MATHEMATICAL MODELING OF PROCESSES

IN FOOD INDUSTRIES

(Modellistica matematica dei processi

dell’industria alimentare)

Prof. Michele MICCIOProf. Gianpiero PATARO

a.a. 2012-13

Course Syllabus

Mo

delin

g

General Classification of models

2

Course Syllabus

Math

ematical M

od

eling

General Classification of mathematical models

3

Course Syllabus

Math

ematical M

od

eling

Solution of mathematical models

4

Numerical Methods for parabolic PDEs

•Finite differences•Finite elements•Collocation Methods

Course Syllabus

Mathematical modeling and optimization

•Intro to Optimization

•General definitions

Linear Programming (LP)

•theory

•The graphical method

•The simplex algoritm

Op

timization

5

Objectives of the Course

To provide the basic knowledge, methods and software instruments in order to:

1)discriminate the complexity of the systems of process engineering and meet the possibilities of abstract representation;

2)classify the models, particularly the ones related to processes;

3)handle the Matlab® software to develop or obtain some classes of models;

4)numerically solve the parabolic partial differential equations;

5)understand and solve Linear Programming problems.

6

Recommended readings and

Study materials

Textbook

Himmelblau D.M. e Bischoff K.B., “Process Analysis and Simulation”, John Wiley & Sons Inc., 1967 (Collocazione: 660.281 HIM 1)

Consultation book

Snieder R., “A Guided Tour of Mathematical Methods For the Physical Sciences”, 2nd Edition, Cambridge University Press, ISBN-13: 9780521834926, ISBN-10: 0521834929, 2004 (Collocazione: 515 SNI - Inv: 19569 Ing. Bcode: 00118373 )

Other

•Teaching aids provided by the lecturer

•Examination texts, lecture slides and other learning material can be retrieved from the web: http://comet.eng.unipr.it/~miccio

7

Assessment method

software-based test

½ score

oral colloquium

½ score

8

EXTRA

9

Fluidized bed dryeran example

10

Proprietà fluidodinamiche dei letti fluidi.

Comportamento simile ad un liquido

Tratto da Kunii and Levenspiel, Fluidization Engineering (1991)

11

Fenomenologia del letto fluido “bollente”

12

ERGUN s/w for fluidized bed design

13

http://www.utc.fr/ergun/

PARABOLIC PDE SOLVER

A project by

Ugo AVAGLIANO and Caterina SOMMA