiment. A good

agreement between predicted and experimental temperatures was observed in the

heating phase of the process. There were small differences observed in the cooling

phase of the process. There were some difficulties in controlling the conditions

during the cooling phase of the phase. This was because water used for cooling

was not controlled could change significantly between different processes.

Figure 13 compared the two kinds of can center temperature histories; the results

were very similar to each other. From this figure it was concluded that the Retort

program was sufficiently accurate for process optimization purposes.

Page 70: COMPARISON OF CONSTANT RETORT TEMPERATURE AND …

58

125

o 100

<D

3 •+->

(0 o. E <D +->

a> +•» c a>

O

75

50

25

20 40 60 80 100

Heating time (min)

o Can #1 - Model

120

Figure 13. Comparison of the can center temperature histories of MC

(retort experiment and Retort Program), C R T =121 °C.

Page 71: COMPARISON OF CONSTANT RETORT TEMPERATURE AND …

59

4. 5. Rho, Retort Temperature and Unaccomplished Temperature Rho is the fraction of sterilization value (F 0), which occurs during the heating side of

thermal processing. Prior knowledge of Rho greatly reduces the number of

experiments required for computer optimization of the VRT processes. When Rho is

known, the experimenter knows when to end heating in the simulation and achieve

the target sterilization value (F 0) at the end of the cooling phase (Durance et al.,

1997).

In this project, one can size and one product were used and only the effect of

unaccomplished temperature and retort temperature on Rho was considered.

Through the Retort program, Rho values were obtained from retort temperature and

unaccomplished temperature. Figure 14 and Figure 15 showed the relationships

among Rho, retort temperature (111 to 121 °C) and final unaccomplished

temperature (3 < g < 15). From the Retort Program, the results were concluded that

Rho decreased with increasing final unaccomplished temperature, but Rho was only

slightly changed with increasing retort temperature. Therefore for simplicity, Rho

was predicted from unaccomplished temperature alone.

In addition, one-way A N O V A analysis indicated that the unaccomplished temperature

was a significant factor affecting the Rho (p<0.001) and retort temperature was not a

significant factor affecting the Rho (p>0.001).

Page 72: COMPARISON OF CONSTANT RETORT TEMPERATURE AND …

60

0.55

CRT=111 oC y = 0.679e° 1 0 6 2 x

= 0.996

3 4 5 6 7 8 9 10 11 12 13 14 15

g values (C)

CRT=116oC y = 0.6896e° 1 1 0 8 x

R2 = 0.996

CRT=121 oC y = 0.654e 0 0 9 9 3 x

R2 = 0.994

o Tr=111 C • Tr=116 C X Tr=121 C

•Expon. (Tr=111 C) Expon. (Tr=116C) Expon. (Tr=121 C)

Figure 14. The relationship of Rho and final unaccomplished temperature (g)

Page 73: COMPARISON OF CONSTANT RETORT TEMPERATURE AND …

61

o .c

0.55

0.45

0.35

0.25

0.15

0.05 111 113 115 117

Retort temperature (C)

119 121

-—g=l5 C ^^g=14C _+_g=13 c _^g=12C -«-g=11 C

g=10 C - » - g = 9 C - « - g = 8 C -x-g=7 C —x-g=6 C ^-g=5C ^-g=4C -o-g=3 C

Figure 15. The relationship of Rho and retort temperature.

Page 74: COMPARISON OF CONSTANT RETORT TEMPERATURE AND …

62

4. 6. Surface Cook Values (Fs) of the CRT and VRT processes

Surface cook values (F s) for MC were estimated from the equation F s = Z (10 ( T s " 1 2 1 1 ) / z )

At. Here T s was the surface temperature of the can. The surface temperature of

MC was assumed to equal to the can surface temperature since the thermal

conductivity of the steel can was so large as not to provide any significant insulation

of MC from the steam. Table 4 and Figure 16 compared surface cook values of MC

for C R T processes at different surface z values. The optimum RT varied from 111

°C to 113 °C, depending on different surface z values. The bold values of table 3

were the minimum surface cook value for the optimum C R T process. In each case,

the CRT process had the same sterilization value (F 0) of 6.0 min.

Page 75: COMPARISON OF CONSTANT RETORT TEMPERATURE AND …

63

Table 4. The C R T processes at different surface z values in terms

of surface cook value (Fs) with the same F 0 =6 min

CRT, Tr

(°C)

Fo

(min)

Pt

(min)

Fs

(z=24)

Fs

(z=26)

Fs

(z=28)

Fs

(z=30)

Fs

(z=32)

111 5.91 148.1 55.3 59.7 63.7 67.5 71.0

113 5.99 124.8 56.3 59.9 63.2 66.3 68.9

115 5.95 108.0 58.8 61.7 64.3 66.7 69.0

117 5.97 96.0 63.2 65.4 67.3 69.0 70.6

118 5.94 91.0 65.9 67.7 69.2 70.6 71.9

119 5.96 87.2 68.8 70.1 71.4 72.5 73.4

1.21 6.01 80.0 76.3 76.7 77.1 77.4 77.7

123 5.95 74.0 85.3 84.5 83.9 83.3 82.9

125 5.95 69.1 96.3 94.0 92.1 90.6 89.3

Page 76: COMPARISON OF CONSTANT RETORT TEMPERATURE AND …

64

Figure 16. The C R T processes at different z values in terms of surface cook

values (F s) with the same F0=6 min

Page 77: COMPARISON OF CONSTANT RETORT TEMPERATURE AND …

65

To get the minimum surface cook value of MC in 307 x 409 cans, the optimum CRT

process of 113 °C was found through Retort Program when z value of MC equaled to

28 C°. When the F s of CRT process of 113 °C was 63.2 min and F 0 was 5.99 min, its

process time (P t) was 124.8 min plus vent time. R C O was employed to determine

the optimum VRT processes for MC that minimized Fs based on the different z

values of MC. The optimum VRT process reduced the surface cook value (F s) while

maintaining the F 0 value very close to 6.0 min and maintaining the P t no higher than

the P t of the CRT process. When z value was 28 C°, 49 computer simulation

experiments were used to complete the research for the optimum VRT process and

the results were summarized in Table 5. By using the same methods, the optimum

VRT processes were determined when z was 24, 26, 30, 32 C° (Table 6, 7, 8, 9).

Page 78: COMPARISON OF CONSTANT RETORT TEMPERATURE AND …

66

Table 5. Optimization experiments for VRT processes to minimize F s with

Pt < 124.8 min and 5.9 < F 0 < 6.1 min (z= 28 C°), the best result

was the bold value (F s = 56.2 min)

Trial Ramp time RT! R T 2 R T 3 R T 4 F 0 Fs(min) Pt(min)

1 153.7 108.9 112.9 121.7 128.1 5.96 59.0 117.1

2 135.3 105.1 11.7 123.2 125.1 6.03 59.3 103.3

3 101.9 107.4 110.6 123.6 127.9 6.05 64.0 96.3

4 132.0 109.6 119.2 123.8 128.3 6.04 61.2 96.7

5 148.9 109.0 116.2 123.0 129.6 5.93 58.8 107.6

6 98.2 107.8 112.7 120.4 129.3 5.99 64.2 95.7

7 143.2 105.4 113.1 121.9 127.7 5.93 58.3 114.5

8 96.7 106.5 117.1 121.2 128.9 6.02 64.3 91.9

9 147.7 106.5 112.6 124.7 126.4 6.08 60.3 113.9

10 153.2 106.3 113.4 122.9 126.4 6.06 58.9 116.8

11 146.9 106.9 114.7 122.5 127.4 5.93 58.4 111.7

12 149.4 107.2 113.6 122.8 127.6 5.98 58.9 114.2

13 145.7 106.5 114.6 123.1 127.0 6.01 58.9 111.3

14 145.8 107.0 114.5 122.9 127.4 5.97 58.8 111.2

15 121.8 104.5 115.7 122.9 125.9 5.98 59.8 101.8

16 149.3 104.3 110.0 124.7 125.7 5.97 59.1 119.5

17 124.5 107.7 113.5 123.5 129.8 5.92 60.9 103.0

18 121.7 105.7 115.7 125 127.7 6.07 61.9 99.1

19 127.6 106.6 112.2 120.8 129.0 5.98 59.1 109.8

20 146.1 107.0 114.6 122.7 127.8 6.01 58.8 111.5

21 146.8 107.1 114.4 122.6 127.9 5.92 58.5 111.9

22 146.2 106.6 114.1 122.7 127.4 6.02 58.8 112.6

23 146.8 107.0 114.4 122.7 127.9 5.96 58.6 112.0

24 136.2 104.7 115.9 121.5 129.4 6.03 58.3 108.4

25 140.2 106.5 116.4 121.3 125.3 6.09 58.4 108.2

26 133.5 107.4 112.9 123.0 129.8 6.01 60.2 108.5

Page 79: COMPARISON OF CONSTANT RETORT TEMPERATURE AND …

27 133.4 104.5 111.3 120.7 127.7 6.02 58.7 115.0

28 148.5 107.1 111.0 122.6 129.2 6.02 59.9 118.5

29 143.2 104.4 110.1 123.0 126.0 5.96 58.2 118.4

30 141.9 105.6 114.0 122.1 127.2 5.93 58.2 112.2

31 141.9 105.6 114.0 122.1 127.3 5.93 58.2 112.2

32 143.3 105.7 113.6 122.3 127.7 5.94 58.4 113.1

33 142.7 105.9 114.3 122.2 127.2 5.91 58.2 111.7

34 130.9 106.6 110.0 120.5 125.3 6.06 59.3 115.1

35 146.5 104.4 117.6 122.3 126.9 5.97 56.2 109.8

36 134.4 105.0 116.7 124.0 127.0 6.04 59.8 103.9

37 143.3 105.2 114.0 122.3 126.9 5.94 58.2 112.7

38 141.8 105.3 115.2 122.0 127.6 5.94 58.0 110.6

39 142.1 105.0 114.4 122.2 127.4 5.98 58.2 111.9

40 142.1 105.0 114.4 122.2 127.3 5.97 58.2 111.9

41 145.6 106.3 116.3 120.9 125.7 5.99 57.6 110.5

42 149.9 106.1 117.2 122.3 125.1 6.04 58.1 109.2

43 142.3 104.4 116.7 123.8 126.9 6.03 57.5 107.6

44 145.1 105.7 119.6 121.3 127.4 5.96 58.0 103.9

45 144.3 105.2 117.1 122.1 126.9 5.98 57.9 108.2

46 145.9 105.4 117.5 122.1 126.4 5.99 57.9 107.8

47 145.2 105.3 116.6 122.3 126.4 5.96 57.9 109.0

48 145.1 105.2 117.3 122.4 126.8 5.97 57.9 109.1

49 145.8 105.5 117.2 121.7 126.5 5.93 57.6 108.5

Page 80: COMPARISON OF CONSTANT RETORT TEMPERATURE AND …

68

Table 6. Optimization experiments for VRT processes to minimize F s with

Pt < 148.1 min and 5.9 < F 0 < 6.1 min (z = 24 C°), the result was

the bold value (F s = 50.4 min)

Trial Ramp time RTi R T 2 R T 3 R T 4 F 0 (min) F s (min) Pt (min)

1 107.7 108.5 111.6 124.1 128.2 6.07 61.4 97.1

2 159.3 107.1 115.2 122.7 125.6 5.93 52.5 114.8

3 125.9 106.8 119.1 122.0 127.0 6.02 \ 56.4 98.4

4 156.0 106.1 112.8 122.7 126.3 6.07 53.3 121.2

5 102.9 108.2 111.7 120.6 129.8 5.95 60.8 98.1

6 122.2 107.9 119.7 121.9 128.1 5.92 57.2 95.6

7 97.2 104.5 115.8 121.8 128.3 5.98 61.6 93.1

8 120.7 10.07 117.5 123.4 125.3 6.06 57.8 97.7

9 101.7 109.9 117.6 123.7 128.0 6.07 63.1 89.6

10 107.2 104.5 117.3 124.0 128.4 6.04 61.2 93.5

11 136.8 107.0 116.9 122.5 126.4 5.93 54.5 104.3

12 133.2 107.2 115.7 122.0 127.4 5.91 54.4 105.3

13 132.9 107.0 115.3 122.3 126.8 6.00 54.9 105.9

14 132.2 107.3 115.4 122.2 127.0 5.99 54.9 105.5

15 130.0 104.7 117.4 121.6 127.7 5.93 54.4 103.6

16 126.7 104.6 111.4 121.3 125.6 5.96 54.2 111.0

17 157.9 109.2 118.0 123.5 126.8 6.04 54.2 106.5

18 126.3 104.7 114.2 122.9 127.4 6.01 55.9 105.3

19 159.2 107.3 112.1 123.5 125.0 5.94 53.8 120.1

20 129.8 108.8 111.7 123.1 127.7 5.92 56.4 107.6

21 137.8 104.4 119.6 124.2 126.4 6.04 55.9 102.6

22 151.8 106.9 113.9 122.7 125.9 5.97 53.4 114.8

23 152.5 106.9 115.1 122.8 126.3 5.91 53.4 111.3

24 146.2 106.0 113.8 122.3 126.0 6.04 53.6 114.2

25 146.0 106.3 115.0 122.3 126.4 6.06 53.6 111.8

26 131.0 104.2 115.4 120.4 126.8 5.93 52.1 109.9

Page 81: COMPARISON OF CONSTANT RETORT TEMPERATURE AND …

27 158.6 105.4 115.8 120.2 127.4 5.96 51.2 117.1

28 151.9 109.4 112.8 121.9 127.1 5.95 53.8 11.6.1

29 133.8 109.4 117.5 123.6 125.8 6.09 56.8 100.3

30 158.2 107.9 117.2 121.5 126.7 5.94 52.5 100.4

31 152.9 106.3 116.5 121.9 127.8 5.99 52.7 111.5

32 152.0 106.2 116.0 121.3 126.8 5.91 52.1 112.6

33 152.6 106.1 115.3 121.5 126.6 5.92 52.1 114.2

34 151.3 106.0 115.5 121.3 127.0 5.94 52.2 113.6

35 151.6 105.8 115.1 121.6 126.8 5.98 52.4 114.5

36 151.5 104.2 112.1 120.1 126.0 5.95 50.4 123.8

37 158.5 104.6 116.6 122.8 128.9 6.06 52.7 114.0

38 152.4 105.4 115.0 123.9 128.4 6.01 53.8 113.2

39 149.1 105.2 114.9 120.7 126.7 5.93 51.8 115.3

40 153.2 105.6 115.0 120.9 126.8 5.94 51.7 116.0

41 149.0 105.2 114.8 120.7 126.7 6.02 52.1 115.8

42 148.9 105.2 115.0 120.7 126.8 6.04 52.2 115.3

43 150.9 106.1 113.8 122.6 128.4 6.02 53.4 115.5

44 148.2 104.6 116.3 111.1 126.7 6.06 53.0 111.7

45 152.3 105.1 114.5 120.5 126.7 5.93 51.5 117.6

46 153.0 105.3 114.6 120.7 126.7 5.95 51.7 117.3

47 153.0 105.3 114.6 120.7 126.7 5.96 51.7 117.2

48 152.2 105.2 114.6 120.6 126.7 5.96 51.7 117.1

Page 82: COMPARISON OF CONSTANT RETORT TEMPERATURE AND …

70

Table 7. Optimization experiments for VRT processes to minimize F s with

Pt < 148.1 min and 5.9 < F 0 < 6.1 min (z = 26 C°), the result was

the bold value (F s = 53.6 min)

Trial Ramp time R T T R T 2 R T 3 R T 4 F 0 (min) F s (min) Pt (min)

1 106.7 108.4 111.5 124.1 128.1 5.97 62.4 96.7

2 158.3 107.0 115.1 122.6 125.5 5.93 55.3 115.0

3 125.0 106.7 119.0 121.9 127.0 6.08 58.4 98.5

4 155.1 106.0 112.7 122.6 126.3 6.06 56.3 119.5

5 102.0 108.1 111.6 120.6 129.7 6.03 62.5 98.0

6 121.2 107.8 119.6 121.8 12.08 6.00 59.1 95.9

7 96.3 104.4 115.6 121.7 128.2 6.01 62.4 93.8

8 119.7 106.9 117.4 123.3 125.2 6.09 59.6 97.7

9 100.8 110.0 117.5 123.6 127.9 6.05 64.1 89.6

10 106.3 104.5 117.2 123.9 128.4 5.97 62.1 93.3

11 135.9 106.9 116.7 122.5 126.4 5.94 56.8 104.5

12 133.2 106.4 116.7 122.6 127.0 6.03 57.3 104.0

13 132.9 106.2 116.3 122.9 126.5 6.04 57.4 104.3

14 132.1 106.4 116.4 122.9 126.7 6.04 57.6 103.7

15 130.5 104.1 115.9 122.4 125.3 6.01 55.7 106.8

16 147.3 109.7 118.1 124.2 125.2 6.05 57.9 102.5

17 133.7 106.3 113.4 121.1 125.5 5.95 56.1 110.7

18 137.7 108.9 113.7 122.9 128.4 6.04 57.9 108.4

19 112.6 105.7 115.1 122.4 127.8 6.04 59.8 98.9

20 151.2 106.4 11.6.6 121.4 126.7 5.91 54.9 110.9

21 148.7 105.9 115.8 124.4 126.7 6.09 57.0 109.9

22 142.8 107.3 112.4 120.3 127.7 5.92 55.8 116.4

23 143.3 106.2 114.7 121.6 126.5 6.00 55.8 111.9

24 147.6 106.1 114.5 121.9 126.6 5.91 55.4 113.4

25 145.8 106.0 114.7 122.0 126.2 6.04 55.9 112.6

26 148.2 106.6 114.0 121.6 126.7 5.98 55.6 114.8

Page 83: COMPARISON OF CONSTANT RETORT TEMPERATURE AND …

27 141.8 105.4 115.7 123.1 129.8 6.06 56.7 108.9

28 147.8 107.5 115.2 124.0 125.8 5.97 56.9 109.4

29 137.9 108.7 118.7 120.2 125.3 5.94 56.3 102.2

30 137.7 105.1 114.1 121.4 128.1 6.05 56.1 111.7

31 130.3 108.3 117.9 123.0 129.6 6.03 58.5 99.7

32 152.4 105.0 118.8 123.1 126.4 6.02 56.2 107.1

33 147.2 106.0 115.2 122.0 126.5 5.98 55.6 112.2

34 149.7 106.5 115.0 121.8 126.7 5.92 55.3 113.1

35 146.2 106.0 115.4 122.0 126.5 5.96 55.6 111.3

36 146.3 106.1 115.3 121.9 126.5 5.96 55.5 111.7

37 154.7 107.5 118.8 121.2 125.2 6.03 55.8 106.8

38 153.9 106.8 114.2 123.5 129.9 5.93 56.1 114.4

39 150.6 106.4 115.3 121.9 126.8 5.98 55.4 123.1

40 150.6 106.4 115.3 121.9 126.7 5.98 55.4 113.1

41 150.3 106.4 115.5 121.9 126.7 6.01 55.5 112.6

42 148.2 106.2 115.4 121.8 126.9 6.07 55.7 112.7

43 145.1 104.6 117.3 120.9 129.3 5.97 54.9 109.6

44 153.3 104.4 112.3 120.8 126.5 5.97 53.6 123.0

45 151.5 105.8 115.3 121.5 127.3 5.91 54.8 114.0

46 150.0 105.7 115.3 121.4 127.5 5.94 55.0 113.7

47 151.7 105.8 115.3 121.5 127.3 5.91 54.8 114.0

48 151.4 105.8 115.0 121.6 127.0 5.95 55.1 114.6

Page 84: COMPARISON OF CONSTANT RETORT TEMPERATURE AND …

Table 8. Optimization experiments for VRT processes to minimize F s with

P t < 124.8 min and 5.9 < F 0 < 6.1 min (z = 30 C°), the result was

the bold value (Fs = 59.6 min)

Trial Ramp time RTi R T 2 R T 3 R T 4 F 0 (min) Fs(min) Pt (min)

1 147.9 108.4 114.0 12.01 127.6 5.93 60.8 113.9

2 129.5 104.6 111.1 123.4 128.6 6.00 62.1 109.7

3 96.1 106.9 119.8 124.9 125.7 6.05 67.1 86.3

4 126.2 109.1 111.2 124.2 126.9 6.00 63.6 105.5

5 143.1 108.5 117.0 122.7 125.7 6.08 61.3 105.3

6 92.4 107.3 119.5 120.9 129.4 6.03 67.0 88.4

7 137.4 104.9 119.3 121.1 127.0 5.93 59.8 103.1

8 90.9 106.0 112.4 123.1 129.2 5.97 67.1 90.4

9 141.9 106.0 113.1 120.9 129.1 5.94 60.6 114.9

10 147.4 105.8 113.7 121.3 126.8 5.91 60.2 115.8

11 143.5 106.7 115.4 121.4 127.2 6.08 60.6 110.9

12 140.8 106.0 114.3 121.6 127.8 6.06 60.7 111.9

13 139.9 106.0 114.9 121.9 127.4 6.05 60.7 110.3

14 141.1 106.4 115.0 121.9 127.2 5.97 60.5 110.1

15 115.9 105.0 118.8 124.3 127.3 5.98 63.3 94.5

16 127.3 106.6 116.7 124.0 128.7 5.94 62.0 100.2

17 144.9 107.2 119.4 123.3 129.6 6.00 61.1 101.9

18 112.2 106.4 116.7 120.7 125.5 5.95 61.6 99.0

19 119.7 108.8 117.2 124.9 127.8 6.07 64.1 95.5

20 138.4 104.6 114.0 120.7 125.1 5.97 59.9 113.3

21 141.6 105.7 115.5 121.3 126.7 5.93 59.9 110.4

22 141.2 105.6 115.0 121.2 127.0 5.95 60.0 111.4

23 141.7 105.6 115.1 121.1 127.0 5.96 60.0 111.5

24 140.5 105.7 115.4 121.2 127.1 6.02 60.2 110.5

25 145.7 106.9 119.5 120.9 126.7 6.04 60.2 103.7

26 121.6 106.6 119.2 121.8 127.5 6.09 61.6 98.6

Page 85: COMPARISON OF CONSTANT RETORT TEMPERATURE AND …

27 141.5 106.7 118.3 123.2 125.3 6.05 61.0 103.4

28 126.2 106.6 115.8 121.0 128.0 5.97 60.9 104.4

29 140.1 105.3 115.8 121.1 126.6 5.92 59.7 109.8

30 140.9 105.5 116.7 12110 126.5 5.91 59.6 108.4

31 141.5 105.7 116.9 121.1 126.9 5.94 59.7 108.1

32 149.9 106.8 115.1 122.3 125.1 5.98 60.5 1.12.5

33 134.8 105.5 114.4 123.9 126.9 6.01 61.6 107.0

34 140.2 105.4 117.1 121.1 126.7 6.07 60.1 107.8

35 141.0 105.6 116.3 121.1 126.6 5.98 59.9 109.2

36 140.5 105.5 117.0 121.1 126.7 6.05 60.0 108.0

37 140.2 105.4 116.8 121.1 126.7 6.04 60.0 108.3

38 148.4 107.4 117.8 123.2 127.7 6.04 60.8 105.9

39 140.2 105.4 117.1 121.1 126.7 6.07 60.1 107.8

40 140.9 105.5 116.5 121.1 126.6 6.00 59.9 108.9

41 140.3 105.5 117.2 121.1 126.7 6.08 60.1 107.7

42 140.1 105.4 117.0 121.1 126.7 6.07 60.1 108.0

Page 86: COMPARISON OF CONSTANT RETORT TEMPERATURE AND …

Table 9. Optimization experiments for VRT processes to minimize F s

with P t < 124.8 min and 5.9 < F 0 < 6.1 min (z = 32 C°), the

result was the bold value (F s = 61.2 min)

Trial Ramp time RT-, R T 2 R T 3 R T 4 F 0 (min) F s (min) Pt (min)

1 94.7 106.0 114.9 120.7 126.4 6.05 65.4 94.2

2 148.7 107.4 118.5 124.3 127.4 6.06 63.0 104.1

3 145.2 107.7 112.3 123.6 129.4 5.91 64.0 113.3

4 137.0 109.4 116.0 124.3 125.7 5.94 63.9 102.7

5 91.7 105.9 114.9 122.2 129.5 5.96 67.5 90.0

6 157.6 106.1 112.9 123.5 128.1 5.94 63.5 118.8

7 118.3 107.2 119.0 123.4 125.8 6.03 64.3 94.9

8 147.7 108.3 110.7 125.0 127.9 6.05 65.8 115.4

9 110.8 107.7 110.8 120.3 127.8 6.01 64.6 103.9

10 118.8 105.1 110.5 120.6 125.5 5.98 63.0 109.1

11 141.5 107.1 114.1 123.3 127.2 5.94 63.3 109.8

12 136.1 107.0 115.4 123.2 126.5 6.03 63.3 106.0

13 137.7 106.7 114.6 123.1 127.2 5.95 63.1 107.9

14 133.6 107.4 115.3 123.3 126.7 6.00 63.4 104.9

15 125.9 107.6 111.9 123.6 125.4 5.97 64.2 105.9

1 6 1 4 4 . 3 1 0 4 . 4 1 1 1 . 7 1 2 0 . 9 1 2 6 . 5 5 . 9 4 6 1 . 2 1 1 9 . 7

17 133.8 108.2 110.5 121.4 128.4 5.94 64.3 113.1

18 106.2 107.6 115.7 120.7 126.5 5.98 64.3 97.3

19 93.6 106.6 110.5 122.7 128.2 6.03 66.9 93.5

20 90.9 104.6 114.0 123.8 128.1 5.99 67.2 89.6

21 137.1 106.1 114.1 122.4 126.6 5.95 62.8 109.6

22 138.2 106.1 113.9 122.4 126.8 5.91 62.7 110.1

23 137.9 106.2 114.0 122.5 126.6 5.95 62.9 109.9

24 135.7 106.1 113.3 122.2 126.6 5.97 63.0 110.4

25 155.2 108.0 112.5 122.8 126.8 5.93 64.0 117.9

26 121.4 105.9 113.0 120.5 127.3 5.95 63.0 106.9

Page 87: COMPARISON OF CONSTANT RETORT TEMPERATURE AND …

27 142.0 104.9 114.9 120.5 126.4 5.98 61.9 112.2

28 141.7 106.0 113.8 122.2 128.6 6.05 63.1 112.3

29 139.9 105.5 113.7 121.7 126.6 5.93 62.5 112.5

30 136.6 105.5 113.5 121.4 126.7 5.99 62.7 111.8

31 136.7 105.5 113.5 121.4 126.7 5.97 62.6 111.9

32 136.5 105.5 113.5 121.4 126.7 5.99 62.7 111.8

Page 88: COMPARISON OF CONSTANT RETORT TEMPERATURE AND …

76

Table 10 compared the results obtained for the optimization of the VRT processes,

considering the minimum surface cook values for each surface z value. Table 10

showed that when the surface z values increased, the minimum surface cook value

of its optimum VRT process also increased.

Figure 17 showed the best VRT processes to yield minimum surface cook values at

different surface z values.

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77

Table 10. Comparison of the optimum VRT processes with minimum F s

and Pt in term of different z values

z value Ramp time RTi R T 2 R T 3 R T 4 F 0 (min) F s (min) P t (min)

24 151.5 104.2 112.1 120.1 126.0 5.95 50.4 123.8

26 153.3 104.4 112.3 120.8 126.5 5.97 53.6 123.0

28 146.5 104.4 117.6 122.3 126.9 5.97 56.2 109.8

30 140.9 105.5 116.7 121.0 126.5 5.91 59.6 108.4

32 144.3 104.4 111.7 120.9 126.5 5.94 61.2 119.7

Page 90: COMPARISON OF CONSTANT RETORT TEMPERATURE AND …

Figure 17. The optimum VRT processes to yield the minimum F s of MC

in terms of different z values.

Page 91: COMPARISON OF CONSTANT RETORT TEMPERATURE AND …

79

Table 11 compared the surface cook values of MC for the CRT and VRT processes

at different z values. Here it was found that the optimum VRT processes had

smaller surface cook values than the optimum C R T processes. For example, when

surface z value was 28 C°and C R T 113 °C was chosen as the optimum C R T and its

minimum surface cook value was 63.2 min, but the surface cook value of the

optimum VRT process is only 56.2 min. At the same time, comparison of the

optimum CRT and VRT processes showed that the process times of the VRT

processes were smaller than those of the C R T processes. The optimum VRT

process decreased surface cook value 11.1 % relative to the optimum CRT process

with the same sterilization value (F 0 equaled to 6.0 min). Of course, different surface

z values resulted in different surface cook values for the C R T and VRT processes.

From Table 11, it was found that when the surface z value increased, its surface cook

values (F s) of the CRT and VRT processes all increased. For the C R T processes,

when z value increased from 24 to 32, their optimum RT increased from 111 to 113

°C and their surface cook values increased from 55.3 to 68.9 min. The surface cook

values of the CRT processes increased 13.6 min with an increase of z value from 24

to 32. For the VRT process, when z value increased from 24 to 32, its surface cook

value increased from 50.4 to 61.2 min. The surface cook values of the VRT

processes increased 10.8 min with an increase of z value from 24 to 32.

Table 11 showed that when the z value was higher, the surface cook values of the

VRT processes decreased more from 4.9 to 7.7 min and their surface cook values

decreased from 8.9 to 11.2 % compared with the surface cook values of the CRT

processes. From Table 11, it was found the process times of the C R T processes

were from 148.1 to 124.8 min but the process times of the VRT processes were from

123.8 to 108.4 min. The process times of the VRT processes decreased from 25.1

to 5.1 min. Then the process times of the VRT processes all were shorter than

those of the C R T processes. When z values decreased, the process times of the

VRT processes decreased more and when z values increased, the process times of

the VRT processes decreased less (Table 11).

Page 92: COMPARISON OF CONSTANT RETORT TEMPERATURE AND …

Table 11. Comparison of F S of MC for the optimum C R T and VRT

processes in terms of different z values ( F S , min)

z = z = z = z = z =

/ 24 C° 26 C° 28 C° 30 C° 32 C°

55.3 59.7 63.2 66.3 68.9

(CRT (CRT (CRT (CRT (CRT

F S for the best C R T process =111) =111) =113) =113) =113)

F S for the best VRT process 50.4 53.6 56.2 59.6 61.2

Decrease surface cook value

(min, F S , C R T - F S , V R T ) 4.9 6.1 7.0 6.7 7.7

Decrease surface cook value

(%) 8.9 10.2 11.1 10.1 11.2

148.1 148.1 124.8 124.8 124.8

(CRT (CRT (CRT (CRT (CRT

P t for the best CRT process =111) =111) =113) =113) =113)

P t for the best VRT process 123.8 123.0 109.8 108.4 119.7

Decrease P t(min,

Pt, C R T -P t , V R T ) 24.3 25.1 15.0 16.4 5.1

Decrease P t (%) 16.4 17.0 12.0 13.1 4.1

Page 93: COMPARISON OF CONSTANT RETORT TEMPERATURE AND …

81

4. 7. Process Time of the CRT and VRT processes A significant advantage of the VRT processes was the reduction in process time

while maintaining product surface quality similar to that of the C R T processes. MC

in 307 x 409 cans would typically be processed at 113 °C since this gave the best

surface quality for a CRT process when z value was 28 C°. When a CRT process of

113 °C was chosen, its sterilization value (F 0) of 5.99 min and F s, z=28c°of 63.2 min,

the process time (P t) of 124.8 min plus vent time was obtained. R C O program was

applied to find the optimum VRT process that reduced the process time (P t),

maintained the F 0 value very close to 6.0 min and maintained the F s no higher than

the F s of the best CRT process. 33 computer simulation experiments were used to

search for the best VRT process and the results were summarized in Table 12. By

using the same methods, the optimum VRT processes were determined when z was

24, 26, 30, 32 (Table 13, 14, 15, 16).

Page 94: COMPARISON OF CONSTANT RETORT TEMPERATURE AND …

82

Table 12. Optimization experiments for VRT processes to minimize P t with

F s < 63.2 min and 5.9 < F 0 < 6.1 min (z=28 C°), the best result

was the bold value (P t = 95.3 min)

Trial Ramp time RTi RT 2 ) R T 3 R T 4 Fo(min) Fs (min) Pt (min)

1 145.8 107.1 118.2 122.2 125.2 6.04 58.5 105.3

2 142.4 107.5 116.8 124.2 128.8 6.06 59.7 104.9

3 134.1 109.2 118.2 120.5 129.2 5.93 58.8 101.5

4 158.8 105.7 114.1 124.3 126.7 6.00 58.7 116.8

5 154.8 105.8 116.6 122.9 129.2 6.07 58.1 111.8

6 115.4 106.9 116.4 120.6 125.3 5.98 59.6 100.5

7 144.9 108.1 119.5 122.7 129.7 6.09 59.5 101.5

8 108.0 107.5 110.2 122.6 126.5 6.04 62.0 100.8

9 115.9 104.9 110.8 120.3 126.2 5.96 59.4 107.7

10 118.8 107.5 115.1 121.5 127.9 6.03 60.3 101.6

11 120.5 107.1 114.8 122.2 127.8 5.96 60.2 101.8

12 118.3 107.4 114.6 121.8 127.7 5.92 60.2 101.5

13 125.7 107.5 116.4 121.8 128.3 5.97 59.6 101.9

14 119.1 105.8 1.10.3 122.6 129.2 5.99 61.3 105.9

15 133.3 107.2 110.1 123.8 125.5 6.01 60.8 111.2

16 105.4 106.3 114.9 120.3 128.0 5.94 61.4 98.2

17 114.4 105.8 114.1 123.7 125.6 6.06 61.3 99.5

18 123.9 105 114.9 121.6 127.7 5.95 59.1 104.8

19 118.9 107.4 112.4 122.8 127.6 6.07 61.2 103.2

20 97.2 104.1 113.9 122.2 125.3 6.00 61.3 95.9

21 104.9 105.8 114.1 121.6 126.5 6.05 61.5 97.9

22 103.4 105.9 112.9 122.0 126.8 6.05 62.0 97.7

23 103.6 106.1 113.3 121.4 126.7 6.02 61.6 98.1

24 105.4 106.0 113.2 122.0 126.2 6.02 61.4 98.3

25 99.9 105.0 110.7 123.1 128.1 5.97 63.5 96.3

26 127.7 104.4 114.7 121.4 129.5 5.98 57.8 107.8

Page 95: COMPARISON OF CONSTANT RETORT TEMPERATURE AND …

27 103.5 104.4 110.4 120.5 125.9 6.07 60.3 102.7

28 129.0 106.4 110.3 123.8 128.2 6.00 61.1 109.2

29 98.1 105.3 112.6 122.3 127.5 6.02 63.3 95.2

30 98.8 105.5 113.1 122.1 127.3 5.99 62.9 95.3

31 99.3 105.6 112.4 122.3 127.8 6.06 63.4 95.7

32 105.5 104.5 111.3 121.2 129.5 5.98 62.4 100.3

33 111.5 107.5 112.7 121.5 129.6 6.03 61.9 100.9

Page 96: COMPARISON OF CONSTANT RETORT TEMPERATURE AND …

84

Table 13. Optimization experiments for VRT processes to minimize Pt

with F s < 55.3 min and 5.9 < F 0 < 6.1 min (z = 24 C°), the best

result was the bold value (Pt = 106.9 min)

Trial Ramp time RT^ R T 2 R T 3 R T 4 F 0 (min) Fs(min) Pt (min)

1 97.4 105.5 117.4 120.8 129.1 6.02 61.9 92.5

2 91.6 109.9 115.1 122.6 127.7 6.00 64.2 89.1

3 146.1 107.1 114.6 124.5 127 6.09 55.4 109.9

4 103.8 109.6 114.4 121.4 127.7 5.99 59.7 96.7

5 90.8 105.1 117.0 120.8 125.6 6.02 61.3 91.6

6 148.4 106.7 116.4 124.8 126.9 6.09 55.1 107.9

7 97.1 104.6 110.8 122.9 126.8 6.07 61.4 95.9

8 111.0 106.6 115.0 123.7 128.3 5.99 60.4 95.4

9 157.8 105 119.7 123.8 128.7 6.06 54.5 106.9

10 157.4 105.5 110.8 123.6 128.9 6.06 54.7 122.7

11 97.6 106.3 115.0 122.2 127.5 6.01 61.3 93.1

12 98.9 107.3 115.6 121.9 127.7 6.09 61.2 93.3

13 96.1 106.9 114.7 121.7 127.4 6.08 61.7 93.2

14 98:8 107.2 114.3 122.3 127.2 6.03 61.0 93.8

15 104.5 105.8 111.2 121.1 129.1 5.91 59.7 99.5

16 123.9 109.4 112.1 123.3 129.5 6.07 58.2 104.3

17 122.0 106.3 117.6 124.9 127.7 6.07 59.3 96.9

18 91.7 105.8 114.5 121.3 129.1 5.99 64.2 91.3

19 102.7 108.6 115.9 120.6 125.1 5.92 57.9 95.8

20 93.8 106.5 115.8 121.5 127.8 5.99 62.4 91.5

21 93.5 106.6 115.7 121.4 127.8 5.98 62.3 91.6

22 93.5 106.8 115.3 121.7 127.4 5.99 62.2 91.6

23 94.9 106.9 115.4 121.7 128.1 5.99 62.4 91.8

24 109.8 107.7 112.5 123.6 126.1 6.00 59.2 98.3

25 115.7 109.8 113.1 123.3 127.1 6.03 58.8 99.6

26 98.2 105.6 114.9 125.0 125.9 6.07 63.0 91.3

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85

27 93.8 106.9 115.1 122.4 127.6 5.95 62.7 90.9

28 93.7 106.9 115.2 122.4 127.6 5.92 62.6 90.8

29 93.7 107.0 115.1 122.4 127.6 5.93 62.6 90.8

30 94.1 107.1 115.4 122.5 127.3 5.95 62.4 90.8

31 109.5 109.6 117.7 124.0 125.4 5.92 60.6 91.8

32 93.4 107.6 115.2 122.5 127.6 6.02 63.2 90.5

33 94.3 107.3 115.1 123.0 127.2 6.03 62.9 90.7

34 94.3 107.3 115.1 123.0 127.2 6.04 62.9 90.8

35 94.3 107.3 115.1 123.0 127.2 6.04 62.9 90.8

36 98.3 105.5 111.3 121.0 125.0 5.96 58.0 98.5

37 93.0 109.8 114.4 125.0 128.4 5.95 66.3 87.5

38 93.3 108.4 115.0 123.2 127.6 5.96 63.6 89.6

39 93.3 108.4 115.0 123.2 127.6 5.96 63.6 89.6

40 93.3 108.4 115.0 123.3 127.6 5.96 63.6 89.6

41 93.5 108.3 115.0 123.3 127.5 5.95 63.5 89.7

Page 98: COMPARISON OF CONSTANT RETORT TEMPERATURE AND …

86

Table 14. Optimization experiments for VRT processes to minimize P t

with F s < 59.7 min and 5.9 < F 0 < 6.1 min (z = 26 C°), the

result was the bold value (P t = 97.5 min)

Trial Ramp time RTi R T 2 R T 3 R T 4 F 0 (min) F s (min) Pt (min)

1 147.6 108.4 114.0 121.0 127.6 6.02 56.0 114.0

2 129.2 104.6 111.1 123.4 128.6 6.01 58.5 109.5

3 95.9 106.9 119.7 124.9 125.6 6.09 66.0 86.5

4 126.0 109.1 11.1 124.2 126.9 5.92 59.8 105.2

5 142.9 108.5 117.0 122.6 125.7 6.01 56.9 105.1

6 92.1 107.2 119.5 120.9 129.4 6.00 65.5 88.2

7 137.2 104.9 119.3 121.1 127.0 5.93 56.0 103.0

8 90.6 105.9 112.4 123.1 129.2 5.94 66.3 90.2

9 141.7 106.0 113.1 120.9 129.0 5.98 55.8 114.8

10 147.2 105.8 113.6 121.3 126.7 6.01 55.5 116

11 111.7 106.7 117.6 122.5 127.4 5.97 60.1 95.4

12 108.4 106.8 116.4 122.8 127.6 6.05 60.9 95.3

13 109.5 107.5 115.9 123.1 127.4 6.05 61.0 95.6

14 118.8 107.3 117.3 122.7 126.9 5.94 59.0 97.5

15 100.8 106.3 113.5 124.7 127.1 6.05 63.4 93.1

16 90.7 108.2 118.3 123.7 127.4 6.01 66.3 86.2

17 120.2 105.3 118.5 121.1 126.2 6.01 57.8 99.3

18 128.0 107.9 113.4 122.4 128.6 5.99 58.1 106.0

19 99.0 104.0 117.4 123.1 125.6 5.95 61.4 93.0

20 93.7 106.5 117.5 123.1 127.4 5.93 64.2 88.7

21 94.0 106.9 116.7 123.5 127.7 6.05 64.9 89.0

22 95.7 106.5 117.7 123.5 127.0 5.93 63.9 88.9

23 95.4 106.3 116.3 123.9 127.0 6.08 64.4 89.8

24 102.9 108.5 112.4 121.2 126.0 5.94 60.1 98.0

25 96.3 110.0 116.4 121.4 125.5 5.93 62.0 91.6

26 91.2 109.5 114.2 124.2 129.9 6.03 67.8 87.5

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87

27 92.7 107.7 117.8 123.4 127.9 5.92 65.2 87.4

28 93.1 107.7 117.9 123.4 127.8 6.00 65.3 87.6

29 93.4 107.5 117.5 123.9 127.5 6.08 65.6 87.8

30 93.6 107.1 118.5 123.2 127.4 5.96 64.8 87.7

31 91.2 105.4 113.6 123.7 126.6 5.97 64.0 90.4

32 99.4 105.4 116.6 121.0 125.4 6.02 60.4 94.9

33 92.1 109.1 118.3 124.0 125.2 6.00 65.2 86.5

34 92.5 108.3 117.7 124.0 127.2 6.01 65.8 86.9

35 92.9 107.9 118.4 123.9 126.8 5.92 65.3 86.6

36 92.6 108.3 117.7 124.0 127.2 6.01 65.8 86.9

37 92.0 108.4 117.3 123.7 127.6 5.99 65.7 87.1

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88

Table 15. Optimization experiments for VRT processes to minimize P t

with F s < 66.3 min and 5.9 < F 0 < 6.1 min (z = 30 C°), the

result was the bold value (P t = 88.2 min)

Trial Ramp time RTi R T 2 R T 3 R T 4 F 0 (min) Fs(min) Pt (min)

1 146.5 105.4 118.9 120.1 127.4 6.05 59.5 107

2 130.5 107.5 116 121.1 129.1 5.96 60.9 104.8

3 127.1 109.8 114.7 123.1 127.7 6.06 62.9 102.4

4 118.8 106.1 116.0 124.4 128.1 6.06 63.3 98.1

5 143.5 105.4 111.9 123.2 125.6 6.02 61.5 115.2

6 139.5 104.2 114.4 121.9 128.2 5.95 58.7 112.7

7 100.1 107.8 114.2 124.5 129.2 6.00 66.2 91.5

8 129.6 108.9 117.3 121.6 128.6 5.95 61.3 101.1

9 92.7 109.0 118.0 121.5 125.4 6.00 65.3 89.6

10 100.6 108.8 118.6 124.2 125.1 6.02 65.8 88.6

11 108.4 108.1 116.8 123.2 127.3 6.03 64.0 93.9

12 107.9 108.3 116.3 123.5 127.1 6.01 64.1 93.8

13 110.0 108.9 116.6 123 127.2 4.92 63.6 94.3

14 113.7 108.5 116.9 123 127.0 5.93 63.1 95.4

15 98.3 107.4 112.6 124.7 127.1 6.00 65.6 92.3

16 98.1 107.1 114.8 122.2 127.0 6.03 64.5 93.3

17 90.7 109.3 118.1 123.7 127.4 6.03 67.7 86.0

18 112.8 106.4 118.4 121.2 126.2 5.91 61.9 96.4

19 111.4 109.3 113.3 124.0 126.3 6.03 64.1 97.3

20 96.9 105.1 117.1 123.1 125.6 5.96 64.3 91.1

21 96.2 108.0 117.2 123.4 126.5 6.01 65.6 89.4

22 95.8 107.9 116.9 123.5 126.1 6.01 65.5 89.5

23 96.5 108.4 116.3 123.7 126.9 5.98 65.7 89.5

24 97.3 107.7 116.1 124 126.9 6.03 65.7 90.0

25 98.9 110.0 115.1 123.8 127.2 6.01 65.9 90.7

26 95.6 106.2 118.6 121.5 126.7 6.05 65.0 90.7

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89

27 95.5 107.6 117.0 123.2 129.6 6.03 66.6 94.2

28 90.4 107.4 115.8 121.6 127.9 6.09 66.6 89.9

29 96.0 108.5 117.4 123.7 126.4 5.99 65.9 88.6

30 95.3 108.7 117.7 123.3 126.3 5.91 65.7 88.3

31 95.2 108.6 117.8 123.3 126.1 5.96 65.7 88.5

32 95.3 108.6 117.6 123.3 126.2 5.98 65.8 88.6

33 90.7 106.0 119.9 124.3 129.1 6.03 68.7 88.9

34 98.1 107.1 113.4 121.2 129.2 6.06 65.4 94.8

35 94.5 108.7 117.7 123.5 126.5 6.06 66.4 88.1

36 95.4 108.8 117.9 123.6 126.2 6.02 66.2 88.2

37 95.6 108.7 117.9 123.6 126.3 6.00 66.1 88.2

38 95.6 108.8 117.9 123.7 126.3 6.04 66.3 88.1

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90

Table 16. Optimization experiments for VRT processes to minimize P t

with F s < 68.9 min and 5.9 < F 0 < 6.1 min (z = 32 C°), the best

result was the bold value (P t = 87.5 min)

Trial Ramp time RTi R T 2 R T 3 R T 4 F 0 (min) F s (min) Pt (min)

1 140.4 106.0 116.6 120.5 128.0 6.07 62.1 109.1

2 156.1 108.9 118.6 122.6 128.9 6.01 62.8 105.6

3 90.4 104.7 112.6 125.0 128.9 6.00 68.4 89.1

4 110.3 109.8 115.2 124.2 128.8 5.94 66.1 94.4

5 139.2 108.0 112.8 123.9 129.2 6.07 64.7 110.1

6 141.1 105.9 110.1 125.0 126.5 5.97 64.8 114.0

7 153.8 106.2 115.4 121.6 127.1 5.92 62.0 114.3

8 97.1 108.5 119.7 123.0 127.8 5.95 67.0 87.5

9 90.1 105.8 119.4 120.1 125.7 5.93 66.1 90.0

10 129.7 106.4 114.8 123.9 127.0 6.03 63.7 104.0

11 103.5 107.0 116.3 123.3 127.6 5.95 65.3 92.8

12 108.8 107.6 117.1 123.0 128.0 6.02 65.1 94.1

13 112.7 106.9 117.0 122.9 127.7 6.05 64.5 96.1

14 116.7 107.7 116.2 123.8 128.3 5.95 64.5 96.8

15 106.2 105.0 117.2 122.3 125.3 5.93 63.8 95.2

16 119.6 109.7 119.2 124.1 125.2 6.03 65.2 93.0

17 108.8 106.9 115.1 121.1 125.6 5.93 63.5 98.7

18 122.7 107.0 117.9 121.4 129.2 6.06 63.3 99.8

19 116.1 107.7 114.2 120.3 128.4 6.02 64.0 102.9

20 100.2 107.2 117.4 123.1 127.1 6.01 65.9 90.9

21 98.0 106.7 117.0 122.9 127.6 6.06 66.2 90.9

22 101.2 107.3 117.6 123.1 127.1 5.94 65.6 91.0

23 103.9 107.5 117.0 123.7 127.5 6.01 65.8 91.9

24 102.2 109.3 115.1 122.6 126.4 6.04 65.6 93.7

25 97.2 107.9 114.5 122.1 128.4 6.04 66.4 92.7

26 102.1 108.1 117.7 124.9 125.4 5.97 66.4 89.3

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27 91.9 107.3 115.2 123.5 129.3 5.98 67.8 88.6

28 94.3 106.9 116.9 123.3 127.4 5.93 66.6 89.1

29 95.9 107.1 116.4 123.9 127.8 6.08 67.1 89.5

30 93.5 106.6 116.8 122.9 127.9 5.98 66.8 89.3

31 95.8 107.3 117.8 122.9 127.2 5.92 66.3 89.2

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Table 17 showed the optimum VRT processes, considering the minimum process

time for each surface z value. Table 17 showed that when the surface z values

increased, the minimum process time of its optimum VRT process decreased. From

table 17, the process times were changed with the different retort temperatures and

different surface z values.

Figure 18 showed the optimum VRT processes to yield the minimum process times

at different surface z values.

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Table 17. Comparison of the optimum VRT processes with minimum P t

and F s in term of different z values

z value Ramp time RTi R T 2 R T 3 R T 4 F 0 (min) F s (min) Pt (min)

24 157.8 105.0 119.7 123.8 128.7 6.06 54.5 106.9

26 118.8 107.3 117.3 122.7 126.9 5.94 59.0 97.5

28 98.8 105.5 113.1 122.1 127.3 5.99 62.9 95.3

30 95.6 108.7 117.9 123.6 126.3 6.00 66.1 88.2

32 97.1 108.5 119.7 123.0 127.8 5.95 67.0 87.5

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Figure 18. The optimum VRT processes to yield the minimum P t of MC

in terms of different z values.

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Table 18 compared the process times of MC for the best C R T process and the best

VRT process at different surface z values. From Table 18, the surface z value

increased, their process times (P t) of the CRT and VRT processes all decreased.

For the C R T processes, their optimum retort temperatures increased from 111 to 113

°C and their process times decreased from 148.1 to 124.8 min with an increase of z

values from 24 to 32. For the VRT processes, their process times decreased from

106.9 to 87.5 min with an increase of z values from 24 to 32.

From Table 18, it was found that the process times of the VRT processes were

shorter than those of the CRT processes. When the z value was higher, the process

times of the VRT processes decreased more from 29.5 to 50.6 min and their process

times decreased from 23.6 to 34.2 % compared with those of the C R T processes.

From Table 18, the surface cook values of the CRT processes were from 55.3 to 68.9

min but the surface cook values of the VRT processes were from 54.5 to 67.0 min.

The surface cook values of the VRT processes also decreased from 0.2 to 1.9 min

with the different z values. Then the surface cook values of the VRT processes all

were lower than those of the CRT processes.

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Table 1 8 . Comparison of P t for the optimum CRT and VRT processes

in terms of different z values, (P t, min)

z = z = z = z = z =

/ 2 4 C° 2 6 C° 2 8 C° 3 0 C° 3 2 C°

148 .1 148 .1 1 2 4 . 8 1 2 4 . 8 1 2 4 . 8

(CRT (CRT (CRT (CRT (CRT

Ptfor the best C R T process = 1 1 1 ) = 1 1 1 ) = 1 1 3 ) = 1 1 3 ) = 1 1 3 )

Pt for the best VRT process 106.9 97.5 95.3 88.2 87.5

Decrease process time (min,

Pt, CRT-Pt, VRT) 4 1 . 2 5 0 . 6 2 9 . 5 3 6 . 6 3 7 . 3

Decrease process time (%) 2 7 . 8 3 4 . 2 2 3 . 6 2 9 . 3 2 9 . 9

5 5 . 3 5 9 . 7 6 3 . 2 6 6 . 3 6 8 . 9

(CRT (CRT (CRT (CRT (CRT

F S for the best C R T process = 1 1 1 ) = 1 1 1 ) = 1 1 3 ) = 1 1 3 ) = 1 1 3 )

F S for the best VRT process 5 4 . 5 5 9 . 0 6 2 . 9 66 .1 6 7 . 0

Decrease F S (min,

F S , CRT-F S , VRT) 0 .8 0 .7 0 .3 0 . 2 1.9

Decrease F S (%) 1.5 1.2 0 .5 0 . 3 2 . 8

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4. 8. Compare the results of CRT and VRT processes for MC When the aim was to find the minimum surface cook value for the C R T process and

VRT process. The optimum CRT process of RT of 113 °C was chosen and its

surface cook value was 63.2 minute. Its process time was 124.8 minutes. On the

other hand, its minimum surface cook value of the optimum VRT process was 56.2

minutes and its process time was 109.8 minutes. Thus, the surface cook value of

the optimum VRT process decreased about 11.1% than that of the optimum CRT

process. In the mean time, the process time of the optimum VRT process was

shorter than that of the optimum C R T process. The process time of the optimum

CRT process was 124.8 min but the process time of the optimum VRT process was

109.8 min. The process time of the optimum VRT process decreased 15 min than

that of the optimum CRT process.

Figure 19 compared the changes of the retort temperatures and can center

temperatures for the optimum CRT and VRT processes.

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140.00 i

0.00 -I 1 1 1

0 45 90 135 180

Heating time (min)

Figure 19. The optimum CRT and VRT processes of MC for the minimum

surface cook values. RT and T c indicated retort temperature

and can center temperature for the respective C R T and

VRT computer simulations.

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When the aim was to find the minimum process time, the optimum C R T process of

RT of 113 °C was chosen for the z value of 28 C°, its process time was 124.8 min but

the minimum process time of the optimum VRT process was 95.3 minutes. The

process time of the optimum VRT process decreased about 23.6% than that of the

CRT process with the same sterilization value of 6 minutes. In the mean time, its

surface cook value of MC for the VRT process was smaller than that of the CRT

process. The surface cook value of the optimum CRT process was 63.2 min but the

surface cook value of the optimum VRT process was 62.9 min. The surface cook

value of the optimum VRT process decreased 0.3 min than that of the optimum CRT

process.

Figure 20 compared the changes of the retort temperatures and can center

temperatures of the optimum C R T and VRT processes.

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140 i

0 -I 1 1 1 1

0 45 90 135 180

Heating time (min)

Figure 20. The optimum CRT and VRT processes of MC for the

minimum process time. RT and Tc indicated retort

temperature and can center temperature for the respective

CRT and VRT computer simulations.

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Table 19 compared the results of surface cook values and process times with the

optimum C R T and VRT processes for MC. In terms of the surface cook value of

MC, the optimum VRT process decreased surface cook value and improved surface

quality compared with the optimum CRT process. In term of the process time of MC

for the thermal processing, the optimum VRT process decreased process time than

that of the optimum CRT process. From this table, it was found that different VRT

processes had different effects on the surface quality and process time.

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Table 19. The optimum C R T and VRT processes of MC (z=28 C°) in

terms of the minimum surface cook value and the minimum

process time

Thermal processes CRT=113°C Optimum VRT

process 1

Optimum VRT

Process 2

Process time

P t (min)

124.8 109.8 95.3

Save the process time

(Pt, min)

/ 15.0 29.5

Save the process time

(%)

/ 12.0 23.6

Surface cook value (F s,

min)

63.2 56.2 62.9

Decrease the surface

cook value (F s, min)

/ 7.0 0.3

Decrease the surface

cook value (%)

/ 11.1 0.5

Optimum VRT process 1: VRT process for the minimum surface cook value, the

process time was smaller than that of CRT process.

Optimum VRT process 2: VRT process for the minimum process time, the surface

cook value was smaller than that of CRT process.

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4. 9. Confirmation of Optimum CRT and VRT Processes in an Actual Steam

Retort

The optimum CRT process of RT of 113 °C was chosen because the minimum

surface cook value for MC was obtained. The optimum VRT processes with the

minimum surface cook value or minimum process time were chosen through the

Retort Program and R C O program.

Retort experiments in an actual steam retort were done to confirm the results of the

computer simulation.

A. Comparison of Sterilization Value (F0) Calculation of the sterilization value (F 0) was done from actual retort experiments

based on the results of computer simulations. Table 20 showed that the sterilization

values from the retort experiment were slightly higher than those of the predicted

results from the computer simulation. In the actual retort experiments, some factors

such as initial product temperature, cooling water temperature, and retort

temperature were less precisely controlled than in the computer simulation. The

sterilization values from the computer simulation and retort experiments were

different. But the results were generally within one standard deviation of empirical

values.

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Table 20. Sterilization values (F 0) for MC with three process runs

for each treatment and calculations done by using

improved general method

Process Number of individual

.cans tested (retort

experiments)

F 0 , min, mean

(standard deviation)

F 0 , min,

Computer

Simulation

CRT=113°C 9 6.3 ±0.6 6.0 ±0.1

CRT=121 °C 8 6.5 ±0 .9 6.0 ±0.1

Optimum VRT 8 6.2 ±0 .3 6.0 ±0.1

process 1

Optimum VRT 9 6.3 ±0 .5 6.0 ±0.1

process 2

Optimum VRT process 1: VRT process for the minimum surface cook value, the

process time was smaller than that of CRT process.

Optimum VRT process 2: VRT process for the minimum process time, the surface

cook value was smaller than that of CRT process.

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B. Comparison of the Surface Color Parameters In this project, a surface z value of 28 C° was found for surface color change of MC.

The optimum CRT for a z value of 28 C° was 113 °C and the optimum VRT

processes were determined by the Retort program and the R C O program. Next it

was necessary to confirm these results in an actual retort. Following the retort

experiments, the surface color of M C was measured to confirm the results of the

computer simulation. Table 21 shows the surface color parameters L, a and b

values from different actual retort processes. For the C R T process, 113 °C was

chosen as the optimum RT. The surface color L, a and b values of the MC

decreased and the surface of MC appeared dark. For the VRT process, the surface

color L, a and b values decreased less than those of the C R T process and the

surface of MC appeared less dark. From Table 21, it can be seen that the surface

color of MC for the VRT processes was significantly better than that of the CRT

processes. That is to say the VRT processes improved the surface quality

compared to the CRT processes.

In order to quantitatively evaluate whether there was a consistent difference in the

surface color L, a and b values by the different thermal processes, a paired t-test was

performed on the means comparing between L (CRT=113) and L (VRT 1), between L

(CRT=113) and L (VRT 2), between L (CRT=13) and L (CRT=121), and between L

(VRT1) and L (VRT 2). Also a paired t-test was performed to compare between the

a and b values with different thermal processes (table 21).

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Table 21. The surface color parameters of MC in terms of

the different CRT and VRT processes (confirmation

experiment results and t-test)

L , a and b value (mean 1 ± SD)

L , a and b value (mean 2 ± SD)

p values Significant or not

L C RT=113 = 59.48 ±0.18 LCRT=121= 58.47 ±0.10 p<0.05 Significant L C R T = I I 3 = 59.48 ±0.18 L VRT 1= 60.78 ±0.24 p<0.05 Significant L C R T = I I 3 = 59.48 ±0.18 L V R T 2 =60 .27 ±0.22 p<0.05 Significant L VRT 1=60.78 ±0.24 LVRT2=60.27 ±0.22 p<0.05 Significant a C R T = n 3 = 8.45±0.21 a CRT=I2I= 8.29 ± 0.28 p>0.05 Not significant a C R T = n 3 = 8.45±0.21 a V R T i = 8.61 ±0.24 p>0.05 Not significant a CRT=II3 = 8.45 ± 0.21 a VRT 2=8.53 ± 0.19 p>0.05 Not significant a V R T I = 8.61 ±0.24 a VRT 2=8.53 ±0.19 p>0.05 Not significant b C RT=i i3 = 23.31 ±0.13 b CRT=I2I= 23.00 ± 0.14 p<0.05 Significant b C R T = i i 3 = 23.31 ±0.13 b VRT 1=23.94 ±0.21 p<0.05 Significant b C R T = i i 3 = 23.31 ±0.13 b VRT2=23.59 ±0.20 p<0.05 Significant b VRT 1=23.94 ±0.21 b VRT 2=23.59 ±0.20 p<0.05 Significant

V R T 1: the optimum V R T process 1 for the minimum surface cook value,

the process time is smaller than that of C R T process.

V R T 2: the Optimum V R T process 2 for the minimum process time,

the surface cook value is smaller than that of C R T process.

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C. Confirmation of the Surface Cook Values of MC Table 22 compared the surface cook values of the C R T and VRT processes with the

retort experiments and the computer simulations. From this table, it was found that

the surface cook values of the CRT and VRT processes with the retort experiments

were slightly higher than those of the computer simulations. In the actual retort

experiments, some factors such as initial product temperature, cooling water

temperature, and retort temperature were less precisely controlled than in computer

simulation. Here the effect of the thermal treatment must be integrated for every

point in the container. Thus, actual tests or simulation work must be carried out to

determine the effect of a processing temperature change and the effect may vary

depending on the container tested.

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Table 22. Comparison of surface cook values (F s) of MC in terms of

computer simulation and retort experiments (three process

runs for 8-10 cans, based on the sterilization value F 0 of 6.0 min

Retort experiments

(average values of 8-10

cans)

Computer

simulations

F s (min, CRT=113°C) 66.4 ±3.4 63.2

F s (min, CRT=121 °C) 80.9 ±2.7 77.1

F s (min, Optimum VRT

process 1) 57.7 ± 1.5 56.2

F s (min, Optimum VRT

process 2) 64.0 ±2.1 62.9

Optimum VRT process 1: VRT process for the minimum surface cook value, the

process time is smaller than that of CRT process.

Optimum VRT process 2: VRT process for the minimum process time, the surface

cook value is smaller than that of CRT process.

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C H A P T E R V

C O N C L U S I O N S

Based on the experiment results, the surface color changes of MC were related to

the heating temperature and heating time. If the heating temperature or heating time

was increasing, the surface color of MC became more dark and the surface color

parameter L, a, b values all changed. Lightness (L value) of MC was considered the

most important factor to affect human color judgment for the MC in this study. The

surface color parameter L value change of MC tested was described by first order

reaction kinetics. The surface z value of MC was 28 C°.

R C O program, when combined with Retort Program, provided a convenient, efficient

method for choosing the optimum VRT thermal process. Optimum VRT process was

proved to reduce surface cook value of MC and reduce the surface color change,

while maintaining the sterilization value (F 0) of the total process. The optimum VRT

processes reduced surface cook value by 4.9-7.7 minutes, depending on different z

values. This corresponded to a reduction of 8.9-11.2% compared with the optimum

CRT processes and also process time of the optimum VRT processes was shortened

compared to the C R T processes for MC. In terms of the surface color change of MC,

the optimum VRT process improved surface quality (MC with less darkening of color

(higher L, a, b values) compared with the optimum C R T process.

From the experimental results, the optimum VRT processes reduced process time by

29.5 to 50.6 minutes depending on the different surface z values. This

corresponded to a reduction of 23.6 to 34.2 % compared with the best CRT process,

depending on the different z values. The results of this study demonstrated that

process times of the VRT processes for MC were shortened and also the surface

cook value was slightly decreased compared to the C R T processes for MC.

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Actual steam retort experiments confirmed that the optimum VRT process was

indeed superior to the optimum C R T process for MC. From this study, the

conclusion was that the optimum VRT processes were better than the optimum CRT

processes for the conduction-heated canned foods.

In the near future, this study will do more research. Other different conditions, such

as different temperature, different can size or different foods or products will be

considered for the surface color change characteristics. Other factors to affect on

the surface color changes of canned foods will be considered. This study only

considered the L value changes of surface color of MC, a value and b value changes

or combination of L, a and b value changes will be considered for researching the

surface z value. Other quality characteristics, such as thiamine retention, flavor

retention and so on, will be compared by using the CRT and VRT processes.

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I l l

APPENDIX A: Terminology and Abbreviations in Thermal Processing

a : thermal diffusivity. a = thermal Conductivity/(specific heat * density), is

inversely proportional to fh where the proportionality constant is related to the

container geometry (m2/s).

a w : water activity.

ANOVA: Analysis of variance.

b: the half-height of the can (mm).

cold spot: the slowest heating point in a can of food or in a retort.

come-up time: the time between the start of heating and the time when the retort

reaches processing temperature.

C: the measured color scale value of the product.

C 0 : the measured color scale value of the product at the beginning.

Commercial sterility: free of all viable microorganisms of public health significance

and of all other organisms capable of growth at normal storage temperatures. Some

thermophilic bacteria may still survive in commercially sterile products but these grow

at temperatures only above 100 °F and are not of public health significance.

CRT: constant retort temperature.

D value: the decimal reduction time, usually in minutes. This is the time at a lethal

temperature, which will destroy 90% of the population of the target organisms. Color

D value is defined as the time at a specified temperature required for a 90% change

in a numerical color value.

fc: Cooling rate index. The index of the cooling curve, such as (log (T c-T w) versus

time) and is numerically equal to the negative reciprocal of the slope.

fh: Heating rate index. The minutes required for the heat penetration curve (log (T r-

T c) versus time) to traverse one-log cycle in temperature difference. It is numerically

equal to the negative reciprocal of the slope of the semi-log plot.

F 0 : Process lethality or sterilization value. The equivalent, in terms of minutes at

250 °F (121.1 °C), of all lethal heat received by the cold spot in a container. This

lethality is calculated with a z value of 18 F° (10 C°). F 0 = ZLAt.

F s : The accumulated surface cook value of MC, F s = ZQAt.

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g value: The unaccomplished temperature, the temperature difference at given time

between the cold spot temperature of a container and retort temperature, g=RT-T c.

Hunter a: The HunterLab colorimetric scale, the a scale measures the redness (+a

value) or greenness (- a value) of the color of the product.

Hunter b: The HunterlLab colorimetric scale, the b scale measures the yellowness

(+ b value) or blueness (-b value) of the color of the product.

Hunter L: The HunterLab colorimetric scale, the L scale measures the lightness

(L=100) or darkness (L=0) of the color of the product.

k: the reaction rate constant for base e (natural logarithms; death rate constant in

the Arrhenius model, k=2.303/D).

K: thermal conductivity (W/m °K)

L: Lethal rate expressed as minutes at the reference temperature per minute at the

center temperature of the container, L = 10 T c " T r e f / z .

low acid food: food with a natural pH higher than 4.5.

MC: Macaroni and cheese.

MR: Maillard reaction.

MRPs : Maillard reaction products.

P t : Operator's process time. The time from when the retort reaches processing

temperature until the steam is turned off and cooling started.

Q: surface cook rate of the product surface, Q = 10 T s - T r e f / Z .

r: the radius of the can (mm).

R C O : random centroid optimization program (Dou et al., 1993; Nakai et al., 1998)

Retort Program: A finite difference computer model for conduction with a cylindrical

container (Durance et al. 1997).

Rho or p value: Fraction of sterilization value, which occurs up to the time the

steam is turn off.

RT or T r: retort temperature.

Saturated steam: 100% water vapor at a temperature equal to the boiling point of

water at the prevailing pressure.

t: the heating time (min).

tv: the ramp time of VRT process (min).

T c : the slowest heating point product temperature of the container,

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113

Tf: the center-point temperature of the can at time of steam-off.

T\\ Initial retort temperature, Tj = 22.5 °C,

T p : Initial product temperature, the temperature of the can contents when it enters

the retort, T p= 20 °C,

T ref: Reference temperature for microorganisms or reference temperature for

surface color of product, T r e f = 121.1 °C,

T s : the surface temperature of canned foods,

T w : cooling water temperature, T w = 10 °C,

Vent time: The time at the beginning of a retort run necessary for complete removal

of air from a retort, meeting both a time and a retort temperature requirement.

VRT: variable retort temperature.

X i : a factor for the R C O program.

z value: The temperature difference required for a thermal death time or D value to

change by one order of magnitude. It is a measure of the sensitivity of the relevant

reaction or event to change in temperature.

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A P P E N D I X B : Processing Conditions for Computer Simulation Model

C R T process:

Product: MC (macaroni and cheese)

Thermal diffusivity, a = 3.625 x 10"7 m 2/s

Thermal conductivity, =19.00 (W/m °K)

Can dimension: Diameter = 82 mm, Height = 111.6 mm

Lethality: Sterilization value, F 0 = 6.0 minutes,

z value of microbial thermal death, z m = 10 C°,

z value of thermal darkening of the surface of MC, z s = 28 C°

Heat penetration parameters: fh = 58 minutes, fc = 77.3 minutes

Operation Conditions,

Initial retort temperature, Tj = 22.5 °C

Initial product temperature, T p= 20 °C,

Form of cans, cylindrical cans (307 x 409), normally 3 7/16 inch diameter and 4 9/16

inch height.

Cooling water temperature, T w = 10 °C,

Reference temperature for microorganisms, T r ef = 121.1 °C,

Reference temperature for surface color of product, T r e T = 121.1 °C,

VRT process:

Product: MC (macaroni and cheese)

Thermal diffusivity, a = 3.625 x 10"7 m 2/s

Thermal conductivity, =19.00 (W/m °K)

Can dimension: Diameter = 82 mm, Height = 111.6 mm

Lethality: Sterilization value, F 0 = 6.0 ± 0.1 minutes,

Z m = 1 0 C ° ,

z s = 28 C°,

Heat penetration parameters: fh = 58 minutes, fc = 77.3 minutes

Operation Conditions,

Initial retort temperature, Ti = 22.5 °C,

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115

Initial product temperature, T p= 20 °C,

Cooling water temperature, T w = 10 °C,

Form of cans, cylindrical cans (307 x 409),

Time-temperature profile limits, for VRT, 104 -130 °C,

Ramp time for V R T processes, tv = 90-160 min,

Reference temperature for microorganisms, T r ef =121.1 °C,

Reference temperature for surface color of product, T r ef = 121.1 °C.

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