Mathematical theory of transport processes in gases:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Amsterdam
North-Holland Publ. Co.
1972
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIII, 579 S. graph. Darst. |
| ISBN: | 0720420466 044410352X |
Staff View
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| 245 | 1 | 0 | |a Mathematical theory of transport processes in gases |c Joel H. Ferziger ; H. G. Kaper* |
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Record in the Search Index
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| adam_text | Contents
Preface xi
1. Introduction 1
1.1. Kinetic theory of transport processes 1
1.2. Historical summary 3
2. Properties of a gas 9
2.1. Basic definitions Distribution functions and average properties 10
2.2. Flux vectors 13
2.3. Gas mixtures 16
2.4. Collision frequency, mean free path 19
3. Boltzmann s equation 22
3.1. Classical derivation of Boltzmann s equation 24
3.2. The Liouville equation and the BBGKY hierarchy 32
3.3. Cluster expansion of the distribution functions 39
3.4. Functional relation between Fx and F2 46
3.5. The collision operator 49
3.6. Concluding remarks 56
4. Fundamental properties of Boltzmann s equation 60
4.1. Macroscopic conservation equations 62
4.2. Boltzmann s .ff theorem 68
4.3. Maxwell s velocity distribution function 76
4.4. Boundary conditions 77
VIII CONTENTS
4.5. The /f theorem for bounded systems 79
4.6. The linearized Boltzmann equation 86
4.7. Integral theorems; /(F), [F, G] 93
4.8. Existence theory for the linearized Boltzmann equation 97
5. The non uniform state of a simple gas 107
5.1. Hilbert s uniqueness theorem 109
5.2. Chapman Enskog method 115
5.3. Zero order approximation to / 122
5.4. First order approximation to/ 123
5.5. Sonine polynomials; a variational principle 131
5.6. Evaluation of rj and A 134
5.7. Kihara approximation 139
5.8. Second order approximation to / 143
5.9. Order of magnitude estimates 151
5.10. The relation between the Boltzmann equation and the equations of fluid
dynamics 153
6. The non uniform state of a gas mixture 163
6.1. Chapman Enskog method 163
6.2. Zero order approximation 169
6.3. First order approximation 170
6.4. Evaluation of the multicomponent transport coefficients 179
6.5. The case of a binary mixture. Self diffusion 188
6.6. The Lorentz gas 191
6.7. Phenomenological theory of transport coefficients 196
7. The transport coefficients 201
7.1. Reduction of the integrals [S^1^2)^, S^1 ^2)«1 and [W i1?2/,
V g~W2l] 202
7.2. Expressions for some of the bracket integrals 208
7.3. Explicit expressions for the transport coefficients 211
8. Intermolecular forces and atomic collisions 230
8.1. Forces between monatomic molecules 232
8.2. Forces between polyatomic molecules 234
8.3. Forces in systems containing charged particles 236
8.4. Model potentials 237
8.5. Combination rules 244
CONTENTS IX
9. Calculation of transport properties for specific models 246
9.1. Dynamics of binary collisions 246
9.2. The ^ integrals for model potentials 249
9.3. Quantum mechanical calculations 259
10. Comparison of theory and experiment Noble gases and their mixtures 265
10.1. Curve fitting procedures and sensitivity of parameters to data 266
10.2. Convergence of the Sonine polynomial expansions 270
10.3. Transport properties of the noble gases 274
10.4. Noble gas mixtures Diffusion and thermal diffusion 279
10.5. Noble gas mixtures Viscosity and thermal conductivity 288
11. Polyatomic gases 299
11.1. Viscosity The effect of asymmetric potentials 301
11.2. Thermal conductivity The Eucken correction 307
11.3. Classical and quasi classical treatment of polyatomic gases 312
11.4. Quantum mechanical effects 330
11.5. The Senftleben Beenakker effect 351
12. Dense gases Enskog s theory 356
12.1. Enskog s equation 357
12.2. Flux vectors 360
12.3. Macroscopic conservation equations 362
12.4. Zero order approximation 364
12.5. First order approximation 365
12.6. Application of Enskog s results 370
13. Dense gases General theory 376
13.1. The generalized Boltzmann equation and the macroscopic conservation
equations 377
13.2. Solution of the generalized Boltzmann equation 387
13.3. The case of a moderately dense gas The Choh Uhlenbeck theory 402
13.4. Difficulties in the theory of dense gases 417
14. Ionized gases 423
14.1. Debye shielding 427
14.2. The Chapman Enskog method for an ionized gas 429
X CONTENTS
14.3. Results for binary mixtures of ionized gases 451
14.4. Non equilibrium ionized gases 456
15. Dynamics of rarefied gases 464
15.1. The linearized Boltzmann equation Models and boundary conditions 465
15.2. The slip flow problem 472
15.3. Non linear problems 483
Appendix A. Vectors and tensors 491
Appendix B. Reduction of bracket integrals 501
Appendix C. Tables of transport integrals 510
Appendix D. Evaluation of certain integrals in Enskog s theory of dense gases 536
Appendix E. Evaluation of the flux vectors in dense gases 543
References 550
List of symbols 560
Author index 565
Subject index 569
|
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| dewey-ones | 533 - Pneumatics (Gas mechanics) |
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| dewey-tens | 530 - Physics |
| discipline | Physik |
| format | Book |
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| id | DE-604.BV002284756 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T15:43:22Z |
| institution | BVB |
| isbn | 0720420466 044410352X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001501550 |
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| physical | XIII, 579 S. graph. Darst. |
| publishDate | 1972 |
| publishDateSearch | 1972 |
| publishDateSort | 1972 |
| publisher | North-Holland Publ. Co. |
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| spelling | Ferziger, Joel H. 1937-2004 Verfasser (DE-588)115525319 aut Mathematical theory of transport processes in gases Joel H. Ferziger ; H. G. Kaper* Amsterdam North-Holland Publ. Co. 1972 XIII, 579 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Gassen gtt Gaz, Théorie cinétique des Statistische mechanica gtt Transportverschijnselen gtt Kinetic theory of gases Transport theory Transportprozess (DE-588)4185932-7 gnd rswk-swf Gas (DE-588)4019320-2 gnd rswk-swf Gas (DE-588)4019320-2 s Transportprozess (DE-588)4185932-7 s DE-604 Kaper, H. G. Verfasser aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001501550&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ferziger, Joel H. 1937-2004 Kaper, H. G. Mathematical theory of transport processes in gases Gassen gtt Gaz, Théorie cinétique des Statistische mechanica gtt Transportverschijnselen gtt Kinetic theory of gases Transport theory Transportprozess (DE-588)4185932-7 gnd Gas (DE-588)4019320-2 gnd |
| subject_GND | (DE-588)4185932-7 (DE-588)4019320-2 |
| title | Mathematical theory of transport processes in gases |
| title_auth | Mathematical theory of transport processes in gases |
| title_exact_search | Mathematical theory of transport processes in gases |
| title_full | Mathematical theory of transport processes in gases Joel H. Ferziger ; H. G. Kaper* |
| title_fullStr | Mathematical theory of transport processes in gases Joel H. Ferziger ; H. G. Kaper* |
| title_full_unstemmed | Mathematical theory of transport processes in gases Joel H. Ferziger ; H. G. Kaper* |
| title_short | Mathematical theory of transport processes in gases |
| title_sort | mathematical theory of transport processes in gases |
| topic | Gassen gtt Gaz, Théorie cinétique des Statistische mechanica gtt Transportverschijnselen gtt Kinetic theory of gases Transport theory Transportprozess (DE-588)4185932-7 gnd Gas (DE-588)4019320-2 gnd |
| topic_facet | Gassen Gaz, Théorie cinétique des Statistische mechanica Transportverschijnselen Kinetic theory of gases Transport theory Transportprozess Gas |
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