Computational methods for process simulation:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Oxford [u.a.]
Butterworth-Heinemann
1997
|
| Edition: | 2. ed. |
| Series: | Chemical engineering
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | IX, 461 S. graph. Darst. |
| ISBN: | 075063541X |
Staff View
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Record in the Search Index
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CONTENTS
Preface 1
Acknowledgments 3
Introduction 5
Definition of the Problem 6
Mathematical Modeling of the Process 7
Equation Organization 7
Computation 7
Interpretation of Results 8
Limitations of Process Simulation 8
Usefulness of Process Simulation 8
Reference 9
Chapter 1: Development of Macroscopic Mass, Energy,
and Momentum Balances 11
1.1 Conservation of Total Mass 12
1.1.1 Tapered Tube Geometry 13
1.2 Conservation of Component i 14
1.3 Method of Working Problems 14
1.4 Conservation of Total Energy 19
1.4.1 Tapered Tube Geometry 22
1.5 Method of Working Problems 23
1.6 Mechanical Energy Balance 27
1.6.1 Tapered Tube Geometry 29
1.7 Conservation of Momentum 32
1.7.1 Tapered Tube Geometry 34
1.7.2 Comparison Between Mechanical Energy and
Momentum Balances 34
Problems 38
References 43
Chapter 2: Steady State Lumped Systems 45
2.1 Methods 46
2.1.1 Partitioning Equations 46
2.1.2 Tearing Equations 47
2.1.3 Simultaneous Solution 47
2.2 Simultaneous Solution of Linear Equations 47
2.2.1 MATLAB Software 53
2.2.2 Linear Algebra Routines in MATLAB 54
2.2.3 Other Matrix Capabilities in MATLAB 64
2.2.3.1 Singular Value Decomposition 64
2.2.3.2 The Pseudo Inverse 65
2.2.3.3 Sparse Matrices 66
2.3 Solution of Nonlinear Equations 67
2.3.1 Solving a Single Nonlinear Equation in One
Unknown 67
2.3.1.1 Half Interval (Bisection) 68
vi Computational Methods for Frocess Simulation
2.3.1.2 Linear Inverse Interpolation
(Regula Falsi) 70
2.3.1.3 Direct Substitution 73
2.3.1.4 Wegstein Method 75
2.3.1.5 Newton Method 80
2.3.2 Simultaneous Solution of Nonlinear Algebraic
Equations 82
2.4 Structural Analysis and Solution of Systems of
Algebraic Equations 87
2.4.1 The Functionality Matrix 88
2.4.2 An Optimal Solution Strategy 92
2.4.3 Simple Example of Structural Analysis 96
2.4.4 Computer Implementation of Structural Analysis. 99
2.4.5 Mixer Exchanger Mixer Design 101
2.4.5.1 Nomenclature for Mixer Exchanger
Mixer Design 106
Problems Ill
References 122
Chapter 3: Unsteady State Lumped Systems 125
3.1 Single Step Algorithms for Numerical Integration 125
3.1.1 Euler Method 125
3.1.2 Runge Kutta Methods 129
3.1.3 MATLAB Runge Kutta Routines 132
3.2 Basic Stirred Tank Modeling 135
3.3 Multistep Methods 141
3.4 Stirred Tanks with Flow Rates a Function of Level 144
3.5 Enclosed Tank Vessel 152
3.6 Stirred Tank with Heating Jacket 156
3.7 Energy Balances with Variable Properties 158
3.8 Tanks with Multicomponent Feeds 160
3.9 Stiff Differential Equations 162
3.10 Catalytic Fluidized Beds 164
Problems 167
References 176
Chapter 4: Reaction Kinetic Systems 177
4.1 Chlorination of Benzene 177
4.1.1 Order of Magnitude Analysis for Chlorination
of Benzene 179
4.2 Autocatalytic Reactions 182
4.3 Temperature Effects in Stirred Tank Reactors 184
4.3.1 Mathematical Modeling of a Laboratory
Stirred Tank Reactor 189
4.3.1.1 Experimental 189
4.3.1.2 Modeling 194
4.3.2 Dynamics of Batch Fermentation 198
Problems 209
(contents vn
References 216
Chapter 5: Vapor Liquid Equilibrium Operations 217
5.1 Boiling in an Open Vessel 217
5.2 Boiling in a Jacketed Vessel (Boiler) 218
5.3 Multicomponent Boiling—Vapor Liquid Equilibrium 227
5.4 Batch Distillation 229
5.5 Binary Distillation Columns 231
5.5.1 A Tray 233
5.5.2 The Reboiler 234
5.5.3 The Condenser 235
5.6 Multicomponent Distillation Columns 235
Problems 255
References 256
Chapter 6: Microscopic Balances 257
6.1 Conservation of Total Mass (Equation of Continuity) 257
6.2 Conservation of Component i 259
6.3 Dispersion Description 260
6.4 Method of Working Problems 263
6.5 Stagnant Film Diffusion 263
6.6 Conservation of Momentum (Equation of Motion) 264
6.7 Dispersion Description 266
6.8 Pipe Flow of a Newtonian Fluid 266
6.9 Development of Microscopic Mechanical Energy
Equation and Its Application 272
6.10 Pipeline Gas Flow 274
6.11 Development of Microscopic Thermal Energy Balance
and Its Application 275
6.12 Heat Conduction Through Composite Cylindrical Walls. .277
6.13 Heat Conduction with Chemical Heat Source 282
6.14 Mathematical Modeling for a Styrene Monomer
Tubular Reactor ! 283
6.14.1 Gas Phase Energy Balance 286
6.14.2 Catalyst Bed Energy Balance 290
6.14.3 Equation of Motion 291
6.14.4 Material Balances 292
6.14.5 Steady State Model Solution 292
Problems 297
References 303
Chapter 7: Solution of Split Boundary Value Problems . 305
7.1 Digital Implementation of Shooting Techniques:
Tubular Reactor with Dispersion 305
7.2 A Generalized Shooting Technique 311
7.3 Superposition Principle and Linear Boundary Value
Problems 316
7.4 Superposition Principle: Radial Temperature Gradients
in an Annular Chemical Reactor 320
viii Computational Methods for Process Simulation
7.5 Quasilinearization 322
7.6 Nonlinear Tubular Reactor with Dispersion:
Quasilinearization Solution 327
7.7 The Method of Adjoints 330
7.8 Modeling of Packed Bed Superheaters 334
7.8.1 Single Phase Fluid Flow Energy Balance 336
7.8.2 Two Phase Fluid Flow Energy Balance 339
7.8.3 Superheater Wall Energy Balance 340
7.8.4 Endcap Model 341
7.8.5 Boundary Conditions 343
7.8.6 Solution Method 344
7.8.7 Results 346
Problem 349
References 351
Chapter 8: Solution of Partial Differential Equations 353
8.1 Techniques for Convection Problems 353
8.2 Unsteady State Steam Heat Exchanger: Explicit
Centered Difference Problem 355
8.3 Unsteady State Countercurrent Heat Exchanger:
Implicit Centered Difference Problem 359
8.4 Techniques for Diffusive Problems 370
8.5 Unsteady State Heat Conduction in a Rod 372
8.6 Techniques for Problems with Both Convective and
Diffusion Effects: The State Variable Formulation 374
8.7 Modeling of Miscible Flow of Surfactant in Porous Media. 378
8.8 Unsteady State Response of a Nonlinear Tubular Reactor 382
8.9 Two Phase Flow Through Porous Media 392
8.10 Two Dimensional Flow Through Porous Media 400
8.11 Weighted Residuals 408
8.11.1 One Dimensional Heat Conduction 409
8.11.2 Two Dimensional Heat Conduction 412
8.11.3 Finite Elements 413
8.12 Orthogonal Collocation 414
8.12.1 Shifted Legendre Polynomials 414
8.12.2 Heat Conduction in an Insulated Bar 416
8.12.3 Jacobi Polynomials 418
8.12.4 Diffusion in Spherical Coordinates 420
8.12.5 Summary 423
Problems 423
References 430
Nomenclature 431
Appendix A: Analytical Solutions to Ordinary Differential
Equations 435
A.I First Order Equations 435
A.2 Nth Order Linear Differential Equations with
Constant Coefficients 440
Contents ix
Reference 444
Appendix B: MATLAB Reference Tables 445
Index 455 |
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| author_facet | Ramirez, W. F. |
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| edition | 2. ed. |
| format | Book |
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| institution | BVB |
| isbn | 075063541X |
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| spelling | Ramirez, W. F. Verfasser aut Computational methods for process simulation W. Fred Ramirez 2. ed. Oxford [u.a.] Butterworth-Heinemann 1997 IX, 461 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Chemical engineering Prozesssimulation (DE-588)4176077-3 gnd rswk-swf Computersimulation (DE-588)4148259-1 gnd rswk-swf Verfahrenstechnik (DE-588)4062781-0 gnd rswk-swf Chemische Verfahrenstechnik (DE-588)4069941-9 gnd rswk-swf Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Prozessanalyse (DE-588)4136607-4 gnd rswk-swf Verfahrenstechnik (DE-588)4062781-0 s Prozesssimulation (DE-588)4176077-3 s Numerisches Verfahren (DE-588)4128130-5 s DE-604 Chemische Verfahrenstechnik (DE-588)4069941-9 s Computersimulation (DE-588)4148259-1 s 1\p DE-604 2\p DE-604 Prozessanalyse (DE-588)4136607-4 s 3\p DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008177804&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Ramirez, W. F. Computational methods for process simulation Prozesssimulation (DE-588)4176077-3 gnd Computersimulation (DE-588)4148259-1 gnd Verfahrenstechnik (DE-588)4062781-0 gnd Chemische Verfahrenstechnik (DE-588)4069941-9 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Prozessanalyse (DE-588)4136607-4 gnd |
| subject_GND | (DE-588)4176077-3 (DE-588)4148259-1 (DE-588)4062781-0 (DE-588)4069941-9 (DE-588)4128130-5 (DE-588)4136607-4 |
| title | Computational methods for process simulation |
| title_auth | Computational methods for process simulation |
| title_exact_search | Computational methods for process simulation |
| title_full | Computational methods for process simulation W. Fred Ramirez |
| title_fullStr | Computational methods for process simulation W. Fred Ramirez |
| title_full_unstemmed | Computational methods for process simulation W. Fred Ramirez |
| title_short | Computational methods for process simulation |
| title_sort | computational methods for process simulation |
| topic | Prozesssimulation (DE-588)4176077-3 gnd Computersimulation (DE-588)4148259-1 gnd Verfahrenstechnik (DE-588)4062781-0 gnd Chemische Verfahrenstechnik (DE-588)4069941-9 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Prozessanalyse (DE-588)4136607-4 gnd |
| topic_facet | Prozesssimulation Computersimulation Verfahrenstechnik Chemische Verfahrenstechnik Numerisches Verfahren Prozessanalyse |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008177804&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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