Process modeling and simulation for chemical engineers: theory and practice
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Chichester, UK
John Wiley & Sons
[2017]
|
| Schlagworte: | |
| Online-Zugang: | FHA01 FHD01 FRO01 UBG01 Volltext Inhaltsverzeichnis |
| Beschreibung: | Includes bibliographical references and index Fundamental relations -- Constitutive relations -- Model formulation -- Model transformation -- Model simplification and approximation -- Process simulation -- Mathematical review |
| Beschreibung: | 1 online resource |
| ISBN: | 9781118914656 1118914651 9781118914670 1118914678 9781118914687 |
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Datensatz im Suchindex
| _version_ | 1804177519818047488 |
|---|---|
| adam_text | CONTENTS
Preface xiii
Notation xv
1 Introduction 1
1 1 System 1
111 Uniform System 2
112 Properties of System 2
113 Classification of System 3
114 Model 3
1 2 Process 3
121 Classification of Processes 4
122 Process Model 5
1 3 Process Modeling 6
131 Relations 7
132 Assumptions 7
133 Variables and Parameters 8
1 4 Process Simulation 9
141 Utility 9
142 Simulation Methods 10
1 5 Development of Process Model 11
1 6 Learning about Process 13
1 7 System Specification 14
Bibliography 16
Exercises 16
2 Fundamental Relations 17
2 1 Basic Form 17
211 Application 19
2 2 Mass Balance 21
V1H
221 Microscopic Balances 21
222 Equation of Change for Mass Fraction 23
2 3 Mole Balance 24
231 Microscopic Balances 24
232 Equation of Change for Mole Fraction 25
2 4 Momentum Balance 26
241 Convective Momentum Flux 27
242 Total Momentum Flux 28
243 Macroscopic Balance 29
244 Microscopic Balance 31
2 5 Energy Balance 33
251 Microscopic Balance 33
252 Macroscopic Balance 35
2 6 Equation of Change for Kinetic and Potential Energy 38
261 Microscopic Equation 38
262 Macroscopic Equation 40
2 7 Equation of Change for Temperature 41
271 Microscopic Equation 41
272 Macroscopic Equation 42
2 A Enthalpy Change from Thermodynamics 44
2 B Divergence Theorem 48
2 C General Transport Theorem 50
2 D Equations in Cartesian, Cylindrical and Spherical Coordinate Systems 53
2D1 Equations of Continuity 54
2D2 Equations of Continuity for Individual Species 54
2D3 Equations of Motion 55
2D4 Equations of Change for Temperature 56
Bibliography 57
Exercises 57
3 Constitutive Relations 59
3 1 Diffusion 59
311 Multicomponent Mixtures 60
3 2 Viscous Motion 60
321 Newtonian Fluids 61
322 Non-Newtonian Fluids 62
3 3 Thermal Conduction 63
3 4 Chemical Reaction 63
3 5 Rate of Reaction 65
IX
351 Equations of Change for Moles 66
352 Equations of Change for Temperature 67
353 Macroscopic Equation of Change for Temperature 69
3 6 Interphase Transfer 71
3 7 Thermodynamic Relations 72
3 A Equations in Cartesian, Cylindrical and Spherical Coordinate Systems 74
3A1 Equations of Continuity for Binary Systems 74
3A2 Equations of Motion for Newtonian Fluids 75
3A3 Equations of Change for Temperature 76
References 77
Bibliography 77
Exercises 78
4 Model Formulation 79
4 1 Lumped-Parameter Systems 80
411 Isothermal CSTR 80
412 Flow through Eccentric Reducer 83
413 Liquid Preheater 84
414 Non-Isothermal CSTR 87
4 2 Distributed-Parameter Systems 90
421 Nicotine Patch 90
422 Fluid Flow between Inclined Parallel Plates 93
423 Tapered Fin 96
424 Continuous MicroChannel Reactor 99
425 Oxygen Transport to Tissues 103
426 Dermal Heat Transfer in Cylindrical Limb 106
427 Solvent Induced Heavy Oil Recovery 108
428 Hydrogel Tablet 112
429 Neutron Diffusion 117
4 2 10 Horton Sphere 119
4 2 11 Reactions around Solid Reactant 122
4 3 Fluxes along Non-Linear Directions 127
431 Saccadic Movement of an Eye 128
4 A Initial and Boundary Conditions 131
4A1 Initial Condition 131
4A2 Boundary Condition 131
4A3 Periodic Condition 132
4 B Zero Derivative at the Point of Symmetry 133
4 C Equation of Motion along the Radial Direction in Cylindrical Coordinates 134
References 137
X
Exercises 137
5 Model Transformation 139
5 1 Transformation between Orthogonal Coordinate Systems 139
511 Scale Factors 139
512 Differential Elements 142
513 Vector Representation 143
514 Derivatives of Unit Vectors 144
515 Differential Operators 146
5 2 Transformation between Arbitrary Coordinate Systems 155
521 Transformation of Velocity 155
522 Transformation of Spatial Derivatives 156
523 Correctness of Transformation Matrices 156
5 3 Laplace Transformation 161
531 Examples 162
532 Properties of Laplace Transforms 164
533 Solution of Linear Differential Equations 168
5 4 Miscellaneous Transformations 178
541 Higher Order Derivatives 178
542 Scaling 178
543 Change of Independent Variable 179
544 Semi-Infinite Domain 179
545 Non-Autonomous to Autonomous Differential Equation 180
5 A Differential Operators in an Orthogonal Coordinate System 180
5A1 Gradient of a Scalar 180
5A2 Divergence of a Vector 181
5A3 Laplacian of a Scalar 184
5A4 Curl of a Vector 184
References 186
Bibliography 186
Exercises 186
6 Model Simplification and Approximation 189
6 1 Model Simplification 189
611 Scaling and Ordering Analysis 190
612 Linearization 193
6 2 Model Approximation 200
621 Dimensional Analysis 201
622 Model Fitting 204
6 A Linear Function 220
6 B Proof of Buckingham Pi Theorem 221
xi
6 C Newton’s Optimization Method 223
References 224
Bibliography 224
Exercises 225
7 Process Simulation 227
7 1 Algebraic Equations 227
711 Linear Algebraic Equations 227
712 Non-Linear Algebraic Equations 236
7 2 Differential Equations 241
721 Ordinary Differential Equations 242
722 Explicit Runge-Kutta Methods 242
723 Step-Size Control 246
724 Stiff Equations 247
7 3 Partial Differential Equations 253
731 Finite Difference Method 255
7 4 Differential Equations with Split Boundaries 263
741 Shooting Newton-Raphson Method 264
7 5 Periodic Differential Equations 268
751 Shooting Newton-Raphson Method 268
7 6 Programming of Derivatives 271
7 7 Miscellanea 274
771 Integration of Discrete Data 274
772 Roots of a Single Algebraic Equation 276
773 Cubic Equations 278
7 A Partial Pivoting for Matrix Inverse 281
7 B Derivation of Newton-Raphson Method 281
7B1 Quadratic Convergence 282
7 C General Derivation of Finite Difference Formulas 284
7C1 First Derivative, Centered Second Order Formula 285
7C2 Second Derivative, Forward Second Order Formula 286
7C3 Third Derivative, Mixed Fourth Order Formula 287
7C4 Common Finite Difference Formulas 289
References 291
Bibliography 291
Exercises 291
8 Mathematical Review 295
8 1 Order of Magnitude 295
XU
8 2 Big-0 Notation 295
8 3 Analytical Function 295
8 4 Vectors 296
841 Vector Operations 297
842 Cauchy-Schwarz Inequality 302
8 5 Matrices 302
851 Terminology 303
852 Matrix Operations 304
853 Operator Inequality 305
8 6 Tensors 306
861 Multilinearity 306
862 Coordinate-Independence 306
863 Representation of Second Order Tensor 307
864 Einstein or Index Notation 308
865 Kronecker Delta 310
866 Operations Involving Vectors and Second Order Tensors 310
8 7 Differential 318
871 Derivative 318
872 Partial Derivative and Differential 318
873 Chain Rule of Differentiation 319
874 Material and Total Derivatives 321
8 8 Taylor Series 322
881 Multivariable Taylor Series 323
882 First Order Taylor Expansion 323
8 9 L’Höpital’s Rule 326
8 10 Leibniz’s Rule 326
8 11 Integration by Parts 327
8 12 Euler’s Formulas 327
8 13 Solution of Linear Ordinary Differential Equations 327
8 13 1 Single First Order Equation 327
8 13 2 Simultaneous First Order Equations 328
Bibliography 332
Index
|
| any_adam_object | 1 |
| author | Upreti, Simant Ranjan |
| author_facet | Upreti, Simant Ranjan |
| author_role | aut |
| author_sort | Upreti, Simant Ranjan |
| author_variant | s r u sr sru |
| building | Verbundindex |
| bvnumber | BV044309187 |
| collection | ZDB-35-WIC ZDB-30-PQE |
| ctrlnum | (OCoLC)992552631 (DE-599)BVBBV044309187 |
| dewey-full | 660/.284401 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 660 - Chemical engineering |
| dewey-raw | 660/.284401 |
| dewey-search | 660/.284401 |
| dewey-sort | 3660 6284401 |
| dewey-tens | 660 - Chemical engineering |
| discipline | Chemie / Pharmazie |
| format | Electronic eBook |
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| id | DE-604.BV044309187 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:49:22Z |
| institution | BVB |
| isbn | 9781118914656 1118914651 9781118914670 1118914678 9781118914687 |
| language | English |
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| publishDate | 2017 |
| publishDateSearch | 2017 |
| publishDateSort | 2017 |
| publisher | John Wiley & Sons |
| record_format | marc |
| spelling | Upreti, Simant Ranjan Verfasser aut Process modeling and simulation for chemical engineers theory and practice Simant Ranjan Upreti Chichester, UK John Wiley & Sons [2017] 1 online resource txt rdacontent c rdamedia cr rdacarrier Includes bibliographical references and index Fundamental relations -- Constitutive relations -- Model formulation -- Model transformation -- Model simplification and approximation -- Process simulation -- Mathematical review Chemical processes / Data processing fast Chemical processes / Mathematical models fast SCIENCE / Chemistry / Industrial & Technical bisacsh TECHNOLOGY & ENGINEERING / Chemical & Biochemical bisacsh Chemie Datenverarbeitung Mathematisches Modell Chemical processes / Mathematical models Chemical processes / Data processing Chemische Verfahrenstechnik (DE-588)4069941-9 gnd rswk-swf Prozessoptimierung (DE-588)4176074-8 gnd rswk-swf Prozessmodell (DE-588)4237203-3 gnd rswk-swf Numerisches Modell (DE-588)4338132-7 gnd rswk-swf Chemischer Prozess (DE-588)4147636-0 gnd rswk-swf Simulation (DE-588)4055072-2 gnd rswk-swf Chemischer Prozess (DE-588)4147636-0 s Prozessmodell (DE-588)4237203-3 s Numerisches Modell (DE-588)4338132-7 s Simulation (DE-588)4055072-2 s 1\p DE-604 Chemische Verfahrenstechnik (DE-588)4069941-9 s Prozessoptimierung (DE-588)4176074-8 s 2\p DE-604 https://onlinelibrary.wiley.com/doi/book/10.1002/9781118914670 Verlag URL des Erstveröffentlichers Volltext HEBIS Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029712885&sequence=000001&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 |
| spellingShingle | Upreti, Simant Ranjan Process modeling and simulation for chemical engineers theory and practice Chemical processes / Data processing fast Chemical processes / Mathematical models fast SCIENCE / Chemistry / Industrial & Technical bisacsh TECHNOLOGY & ENGINEERING / Chemical & Biochemical bisacsh Chemie Datenverarbeitung Mathematisches Modell Chemical processes / Mathematical models Chemical processes / Data processing Chemische Verfahrenstechnik (DE-588)4069941-9 gnd Prozessoptimierung (DE-588)4176074-8 gnd Prozessmodell (DE-588)4237203-3 gnd Numerisches Modell (DE-588)4338132-7 gnd Chemischer Prozess (DE-588)4147636-0 gnd Simulation (DE-588)4055072-2 gnd |
| subject_GND | (DE-588)4069941-9 (DE-588)4176074-8 (DE-588)4237203-3 (DE-588)4338132-7 (DE-588)4147636-0 (DE-588)4055072-2 |
| title | Process modeling and simulation for chemical engineers theory and practice |
| title_auth | Process modeling and simulation for chemical engineers theory and practice |
| title_exact_search | Process modeling and simulation for chemical engineers theory and practice |
| title_full | Process modeling and simulation for chemical engineers theory and practice Simant Ranjan Upreti |
| title_fullStr | Process modeling and simulation for chemical engineers theory and practice Simant Ranjan Upreti |
| title_full_unstemmed | Process modeling and simulation for chemical engineers theory and practice Simant Ranjan Upreti |
| title_short | Process modeling and simulation for chemical engineers |
| title_sort | process modeling and simulation for chemical engineers theory and practice |
| title_sub | theory and practice |
| topic | Chemical processes / Data processing fast Chemical processes / Mathematical models fast SCIENCE / Chemistry / Industrial & Technical bisacsh TECHNOLOGY & ENGINEERING / Chemical & Biochemical bisacsh Chemie Datenverarbeitung Mathematisches Modell Chemical processes / Mathematical models Chemical processes / Data processing Chemische Verfahrenstechnik (DE-588)4069941-9 gnd Prozessoptimierung (DE-588)4176074-8 gnd Prozessmodell (DE-588)4237203-3 gnd Numerisches Modell (DE-588)4338132-7 gnd Chemischer Prozess (DE-588)4147636-0 gnd Simulation (DE-588)4055072-2 gnd |
| topic_facet | Chemical processes / Data processing Chemical processes / Mathematical models SCIENCE / Chemistry / Industrial & Technical TECHNOLOGY & ENGINEERING / Chemical & Biochemical Chemie Datenverarbeitung Mathematisches Modell Chemische Verfahrenstechnik Prozessoptimierung Prozessmodell Numerisches Modell Chemischer Prozess Simulation |
| url | https://onlinelibrary.wiley.com/doi/book/10.1002/9781118914670 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029712885&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT upretisimantranjan processmodelingandsimulationforchemicalengineerstheoryandpractice |