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    U s e r G u i d e

    P O L Y M E R P R O C E S S M O D E L I N G

    3

    AspenTec

    Vers

    ion

    With Aspen Plus 107

    V O L U M E 1

    Polymers Plus7

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    COP YRI G H T 19811999 Aspen Techn ology, In c.ALL RIG HTS RE SE RVED

    The flowsheet graphics and plot components of Aspen Plus were developed by MY-Tech, Inc.

    Aspen Aerotran Aspen Pinch ADVENT Aspen B -J AC Aspen Custom Modeler AspenDynamics Aspen H etra n Aspen P lus , AspenTech , B -J AC B ioP rocess Simulat or (B P S) ,DynaPlus , ModelManager , Plantelligence , the P lan telligence logo , Polymers Plus , PropertiesP lus , S P E E D U P , an d the a spen leaf logo ar e either registered tra demarks, or tra demarks of AspenTechnology, I nc., in th e U nited S ta tes a nd/or other countries.

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    1989-1997 la n C omputer G roup, Inc.All right s reserved

    U se of Aspen P lus a nd This Ma nua l

    This manual is intended as a guide to using Aspen Plus process modeling software. This documentation containsAspenTech proprieta ry a nd confidentia l informa tion a nd ma y not be disclosed, used, or copied wit hout t he priorconsent of AspenTech or a s set fort h in t he a pplica ble license ag reement. U sers a re solely r esponsible for the

    proper use of Aspen Plus and the application of the results obtained.

    Although AspenTech ha s tested t he softw ar e and review ed the documenta tion, the sole wa rra nty for Aspen P lusmay be found in the applicable license agreement between AspenTech and the user. ASPENTECH MAKES NOWARRANTY OR REPRESENTATION, EITHER EXPRESS OR IMPLIED, WITH RESPECT TO THIS

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    PREFACE

    ABOUT THIS USER GUIDE

    This U ser G uide documents features unique t o Polymers P lus. It a ssumes priorknowledge of basic Aspen P lus capa bilities or user a ccess to the Aspen P lusdocumenta tion set. If you a re using P olymers P lus w ith Aspen Cust om Modeler,

    plea se refer to the Aspen Cust om Modeler document a tion set.

    The first cha pter in th e User G uide provides an in tr oduction to the use ofmodeling for polymer processes. S ubsequent chapters discuss specific PolymersP lus ca pabilities. The fea tur es covered include methodologies for cat egorizingchemica l components a nd for tra cking th eir properties, physica l properties an dphase equilibria, polymerization kinetic models, and steady-state flowsheeting. Avolume devoted to simulat ion examples and steady-sta te a nd dyna mica pplica tions is provided as a complement to this U ser G uide. See th e PolymersPlu s Examples& Appl i cati on Case Book. These exam ples a re designed t o giveyou an overall understa nding of the steps involved in using P olymers P lus tomodel specific systems.

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    PREFACE

    iv

    CONTENTS AND ORGANIZATION

    The User Guide is divided into two volumes. The main chapters contained in each volumeare described below.

    Chapter Description

    Volume 1

    Chapter 1 - Introduction This chapter describes the basics of polymer process modeling and the

    steps involved in defining a model in Polymers Plus.

    Chapter 2 - Polymer Structural Characterization This chapter describes the methods used for characterizing

    components. Included are the methodologies for calculating distributions

    and features for tracking end-use properties.

    Chapter 3 - Thermodynamic Properties This chapter describes the physical property methods available in

    Polymers Plus. An overview of the key issues for polymer systems is

    also given.

    Chapter 4 - Polymerization Reactions This chapter describes the polymerization kinetic models. An overview

    of the various categories of polymerization kinetic schemes is given.

    Volume 2

    Chapter 5 - Steady-State Flowsheeting This chapter provides an overview of capabilities used in constructing a

    polymer process flowsheet model. For example, the unit operation

    models, data fitting tools, and analysis tools, such as sensitivity studies,

    etc.

    Chapter 6 - Run-Time Environment This chapter covers issues concerning the run-time environment

    including installation issues and troubleshooting tips.

    Appendices For the most part the appendices contain data tables referred to in other

    sections of the manual.

    Input Language Reference This section is a tabular summary of the input language for Polymers

    Plus features.

    Glossary This is a compilation of specialized terminology used in polymer process

    modeling and their definition.

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    OTHER INFORMATION SOURCES

    Parts of this User Guide refer to the Polymers Plus Examples &Applications Case Book, acomplement to this manual. In addition, for information regarding Aspen Plus capabilities

    not covered in this User Guide, you may need to refer to theAspen Plus User Guide and

    Reference Manuals series for:

    N

    Unit Operation Models

    N

    Physical Property Methods and Models

    N

    Physical Property Data

    N User Models

    N

    System Management

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    The most current Hotline contact information is listed. Other information includes:

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    Frequently asked questions

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    Product training courses

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    Technical tips

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    PREFACE

    vi

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    Our goal is to provide you with Polymers Plus documentation that meets your information

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    Aspen Technology, Inc.Attn: Polymer Technology CoordinatorTen Canal ParkCambridge, Massachusetts 02141USATelefax: +1-617/949-1030

    For your convenience, a Comments form is included at the end of the User Guide.

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    CONTENTS

    VOLUME 1

    Chapter 1 Introduction

    About P olymers P lus................................................................................................. 1 1

    Overview of P olymerizat ion P rocesses .................................................................... 1 2

    P olymer Ma nufa cturing P rocess S teps ................................................................. 1 2

    Issu es of Concern in P olymer P rocess Modeling..................................................... 1 4

    Monomer S ynt hesis a nd P urificat ion....................................................................1 5

    P olymerizat ion........................................................................................................ 1 5

    Recovery /Separa tion ............................................................................................ 1 6P olymer P rocessing ................................................................................................1 6

    Sum ma ry................................................................................................................. 1 6

    P olymers P lus Tools ..................................................................................................1 7

    Component Ch ar a cterizat ion................................................................................. 1 7

    P olymer P hysica l P ropert ies.................................................................................. 1 8

    P olymerizat ion Kinetics .........................................................................................1 8

    Modeling Da ta ........................................................................................................ 1 8

    P rocess Flowsh eeting ............................................................................................. 1 9

    Defining a Model in P olymers P lus........................................................................ 1 10

    References ...............................................................................................................1 12

    Chapter 2 Polymer Structural CharacterizationP olymer St ructur e..................................................................................................... 2 2

    Polymer Structural Properties.................................................................................2 5

    Ch a ra cterizat ion Approa ch ...................................................................................... 2 5

    Component Att ributes ............................................................................................ 2 6

    References .................................................................................................................2 6

    Section 2.1 Component Classification

    Component Ca tegories.............................................................................................. 2 7

    Convent iona l Components ..................................................................................... 2 8

    P olymers ................................................................................................................. 2 9

    Oligomers ................................................................................................................ 2 9Segment s............................................................................................................... 2 10

    Site-Based .............................................................................................................2 10

    Component Da ta ban ks ........................................................................................... 2 11

    P ure Component D a ta ba nk .................................................................................2 11

    Segment Da ta ba nk ............................................................................................... 2 12

    P olymer Da ta ba nk................................................................................................ 2 12

    Segment Methodology..............................................................................................2-13

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    Specifying Components...........................................................................................2 13

    Selecting Da ta ba nks .............................................................................................2 14

    Defining Component Na mes a nd Types..............................................................2 14

    Specifying Segment s.............................................................................................2 15

    Specifying P olymers .............................................................................................2 15Specifying Oligomers ............................................................................................2 16

    Specifying Sit e-B a sed Components .....................................................................2 17

    References................................................................................................................2 18

    Section 2.2 Polymer Structural Properties

    St ructur al P ropert ies a s Component Attribut es ...................................................2 19

    Component Att ribute Cla sses.................................................................................2 20

    Component Att ribut e Ca tegories ...........................................................................2 21

    P olymer Component Att ribut es ...........................................................................2 21

    Sit e-B a sed Species Att ributes ..............................................................................2 32

    U ser Att ribut es .....................................................................................................2 33

    Component Att ribut e I nitia lizat ion .......................................................................2 34Att ribut e Init ializa tion Scheme ...........................................................................2 34

    Specifying Component Att ribut es ..........................................................................2 39

    Specifying P olymer C omponent Att ribut es ........................................................2 39

    Specifying S ite-B a sed C omponent Att ribut es ....................................................2 39

    Specifying C onventional Component Att ribut es ................................................2 39

    Initializing Component Attributes in Streams or Blocks ..................................2 40

    References................................................................................................................2 40

    Section 2.3 Structural Property Distributions

    P ropert y Dist ribut ion Types...................................................................................2 41

    Dist ribution Fun ctions ............................................................................................2 43Schulz-Flory Most P robable Dist ribut ion ...........................................................2 43

    St ockma yer B ivar iat e Dist ribution .....................................................................2 44

    Dist ributions in P rocess Models .............................................................................2 45

    Avera ge P roperties a nd Moments .......................................................................2 45

    Method of Ins ta nta neous P roperties ...................................................................2 47

    Co-polymerization.................................................................................................2 50

    Mechanism for Tra cking Dist ributions ..................................................................2 51

    Dist ributions in Kinetic Rea ctors ........................................................................2 51

    Dist ributions in P rocess St rea ms ........................................................................2 53

    Request ing Dist ribut ion C alcula tions....................................................................2 54

    Selecting Dist ribution C ha ra cteristics ................................................................2 54

    Displa ying Dist ribut ion Da ta for a Reactor ........................................................2 54Displaying Distribution Data for Streams..........................................................2 55

    References................................................................................................................2 56

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    Section 2.4 End-Use Properties

    P olymer P ropert ies .................................................................................................2 59

    En d-U se P ropert ies................................................................................................. 2 60

    Relat ionship to Molecula r St ructur e................................................................... 2 60

    Method for Ca lculatin g En d-U se Pr operties ......................................................... 2 62Int rinsic Viscosity................................................................................................. 2 63

    Zero-Shear Viscosity ............................................................................................2 63

    Densit y of Copolymer ...........................................................................................2 64

    Melt Ind ex............................................................................................................. 2 64

    Melt Ind ex Ra tio................................................................................................... 2 65

    Ca lculatin g E nd-U se P roperties ............................................................................ 2 65

    Selecting a n En d-U se P ropert y ........................................................................... 2 65

    Adding an En d-U se P ropert y P rop-Set ...............................................................2 66

    References ...............................................................................................................2 67

    Chapter 3 Thermodynamic Properties

    P ropert ies of Int erest in P rocess S imula tion ..........................................................3 2

    P roperties for E quilibrium, Ma ss an d Energy B ala nces . . . . . . .. . . .. . . .. . . .. . . .. . . .. . . .. . . .. . 3 2

    P roperties for D eta iled Eq uipment D esign...........................................................3 3

    Summary of Important Properties for Modeling..................................................3 3

    Differences Bet w een Polymers an d Non-polymers .................................................3 4

    Modeling Phase Equilibria in Polymer-Containing Mixtures................................3 6

    Modeling Ot her Thermophysical P ropert ies of P olymers .................................... 3 10

    Property Models Available in Polymers Plus........................................................3 11

    Activity Coefficient Models .................................................................................. 3 12

    Eq ua tions-of-St a te................................................................................................ 3 13

    Oth er Thermophysical Models ............................................................................ 3 14

    P ropert y Methods....................................................................................................3 15Thermodyn a mic Da ta for P olymers .......................................................................3 17

    References ...............................................................................................................3 18

    Section 3.1 Van Krevelen Property Models

    Sum ma ry of Applicability .......................................................................................3 21

    Van Krevelen Models.............................................................................................. 3 22

    Liqu id En tha lpy Model........................................................................................... 3 23

    Liquid Enthalpy Model Parameters....................................................................3 24

    Solid En tha lpy Model ............................................................................................. 3 26

    Solid En th alpy M odel P a ra meters ...................................................................... 3 27

    Liqu id G ibbs Fr ee Energy Model...........................................................................3 29

    Liquid Gibbs Free Energy Model Parameters....................................................3 30Solid G ibbs Free En ergy Model.............................................................................. 3 32

    Solid Gibbs Free Energy Model Parameters ......................................................3 33

    Liqu id Molar Volume Model...................................................................................3 35

    Liqu id Molar Volume Model Pa ra meters............................................................ 3 37

    Solid Molar Volume Model .....................................................................................3 38

    Solid Molar Volume Model P a ra meters .............................................................. 3 39

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    G las s Tra nsit ion Temperat ure C orrelat ion...........................................................3 41

    Glass Transition Correlation Parameters...........................................................3 41

    Melt Tra nsition Temperat ure Correla tion ............................................................3 42

    Melt Tra nsition Model P a ra meters .....................................................................3 42

    Van Krevelen Property Parameter Estimation.....................................................3 43Specifying P hysica l P ropert ies ...............................................................................3 44

    Selecting P hysica l P roperty Met hods..................................................................3 44

    Creating Customized Physical Property Methods..............................................3 45

    Ent ering P ar am eters for a P hysical P roperty Model . . . .. . . .. . . .. . . .. . . .. . . .. . . .. . . .. . . .. . . ..3 46

    Ent ering a P hysical P roperty P ar am eter Est imat ion Method .. . . .. . . .. . . .. . . .. . . .. . . ..3 47

    Ent ering Molecular St ructure for a P hysical P roperty E stima tion .. . . .. . . .. . . .. . . ..3 48

    Ent ering Da ta for P hysical P roperties Pa ra meter Optimization . . . .. . . .. . . .. . . .. . . .. .3 49

    References................................................................................................................3 50

    Section 3.2 Tait Molar Volume Model

    Sum ma ry of Applicability .......................................................................................3 51

    Tait Molar Volume Model.......................................................................................3 52Ta it Model P a ra meters.........................................................................................3 53

    Specifying the Ta it Molar Volume Model ..............................................................3 53

    References................................................................................................................3 54

    Section 3.3 Polymer Viscosity Models

    Sum ma ry of Applicability .......................................................................................3 55

    P ure P olymer Modified Ma rk-Houw ink Model .....................................................3 56

    Modified Ma rk-Houw ink Model P a ra meters ......................................................3 58

    Van Kr evelen Viscosity-Temperat ure Correla tion .............................................3 59

    Van Krevelen Correlation Parameters................................................................3 63

    Concentra ted P olymer Solution Viscosity Model ..................................................3 64Qua si-B ina ry Sy stem ...........................................................................................3 64

    P ropert ies of P seudo-Components .......................................................................3 65

    Solution Viscosity Model P a ra meters..................................................................3 67

    P olymer S olution Viscosity Es tima tion ...............................................................3 67

    P olymer S olution G las s Tra nsit ion Temperat ure ..............................................3 69

    Polymer Viscosity At Mixture Glass Transition Temperature..........................3 69

    True Solvent Dilution Effect ................................................................................3 70

    Specifying the Viscosity Models .............................................................................3 70

    References................................................................................................................3 71

    Section 3.4 Flory-Huggins Activity Coefficient Model

    Sum ma ry of Applicability .......................................................................................3 73Flory-Huggins Model ..............................................................................................3 74

    Flory-Hu ggins Model P a ra meters .......................................................................3 77

    Specifying the Flory-Hu ggins Model......................................................................3 77

    References................................................................................................................3 78

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    Section 3.5 NRTL Activity Coefficient Models

    Sum ma ry of Applicability .......................................................................................3 79

    P olymer NRTL Model O verview ............................................................................ 3 80

    P olymer NRTL Model............................................................................................. 3 81

    Ra ndom Copolymer NRTL Model.......................................................................... 3 83P a ra meters for t he NR TL Models ....................................................................... 3 85

    Compa risons of th e P olymer N RTL Models .......................................................... 3 86

    Sim ilar ities ...........................................................................................................3 86

    Differences ............................................................................................................3 86

    Specifying the P olymer NRTL Models................................................................... 3 86

    References ...............................................................................................................3 87

    Section 3.6 UNIFAC Activity Coefficient Model

    Sum ma ry of Applicability .......................................................................................3 89

    P olymer U NIF AC Model ........................................................................................ 3 90

    Polymer UNIFAC Model Parameters .................................................................3 92Specifying the U NIF AC Model...............................................................................3 92

    References ...............................................................................................................3 93

    Section 3.7 Polymer UNIFAC Free Volume Model

    Sum ma ry of Applicability .......................................................................................3 95

    P olymer U NIF AC Free Volume Model .................................................................. 3 96

    Polymer UNIFAC Free Volume Model Parameters...........................................3 97

    Specifying th e P olymer U NIF AC Fr ee Volume Model ......................................... 3 97

    References ...............................................................................................................3 98

    Section 3.8 Polymer Ideal Gas Property Model

    Sum ma ry of Applicability .......................................................................................3 99

    Polymer Ideal Gas Property Model......................................................................3 100

    Polymer Ideal Gas Model Parameters ..............................................................3 102

    Specifying t he I deal G a s Model............................................................................ 3 102

    References .............................................................................................................3 103

    Section 3.9 Sanchez-Lacombe EOS Model

    Sum ma ry of Applicability ..................................................................................... 3 105

    Sa nchez-La combe Model ...................................................................................... 3 108

    P ure Fluids ......................................................................................................... 3 108

    Fluid Mixtures .................................................................................................... 3 110

    P olymer Sy stems ................................................................................................ 3 111Sa nchez-La combe Model P a ra meters ............................................................... 3 112

    Specifying t he S a nchez-La combe E OS Model ..................................................... 3 112

    References .............................................................................................................3 113

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    Section 3.10 Polymer SRK EOS Model

    Sum ma ry of Applicability .....................................................................................3 116

    P olymer SR K EOS Model .....................................................................................3 117

    Polymer SRK EOS Model Parameters ..............................................................3 119

    Specifying th e P olymer S RK EOS Model ............................................................3 122References..............................................................................................................3 122

    Section 3.11 SAFT Equation-of-State Model

    Sum ma ry of Applicability .....................................................................................3 123

    SAFT EOS Model ..................................................................................................3 124

    Ext ension to Fluid Mixtures ..............................................................................3 128

    Application of SAFT..............................................................................................3 130

    SAFT EOS Model P a ra meters ...........................................................................3 132

    Specifying the SAFT EOS Model .........................................................................3 132

    References..............................................................................................................3 133

    Chapter 4 Polymerization Reactions

    P olymerizat ion R eaction Ca tegories ........................................................................4 2

    St ep-G rowt h P olymerizat ion .................................................................................4 4

    Ch a in-G rowt h P olymerizat ion...............................................................................4 5

    P olymerizat ion P rocess Types ..................................................................................4 6

    P olymers P lus React ion Models ...............................................................................4 7

    Built-in Models .......................................................................................................4 7

    User Models ............................................................................................................4 8

    References..................................................................................................................4 9

    Section 4.1 Step-Growth Polymerization Model

    Sum ma ry of Applicat ions .......................................................................................4 12

    St ep-G rowt h P rocesses ...........................................................................................4 12

    P olyesters ..............................................................................................................4 12

    Nylon-6..................................................................................................................4 19

    Nylon-6,6...............................................................................................................4 20

    P olyca rbonat e .......................................................................................................4 23

    Rea ction Kinetic Scheme ........................................................................................4 25

    Overview ...............................................................................................................4 25

    P olyester Reaction Kinetics .................................................................................4 30

    Nylon-6 Reaction Kinetics....................................................................................4 37

    Nylon-6,6 Reaction Kinetics.................................................................................4 41

    Melt P olyca rbona te Reaction Kinet ics ................................................................4 49Model Fea tur es a nd Assumpt ions..........................................................................4 52

    Model Predictions .................................................................................................4 52

    P ha se Eq uilibria ...................................................................................................4 52

    Rea ction Mecha nism ............................................................................................4 53

    Model St ructur e ......................................................................................................4 53

    Rea cting G roups an d Species...............................................................................4 53

    Rea ction S toichiometr y G enera tion ....................................................................4 60

    Model-G enerat ed Rea ctions .................................................................................4 61

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    U ser Reactions ...................................................................................................... 4 67

    U ser Subr outines.................................................................................................. 4 69

    Specifying Step-Growth Polymerization Kinetics.................................................4 87

    Accessing th e St ep-G rowt h Model....................................................................... 4 87

    Specifying the St ep-G rowt h Model .....................................................................4 88Specifying Rea cting Components ........................................................................ 4 89

    List ing B uilt-In Reactions....................................................................................4 89

    Specifying Built-In Reaction Rate Constants.....................................................4 90

    Assigning Ra te C onsta nts to Rea ctions ..............................................................4 90

    Including U ser Rea ctions ..................................................................................... 4 91

    Adding or E diting U ser R eactions....................................................................... 4 92

    Assigning R a te Const a nts to U ser Rea ctions .....................................................4 92

    Selecting Report Options .....................................................................................4 92

    Including a U ser K inetic Subr outine .................................................................. 4 93

    Including a User Rat e Const a nt Subroutin e ...................................................... 4 93

    Including a U ser B as is Su broutine ..................................................................... 4 93

    References ...............................................................................................................4 94

    Section 4.2 Free-Radical Bulk Polymerization

    Sum ma ry of Applicat ions .......................................................................................4 96

    Fr ee-Ra dica l B ulk/Solut ion P rocesses .............. ............... ............... .............. ......... 4 97

    Rea ction Kinet ic Scheme ........................................................................................4 97

    Init iat ion ............................................................................................................. 4 102

    P ropaga tion......................................................................................................... 4 104

    Ch a in Tra nsfer to S ma ll Molecules...................................................................4 105

    Termination ........................................................................................................4 105

    Short and Long Chain Branching .....................................................................4 106

    B eta -Scission.......................................................................................................4 107

    Model Fea tur es a nd Assumpt ions........................................................................ 4 107

    Ca lculation Method ............................................................................................ 4 108

    Qua si-St eady -St a te Approxima tion (QSS A).....................................................4 109

    P ha se Eq uilibrium..............................................................................................4 109

    Gel Effect ............................................................................................................4 109

    P olymer P ropert ies C a lculated ............................................................................4 112

    Specifying Free-Ra dical P olymerizat ion Kinetics............................................... 4 115

    Accessing th e Free-Ra dical Model..................................................................... 4 115

    Specifying the Free-Ra dical Model....................................................................4 115

    Specifying React ing Species............................................................................... 4 116

    List ing Rea ctions ................................................................................................ 4 116

    Adding Reactions ................................................................................................ 4

    117

    Ed iting Reactions ............................................................................................... 4 117

    Assigning Ra te C onsta nts to Rea ctions ............................................................ 4 118

    Selecting Ca lculation Options ........................................................................... 4 118

    Adding Gel-Effect ...............................................................................................4 118

    References .............................................................................................................4 119

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    Section 4.3 Emulsion Polymerization Model

    Sum ma ry of Applicat ions .....................................................................................4 122

    Em ulsion P olymeriza tion P rocesses ....................................................................4 123

    Rea ction Kinetic Scheme ......................................................................................4 123

    Micellar Nucleation ............................................................................................4 124H omogeneous Nucleation...................................................................................4 128

    P a rt icle G rowt h ..................................................................................................4 130

    Ra dical B ala nce ..................................................................................................4 131

    Kinet ics of Em ulsion P olymerizat ion ................................................................4 136

    Model Fea tur es a nd Assumpt ions........................................................................4 139

    Model Assumptions ............................................................................................4 139

    Thermodyn a mics of Monomer P a rt itioning ......................................................4 139

    P olymer P a rt icle Size D istr ibution....................................................................4 140

    P olymer P a rt icle P ropert ies Ca lculated ..............................................................4 142

    U ser P rofiles .......................................................................................................4 143

    Specifying E mulsion P olymerizat ion Kinetics ....................................................4 144

    Accessing the Emulsion Model ..........................................................................4 144Specifying the Em ulsion Model .........................................................................4 144

    Specifying Reactin g Species...............................................................................4 145

    List ing Rea ctions ................................................................................................4 145

    Adding Reactions ................................................................................................4 146

    Ed iting Reactions ...............................................................................................4 146

    Assigning Ra te C onsta nt s t o Reactions ............................................................4 147

    Selecting Ca lculation Options............................................................................4 147

    Adding Gel-Effect ...............................................................................................4 147

    Specifying P ha se P ar tit ioning ...........................................................................4 148

    Specifying Particle Growth Parameters............................................................4 148

    References..............................................................................................................4 149

    Section 4.4 Ziegler-Natta Polymerization Model

    Sum ma ry of Applicat ions .....................................................................................4 152

    Ziegler-Na tt a P rocesses ........................................................................................4 152

    Ca ta lyst Types ....................................................................................................4 153

    Et hylene P rocess Types......................................................................................4 153

    P ropylene P rocess Types ....................................................................................4 154

    Rea ction Kinetic Scheme ......................................................................................4 157

    Ca ta lyst Sit e Activat ion .....................................................................................4 164

    Ch a in Init iat ion ..................................................................................................4 165

    P ropaga tion .........................................................................................................4 165

    Ch a in Tra nsfer to S ma ll Molecules ...................................................................4 166Sit e Dea ctivat ion ................................................................................................4 166

    Sit e Inh ibition .....................................................................................................4 167

    Cocat aly st P oisoning ..........................................................................................4 167

    Long Ch ain B ra nching Rea ctions......................................................................4 167

    Model Fea tur es a nd Assumpt ions........................................................................4 168

    P ha se Eq uilibria .................................................................................................4 168

    Ra te Ca lculations................................................................................................4 168

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    P olymer P ropert ies C a lculated ............................................................................4 169

    Specifying Ziegler-Na tt a P olymerizat ion Kinetics .............................................4 170

    Accessing th e Ziegler-Na tt a Model ................................................................... 4 170

    Specifying the Ziegler-Na tt a Model ..................................................................4 170

    Specifying React ing Species............................................................................... 4 171List ing Rea ctions ................................................................................................ 4 171

    Adding Reactions ................................................................................................ 4 172

    Ed iting Reactions ............................................................................................... 4 172

    Assigning Ra te C onsta nts to Rea ctions ............................................................ 4 173

    References .............................................................................................................4 174

    Section 4.5 Ionic Polymerization Model

    Sum ma ry of Applicat ions ..................................................................................... 4 176

    Ionic Processes ......................................................................................................4 177

    Rea ction Kinet ic Scheme ...................................................................................... 4 178

    Forma tion of Active Species ..............................................................................4 182

    Ch a in Init iat ion R eactions................................................................................. 4 183P ropaga tion Reaction .........................................................................................4 183

    Associa tion or Aggrega tion Rea ction ................................................................ 4 184

    Excha nge Reactions ........................................................................................... 4 184

    Eq uilibrium w ith Count er-Ion Rea ctions ......................................................... 4 184

    Ch a in Tra nsfer Reactions .................................................................................. 4 185

    Ch a in Termina tion Reactions ............................................................................ 4 185

    Model Fea tur es a nd Assumpt ions........................................................................ 4 186

    P ha se Eq uilibria .................................................................................................4 186

    Ra te Ca lculations ............................................................................................... 4 186

    P olymer P ropert ies C a lculated ............................................................................4 187

    Specifying I onic Polymeriza tion K inetics ............................................................ 4 188

    Accessing the Ionic Model..................................................................................4 188

    Specifying the Ionic Model................................................................................. 4 188

    Specifying React ing Species............................................................................... 4 189

    List ing Rea ctions ................................................................................................ 4 189

    Adding Reactions ................................................................................................ 4 190

    Ed iting Reactions ............................................................................................... 4 190

    Assigning Ra te C onsta nts to Rea ctions ............................................................ 4 191

    References .............................................................................................................4 192

    Section 4.6 Segment-Based Reaction Model

    Sum ma ry of Applicat ions ..................................................................................... 4 193

    P olymer Modificat ion P rocesses...........................................................................4 194Segment -B as ed Model Allowed Reactions........................................................... 4 195

    Convent iona l Species Reactions ........................................................................ 4 196

    Side G roup or B a ckbone Modifications ............................................................. 4 196

    Ch a in Scission .................................................................................................... 4 196

    De-polymerization ..............................................................................................4 197

    Combina tion Reactions ...................................................................................... 4 197

    Kinetic Ra te Expression..................................................................................... 4 198

    Model Fea tur es a nd Assumpt ions........................................................................ 4 199

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    P olymer P roperties C a lculated.............................................................................4 199

    Specifying Segment -B a sed P olymer Modificat ion Reactions .............................4 200

    Accessing the Segment - B a sed Model ...............................................................4 200

    Specifying t he S egment- Ba sed Model ..............................................................4 200

    Specifying Reaction Sett ings .............................................................................4 201B uilding a Reaction Scheme ..............................................................................4 201

    Adding or Ed iting React ions ..............................................................................4 202

    Assigning Ra te C onsta nt s t o Reactions ............................................................4 202

    References..............................................................................................................4 203

    VOLUME 2

    Chapter 5 Steady-State Flowsheeting

    P olymer Ma nufa cturing Flowsh eets ........................................................................5 2Monomer Sy nth esis ................................................................................................5 4

    P olymer Sy nth esis ..................................................................................................5 4

    Recovery /Separa tions ...........................................................................................5 4

    P olymer P rocessing ................................................................................................5 5

    Modeling P olymer P rocess Flowsh eets ....................................................................5 5

    St eady -St a te Modeling Fea tur es..............................................................................5 5

    U nit Operat ions Modeling Fea tur es......................................................................5 6

    Plant Data Fitting Features ..................................................................................5 6

    Process Model Application Tools ...........................................................................5 6

    References..................................................................................................................5 6

    Section 5.1 Steady-State Unit Operation ModelsSum ma ry of Aspen P lus U nit Operat ion Models ....................................................5 8

    Dupl.........................................................................................................................5 9

    Fla sh2 ....................................................................................................................5 11

    Fla sh3 ....................................................................................................................5 11

    FSplit .....................................................................................................................5 12

    Hea ter....................................................................................................................5 12

    Mixer .....................................................................................................................5 13

    Mult .......................................................................................................................5 14

    Pump .....................................................................................................................5 15

    Pipe........................................................................................................................5 15

    S ep ................. .................. .................. ................... .................. .................. ............. 5 15Sep2.......................................................................................................................5 15

    Dist illat ion Models ..................................................................................................5 16

    Ra dFr a c .................................................................................................................5 16

    Reactor Models ........................................................................................................5 16

    Ma ss-B a lan ce Reactor Models ................................................................................5 17

    RStoic ....................................................................................................................5 17

    RYield .................. .................. ................... .................. .................. .................. ....... 5 18

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    Eq uilibrium Reactor Models .................................................................................. 5 19

    RE quil ...................................................................................................................5 19

    RG ibbs ...................................................................................................................5 19

    Kinetic Rea ctor Models........................................................................................... 5 20

    RCSTR...................................................................................................................5 20RP lug..................................................................................................................... 5 35

    RB a tch................................................................................................................... 5 46

    Trea tm ent of Component Att ribut es in Un it Opera tion Models .........................5 57

    References ...............................................................................................................5 60

    Section 5.2 Plant Data Fitting

    Da ta Fitt ing Applicat ions ....................................................................................... 5 62

    Da ta Fitt ing F or P olymer Models ..........................................................................5 63

    Da ta Collection a nd Verificat ion .........................................................................5 64

    Litera tur e Review ................................................................................................5 65

    Preliminary Parameter Fitting ...........................................................................5 65

    P relimina ry Model Development ........................................................................ 5 67Trend Analysis......................................................................................................5 67

    Model Refinement ................................................................................................5 68

    St eps in U sing t he Da ta Regression Tool .............................................................. 5 69

    Ident ifying Flowsh eet Va ria bles ......................................................................... 5 70

    Ma nipulat ing Va ria bles Indir ectly ......................................................................5 72

    En tering P oint Da ta ............................................................................................. 5 74

    En tering P rofile Da ta ........................................................................................... 5 74

    Entering Standard Deviations ............................................................................5 75

    Defining Da ta Regression C a ses .........................................................................5 76

    Seq uencing Da ta Regression Ca ses.....................................................................5 77

    Int erpreting D a ta Regression Results ................................................................ 5 78

    Troubleshooting Convergence P roblems.............................................................5 79

    Section 5.3 User Models

    U ser U nit Operat ion Models ..................................................................................5 85

    U ser U nit Opera tion Models Str ucture .............................................................. 5 86

    U ser U nit Opera tion Model Calcula tions ........................................................... 5 86

    U ser U nit Operat ion Report Writin g .................................................................. 5 92

    U ser Kinetic Models................................................................................................ 5 92

    U ser P hysica l P ropert y Models..............................................................................5 97

    References .............................................................................................................5 101

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    Section 5.4 Application Tools

    Exa mple Applica tions for a Sim ula tion Model....................................................5 103

    Applicat ion Tools Ava ilable in P olymers P lus.....................................................5 104

    Fortr a n ................................................................................................................5 105

    DE SI G N-SP EC ...................................................................................................5 105SENSITIVITY.....................................................................................................5 105

    CASE -STU DY .....................................................................................................5 106

    OPTIMIZATION.................................................................................................5 106

    Model Variable Accessing .....................................................................................5 106

    References...............................................................................................................5-109

    Chapter 6 Run-Time Environment

    P olymers P lus Architecture ......................................................................................6 1

    Ins ta llat ion Issues .....................................................................................................6 2

    Ha rdw a re Requir ements ........................................................................................6 2

    Ins ta llat ion P rocedure ............................................................................................6 2Configuration Tips ....................................................................................................6 3

    St a rt up Files ...........................................................................................................6 3

    Simulation Templates ............................................................................................6 3

    U ser Fortr an ..............................................................................................................6 3

    U ser Fortr an Templat es.........................................................................................6 3

    U ser Fortr an Linking .............................................................................................6 4

    Troubleshooting Guide..............................................................................................6 4

    U ser Int erface P roblems ........................................................................................6 4

    Sim ula tion En gine Run-Time P roblems ...............................................................6 7

    Documenta tion a nd Online Help .............................................................................6 9

    References..................................................................................................................6 9

    Appendix A Component Databanks

    P ure Component Da ta ba nk ..................................................................................... A 1

    P OLYME R Da ta ba nk............................................................................................... A 2

    SE G ME NT D at a ban k .............................................................................................. A 8

    Appendix B Physical Property Methods

    Appendix C Van Krevelen Functional Groups

    Ca lculatin g Segment P ropert ies From Fun ctional G roups ................................... C 2

    Hea t Ca pacity ........................................................................................................ C 2

    Molar Volume ........................................................................................................ C 2En tha lpy of Forma tion .......................................................................................... C 2

    G las s Tra nsition Temperat ure ............................................................................. C 3

    Melt Tra nsition Temperat ure ............................................................................... C 3

    Viscosity-Temperature Gradient .......................................................................... C 3

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    Appendix D Tait Model Coefficients

    Appendix E Mass Based Property Parameters

    Appendix F Equation-of-State Parameters

    Appendix G Kinetic Rate Constant Parameters

    Init iat or Decomposition Ra te .................................................................................. G 2

    Appendix H Fortran Utilities

    Component Attribut e Ha ndling U tilities ............................................................... H 3

    CAELI D.................................................................................................................. H 3

    CAID.......................................................................................................................H 4

    CAMIX ...................................................................................................................H 5

    CASP LT ................................................................................................................. H

    6

    CASP SS .................................................................................................................. H 7

    CAUP DT ................................................................................................................ H 8

    COP YCA ................................................................................................................ H 9

    GETCRY ..............................................................................................................H 10

    G ETDP N .............................................................................................................. H 11

    G ETMWN ................. .................. .................. .................. ................... .................. H 12

    GETMWW............................................................................................................H 13

    LC AOFF ............................................................................................................... H 14

    LC ATT................... .................. .................. .................. .................. .................. ..... H 15

    NC AVAR .................. .................. .................. ................... .................. .................. . H 16

    Component H a ndling U tilities .............................................................................. H 17

    CPACK .................................................................................................................H 17IF CMNC ............................................................................................................... H 18

    ISCAT...................................................................................................................H 19

    IS OLIG ................................................................................................................. H 20

    IS P OLY ................................................................................................................ H 21

    IS SE G ...................................................................................................................H 22

    SC P ACK ............................................................................................................... H 23

    XATOWT................................ ................... .................. .................. .................. ..... H 24

    XATOXT................................. ................... .................. .................. .................. ..... H 25

    General Stream Handling Utilities ......................................................................H 26

    IPTYPE ................................................................................................................H 26

    LOC ATS ................. .................. .................. .................. .................. .................. .... H 27

    LP HASE ............................................................................................................... H 28NP HASE .............................................................................................................. H 29

    NS VAR ................. .................. .................. .................. ................... .................. ..... H 30

    SS COP Y ............................................................................................................... H 31

    Oth er U tilities ........................................................................................................ H 32

    VOLL....................................................................................................................H 32

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    Input Language Reference

    Specifying Components................................Input Error! Bookmark not defined.

    Na ming Components ...................................................................................... Input 2

    Specifying Component Chara cterization Input s ............................................ In put 3

    Specifying Component Att ribut es .................................................................... I nput 5Specifying Characterization Attributes............................................................ Input 5

    Specifying C onventional Component Att ribut es .......................................... Input 5

    Init ializing Att ribut es in St rea ms ................................................................. Input 5

    Request ing D istr ibution C alcula tions.............................................................. Input 7

    Ca lculatin g E nd U se P roperties....................................................................... Input 8

    Specifying P hysica l P ropert y I nputs .............................................................. Input 10

    Specifying P ropert y Methods ....................................................................... I nput 10

    Specifying P ropert y Da ta ............................................................................. Input 12

    Estimating Property Parameters ................................................................ Input 14

    Specifying Step-Growth Polymerization Kinetics......................................... Input 15

    Specifying Free-Ra dical P olymerizat ion Kinetics ......................................... Input 22

    Specifying E mulsion P olymerizat ion K inetics .............................................. Input 30Specifying Ziegler-Na tt a P olymerizat ion Kinetics........................................ Input 38

    Specifying Ionic P olymerizat ion K inetics ...................................................... I nput 50

    Specifying Segment -B a sed P olymer Modifica tion Rea ctions ....................... Input 58

    References........................................................................................................ Input 60

    Glossary

    Index

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    1 INTRODUCTION

    This chapter provides an overview of the issues related to polymer manufacturing process

    modeling and their handling in Polymers Plus

    .

    Topics covered include:N

    About Polymers Plus

    N

    Overview of Polymerization Processes

    N

    Issues of Concern in Polymer Process Modeling

    N

    Polymers Plus Tools

    N

    Defining a Model in Polymers Plus

    ABOUT POLYMERS PLUS

    Polymers Plus is a general-purpose process modeling system for the simulation of polymer

    manufacturing processes. The modeling system includes modules for the estimation of

    thermophysical properties, and for performing polymerization kinetic calculations and

    associated mass and energy balances.

    Also included in Polymers Plus are modules for:

    N

    Characterizing polymer molecular structure

    N

    Calculating rheological and mechanical properties

    N

    Tracking these properties throughout a flowsheet

    There are also many additional features that permit the simulation of the entiremanufacturing processes.

    11

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    OVERVIEW OF POLYMERIZATION PROCESSES

    Polymer Definition

    A polymer is a macromolecule made up of many smaller repeating units providing linearand branched chain structures. Although a wide variety of polymers are produced naturally,

    synthetic or man-made polymers can be tailored to satisfy specific needs in the market

    place, and affect our daily lives at an ever increasing rate. The worldwide production of

    synthetic polymers, estimated at approximately 100 million tons annually, provides products

    such as plastics, rubber, fibers, paints, and adhesives used in the manufacture of construction

    and packaging materials, tires, clothing, and decorative and protective products.

    Polymer Molecular

    BondsPolymer molecules involve the same chemical bonds and intermolecular forces as other

    smaller chemical species. However, the interactions are magnified due to the molecular

    size of the polymers. Also important in polymer production are production rate

    optimization, waste minimization and compliance to environmental constraints, yield

    increases and product quality. In addition to these considerations, end-product processingcharacteristics and properties must be taken into account in the production of polymers

    (Dotson, 1996).

    PolymerManufacturingProcess Steps

    Polymer manufacturing processes are usually divided into the following major steps:

    1. Monomer synthesis and purification

    2. Polymerization

    3. Recovery/Separation

    4. Polymer processing (physical and reactive)1.

    The four steps may be carried out by the same manufacturer within a single integrated

    plant, or specific companies may focus on one or more of these steps (Grulke, 1994).

    Figure 1.1 illustrates the important stages for each of these four steps. The main issues of

    concern for each of those steps are described next.

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    Figure 1.1 Major Steps in Polymer Production Processes

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    ISSUES OF CONCERN IN POLYMER PROCESS MODELING

    There are modeling issues associated with each step in the production of polymers. Asummary of these issues along with the required tools is listed in Table 1.1.

    Table 1.1 Summary of Polymer Modeling Issues/Concerns

    Step Modeling Issues/Concerns Tools Required

    Monomer synthesis and purification N Feedstock purity

    N Monomer degradation

    N Emissions

    N Waste disposal

    N

    Unit operations: separators

    N Reaction kinetics

    N Phase equilibria

    Polymerization N Temperature control

    N Molecular weight control, polymerspecifications

    N

    Conversion yield

    N Reaction medium viscosity

    N

    Residence time

    N Reactor stability

    N

    Waste minimization

    N

    Characterization

    N Reaction kinetics

    N

    Phase equilibria

    N Heat transfer

    N Unit operations: reactors

    N Transport phenomena

    N Process dynamics

    N

    Process control

    Recovery / Separation N Solvent removal

    N

    Monomer recovery

    N Unit operations: separators

    N

    Phase equilibria

    N Heat and mass transfer

    Polymer processing N Solvent removal

    N Solids handling

    N Heat and mass transfer

    N Unit operations: separators

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    MonomerSynthesisandPurification

    During monomer synthesis and purification, the engineer is concerned with purity. This is

    because the presence of contaminants, such as water or dissolved gases for example, may

    adversely affect the subsequent polymerization stage by:

    N

    Poisoning catalystsN

    Depleting initiators

    N

    Causing undesirable chain transfer or branching reactionsN

    Another concern of this step is the prevention of monomer degradation through proper

    handling or the addition of stabilizers. Control of emissions, and waste disposal are also

    important factors in this step.

    Polymerization The polymerization step is usually the most important step in terms of the economic

    viability of the manufacturing process. The desired outcome for this step is a polymerproduct with specified properties such as:

    N

    Molecular weight distribution

    N

    Melt index

    N

    Composition

    N

    Crystallinity/density

    N

    Viscosity

    The obstacles that must be overcome to reach this goal depend on both the mechanism of

    polymer synthesis (chain growth or step growth), and on the polymerization process used.

    Polymerization processes may be batch, semi-batch or continuous. In addition, they may

    be carried out in bulk, solution, slurry, gas-phase, suspension or emulsion. Batch andsemi-batch processes are preferred for specialty grade polymers. Continuous processes are

    usually used to manufacture large volume commodity polymers. Productivity depends on

    heat removal rates and monomer conversion levels achieved. Viscosity of polymer

    solutions, and polymer particle suspensions and mixing are important considerations.

    These factors influence the choice of, for example, bulk versus solution versus slurry

    polymerization. Another example is the choice of emulsion polymerization that is often

    dictated by the form of the end-use product, water-based coating or adhesive. Other

    important considerations may include health, safety and environmental impact.

    Most polymerizations are highly exothermic, some involve monomers which are known

    carcinogens and others may have to deal with contaminated water.In summary, for the polymerization step, the reactions which occur usually cause dramatic

    changes in the reaction medium (e.g. significant viscosity increases may occur), which in

    turn make high conversion kinetics, residence-time distribution, agitation and heat

    transfer the most important issues for the majority of process types.

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    Recovery /Separation

    The recovery/separation step can be considered the step where the desired polymer

    produced is further purified or isolated from by-products or residual reactants. In this step,

    monomers and solvents are separated and purified for recycle or resale. The important

    concerns for this step are heat and mass transfer.

    PolymerProcessing

    The last step, polymer processing, can also be considered a recovery step. In this step, the

    polymer slurry is turned into solid pellets or chips. Heat of vaporization is an important

    factor in this step (Grulke, 1994).

    Summary In summary, production rate optimization, waste minimization and compliance toenvironmental constraints, yield increase, and product quality are also important issues in

    the production of polymers. In addition, process dynamics and stability constitute

    important factors primarily for reactors.

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    POLYMERS PLUS TOOLS

    Polymers Plus provides the tools that allow polymer manufacturers to capture the benefits ofprocess modeling.

    Polymers Plus can be used to build models for representing processes in two modes: with

    Aspen Plus

    for steady-state models, and with Aspen Custom Modeler for dynamic

    models. In both cases, the tools used specifically for representing polymer systems fall

    into four categories:

    1. Polymer characterization

    2. Physical properties

    3. Reaction kinetics

    4. Data

    Through Aspen Plus and Aspen Custom Modeler, Polymers Plus provides robust and

    efficient algorithms for handling:

    N

    Flowsheet convergence and optimization

    N

    Complex separation and reaction problems

    N

    User customization through an open architecture

    Component

    Characterization

    Characterization of a polymer component poses some unique challenges. For example, the

    polymer component is not a single species but a mixture of many species. Properties such

    as molecular weight and copolymer composition are not necessarily constant and may

    vary throughout the flowsheet and with time. Polymers Plus provides a flexible

    methodology for characterizing polymer components.

    Each polymer is considered to be made up of a series of segments. Segments have a fixed

    structure. The changing nature of the polymer is accounted for by the specification of the

    number and type of segments it contains at a given processing step.

    Each polymer component has associated attributes used to store information on molecular

    structure and distributions, product properties, and particle size when necessary. The

    polymer attributes are solved/integrated together with the material and energy balances in

    the unit operation models.

    _________ U.S. Patent No. 5,687,090

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    PolymerPhysical

    Properties

    Correlative and predictive models are available in Polymers Plus for representing the

    thermophysical properties of a polymer system, the phase equilibrium, and the transport

    phenomena. Several physical property methods combining these models are available. In

    addition to the built-in thermodynamic models, the open-architecture design allows users

    to override the existing models with their own in-house models.

    PolymerizationKinetics

    The polymerization step represents the most important stage in polymer processes. In this

    step, kinetics play a crucial role. Polymers Plus provides built-in kinetic mechanisms for

    several chain-growth and step-growth type polymerization processes. The mechanisms are

    based on well established sources from the open literature, and have been extensively

    used and validated against data during modeling projects of industrial polymerization

    reactors.

    There are also models for representing polymer modification reactions, and for modelingstandard chemical kinetics. In addition to the built-in kinetic mechanisms, the open-

    architecture design allows users to specify additional reactions, or to override the built-in

    mechanisms.

    ModelingData

    A key factor in the development of a successful simulation model is the use of accurate

    thermodynamic data for representing the physical properties of the system, and of kinetic

    rate constant data which provide a good match against observed trends.

    In order to provide the physical property models with the parameters necessary for

    property calculations, Polymers Plus has property parameter databanks available. These

    include:

    N

    Polymer databank containing parameters independent of chain length

    N

    Segment databank containing parameters to which composition and chain length are

    applied for polymer property calculations

    N

    Functional group databank containing parameters for models using a group contribution

    approach is also included

    This User Guide contains several tabulated parameters which may be used as starting

    values for specific property models. Property data packages are also being compiled for

    some polymerization processes and will be made available in future versions.

    In addition to physical property data, Polymers Plus provides users with ways of

    estimating missing reaction rate constant data. For example, the data regression tool can

    be used to fit rate constants against molecular weight data.

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    ProcessFlowsheeting

    Polymers Plus provides unit operation models, flowsheeting options, and analysis tools

    for a complete representation of a process.

    Models for batch, semi-batch and continuous reactors with mixing extremes of plug flow

    to backmix are available. In addition, other unit operation models essential for flowsheetmodeling are available such as:

    N

    Mixers

    N

    Flow splitters

    N

    Flash tanks

    N

    Devolatilization units

    Flowsheet connectivity and sequencing is handled in a straight forward manner.

    Several analysis tools are available for applying the simulation models developed. These

    include tools for:

    N

    Process optimization

    N

    Examining process alternatives as case studies

    N

    Analyzing the sensitivities of key process variables on polymer product properties

    N

    Fitting process variables to meet design specifications

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    DEFINING A MODEL IN POLYMERS PLUS

    In order to build a model of a polymer process you must already be familiar with AspenPlus. Therefore, only the steps specific to polymer systems will be described in detail later in

    this User Guide. The steps for defining a model in Polymers Plus are as follows:

    Step 1. Sp