Ferziger J.H., Kaper H.G. — Mathematical theory of transport processes in gases :: Электронная библиотека попечительского совета мехмата МГУ

Главная Ex Libris Книги Журналы Статьи Серии Каталог Wanted Загрузка ХудЛит Справка Поиск по индексам Поиск Форум

Авторизация

Поиск по указателям

Ferziger J.H., Kaper H.G. — Mathematical theory of transport processes in gases

Обсудите книгу на научном форуме

Нашли опечатку?
Выделите ее мышкой и нажмите Ctrl+Enter

Название: Mathematical theory of transport processes in gases

Авторы: Ferziger J.H., Kaper H.G.

Аннотация:

The present book offers a more or less complete theory for deriving transport properties of gases from first principles - that is, in terms of the intermolecular potentials which determine the forces between any two molecules in the gas. Both neutral gases and ionized gases are discussed, and, for the neutral gases, the theory of monatomic as well as polyatomic gases is covered. The principal results of these investigations are based on Boltzmann's equation for a dilute gas; however, extensions into the areas of dense gases and rarefied gases are also given.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1972

Количество страниц: 568

Добавлена в каталог: 07.04.2019

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

Предметный указатель

${\Gamma}$ -Space      33 70
${\Omega}$ -Integral, averaged, for asymmetric molecules      305
${\Omega}$ -Integral, definition of      205
${\Omega}$ -Integral, expressions for model potentials, attractive-repulsive model      252—259
${\Omega}$ -Integral, expressions for model potentials, point center of repulsion model      250—252
${\Omega}$ -Integral, expressions for model potentials, rigid sphere model      207 249—250
${\Omega}$ -Integral, expressions for model potentials, truncated Coulomb potential model      452 453
${\Omega}$ -Integral, quantum mechanical calculation of      259—264
${\Omega}$ -Integral, recursion relation for      206
${\Omega}$ -Integral, reduced      see "Transport integral ratios"
${\Omega}$ -Integral, reduced, definition of      207
${\Omega}$ -Integral, reduced, tables for model potentials, Lennard — Jones potential      522—525
${\Omega}$ -Integral, reduced, tables for model potentials, modified Buckingham (6-exp) potential      511—519
${\Omega}$ -Integral, reduced, tables for model potentials, Morse potential      534—535
${\Omega}$ -Integral, reduced, tables for model potentials, Stockmayer potential      522—525
${\Omega}$ -Integral, reduced, tables for model potentials, Stockmayer potential, orientation averaged      526—527
${\Omega}$ -Integral, tables of bracket integrals in terms of      208—212
${\Omega}$ -Integral, temperature dependence of      255
Accomodation coefficient      469 471
Afanas'ev, A. M.      334 554
Alternating symbol      340 493
Amagat      372
Anderson, D. G.      486 550
Angular momentum, density      334 336 337
Angular momentum, flux tensor, definition of      336
Angular momentum, flux tensor, expression for polyatomic gas      346
Angular momentum, operator      335
Apse-line      357
Asymmetric potential, effect of, on transport properties      301-307
Attractive-repulsive model potential, ${\Omega}$ -integrals for      252-259
Average molecular velocity      12 17
Average molecular velocity, distinguished from hydrodynamic velocity      12 17
Average value of a function of molecular velocity, definition of, for gas mixture      17
Average value of a function of molecular velocity, definition of, for polyatomic gas      335
Average value of a function of molecular velocity, definition of, for simple gas      13
Avogadro's number      16
Axial vector      see "Pseudovector"
Barometric equation      85
Barua, A. K.      305 550
BBGKY-hierarchy      36—38 56 377
Beenakker, J. J. M.      7 351—353 375 550 552
BGK-model of collision operator, linearized      467 473
BGK-model of collision operator, non-linear      484
Bhatnagar, P. L.      467 550
Binary collisions      see "Collisions"
Binary diffusion coefficient, thermal diffusion coefficient, etc.      see "Diffusion coefficient" "Thermal etc.
Bird, G. A.      488 550
Bird, R. B.      176 207 233 238 251 253 256—259 262 304 371 372 554
Bogoliubov, N. N.      6 22 36 550
Boltzmann's constant      12
Boltzmann's equation, derivation of, classical      24—32
Boltzmann's equation, derivation of, from Liouville equation      32—56
Boltzmann's equation, for gas mixture      31
Boltzmann's equation, for ionized gas      430
Boltzmann's equation, for simple gas      31 59
Boltzmann's equation, generalized, for dense gas      380
Boltzmann's equation, linearized      87 465
Boltzmann's equation, relation with equations of fluid dynamics      153—162 see "Waldmann "Wang
Boltzmann's H-function, H-theorem      see "H-function" "H-theorem"
Boltzmann, L.      4 22 69 550
Born, M.      36 550
boundary conditions      77—79 see
Boundary conditions, matching of, across boundary layer      159—162
Boundary layer      154 158
Bracket integrals, for gas mixture, definition of, in terms of partial bracket integrals      96
Bracket integrals, for gas mixture, partial, definition of      95
Bracket integrals, for gas mixture, partial, expression in terms of ${\Omega}$ -integrals      209—212
Bracket integrals, for gas mixture, partial, reduction of      502—508
Bracket integrals, for polyatomic gas, approximate expression in terms of ${\Omega}$ -integrals      325—326
Bracket integrals, for polyatomic gas, reduction of      321 322 324
Bracket integrals, for simple gas, definition of      94
Bracket integrals, for simple gas, expression in terms of ${\Omega}$ -integrals      208—209
Bracket integrals, for simple gas, reduction of      202—207 508—509
Brokaw, R. S.      274 291 292 294 296 297 550 557
Bruch, L. W.      243 550
Brush, S. G.      4 550
Buddenberg, J. G.      292 551
Bulk viscosity, coefficient of, for dense gas, Choh — Uhlenbeck formula      416
Bulk viscosity, coefficient of, for dense gas, Enskog's formula      369 371
Bulk viscosity, coefficient of, for dense gas, general formula      401
Bulk viscosity, coefficient of, for polyatomic gas, quantum mechanical formula      345
Bulk viscosity, coefficient of, for polyatomic gas, quasi-classical formula      319 322 325
Bulk viscosity, coefficient of, for polyatomic gas, relation with relaxation time      323
Burgers, J. M.      483 551
Burnett equations      150—151
Burnett, D.      5 131 139 143 147 239 551
Caloric equation      390 391
Carleman, T.      5 153 154 551
Case, K. M.      474 551
Center-of-mass velocity      26
Cercignani, C.      97 154 465 472 474 551
Chahine, M. T.      486 555
Chaos, F.      6 387 390 395 396 398 553
Chapman — Cowling approximation      134—139 see "Thermal "Thermal "Viscosity"
Chapman — Enskog approximation      see "Current density" "Diffusion "Heat "Velocity
Chapman — Enskog method, for solving Boltzmann's equation, for gas mixture      163—169
Chapman — Enskog method, for solving Boltzmann's equation, for ionized gas      429—440
Chapman — Enskog method, for solving Boltzmann's equation, for Lorentz gas      191—193
Chapman — Enskog method, for solving Boltzmann's equation, for simple gas      115—121
Chapman — Enskog method, for solving Boltzmann's equation, relation with Hilbert’s method      121—122
Chapman — Enskog method, for solving Enskog's equation      364—367
Chapman — Enskog method, for solving generalized Boltzmann equation      387—398
Chapman — Enskog method, for solving Waldmann — Snider equation      334—339
Chapman — Enskog method, for solving Wang Chang — Uhlenbeck equation      314—318
Chapman, S.      5 115 139 140 143 175 207 252 271 312 328 329 370 537 551
Charge density      431
Chmieleski, R. M.      458 551
Choh — Uhlenbeck theory, for moderately dense gas      408—417 422
Choh, S. T.      6 407 557
Cluster expansion method      39—46
Cluster property      41
Coefficient of thermal conductivity, of viscosity, etc.      see "Thermal conductivity" "Viscosity" etc.
Cohen, E. G. D.      6 23 50 275 403 407 417 419 421 557 552
Collision cylinder      29
Collision frequency      19 20 199—200 468 484
Collision operator      see "Linearized collision operator"
Collision operator, for Boltzmann's equation      49—56 62 164
Collision operator, for Enskog's equation      357—359
Collision operator, for generalized Boltzmann equation      377—380
Collision operator, for linearized Boltzmann equation      87—93 465—466
Collision operator, for Waldmann — Snider equation      333—334
Collision operator, for Wang Chang — Uhlenbeck equation      313—314
Collision variables, geometrical      26 see
Collisional (or summational) invariants      65 116 164 316 361
Collisional transfer      360 386
Collisions, binary, dynamics of      25—26 246—248
Collisions, direct and inverse      30 313 328
Collisions, elastic, Liouville's law for      27
Collisions, inelastic      313 325
Collisions, maximum number of, between three rigid spheres      403
Collisions, orbiting      52 255
Collisions, real, hypothetical, interacting and noninteracting      405
Collisions, sequences of binary collisions      402—406 417—418
Combination rules      see "Mixing rules"
Compressibility, isothermal      373 393
Conduction of electricity, heat, etc.      see "Electrical conductivity" "Heat etc.
Conductivity, electrical      see "Electrical conductivity"
Conservation      see "Collisional invariants"
Conservation equations, for dense gas      364 382—386
Conservation equations, for ionized gas      431—433 457
Conservation equations, for monatomic gas      66—67
Conservation equations, for polyatomic gas      314—315 335 337
Conservation, of angular momentum      334
Conservation, of mass, momentum, and energy      25
Constitutive equations      68 see Fourier's Newton's Ohm's
Contraction, of description of the state of a gas      56 108
Contraction, of tensor      495
Convergence, of Sonine polynomial expansions      195 270—274
Coope, J. A. R.      552
Coremans, J. M. J.      375 552

Corngold, N.      467 557
Correlations, initial      47 52 407 419
Corresponding states, law of      259 276 281
Cotter, J. R.      116 552
Couette flow      473
Coulomb potential      252 429
Coulomb potential, transport integrals      451—453
Courant, R.      93 467 552
Covolume      370 373
Cowling, T. G.      139 140 143 207 251 252 271 290 312 328 329 370 537 557 552
Cross section      see "Transport cross section"
Cross section, for elastic collisions      31
Cross section, for inelastic collisions      313
Cross section, quantum mechanical calculation of      260—263
Cross section, reciprocity relation for      313
Cross section, relation of, to quantum mechanical scattering operator      334
Current density, electric, Chapman — Enskog approximation      442 463
Current density, electric, definition of      432
Curtiss, C. F.      176 207 229 233 238 251 253 256—259 262 304 312 371 372 552 554 556
Curtiss, J.      176 552
Curve fitting procedures      266—267
Cut-off, angular and radial      93 429
Cyclotron frequency      see "Gyrofrequency Cyclotron radius" "Gyromagnetic
Dahler, J. S.      312 350 370 552 556
Darrozes, J. S.      79 159 552
Davies, T. V.      159 552
De Boer, J.      7 256 314 552
de Groot, S. R.      176 340 349 351 450 552
Debye length      428 430
Debye shielding      425 427—429
Debye sphere      453
Deflection angle, definition of      28
Deflection angle, expressed in terms of intermolecular potential      248
Deflection angle, expressions for model potentials, attractive-repulsive model      254
Deflection angle, expressions for model potentials, point center of repulsion model      250
Deflection angle, expressions for model potentials, rigid sphere model      249
Deflection angle, expressions for model potentials, truncated Coulomb potential model      451 453
Dense gas, Choh — Uhlenbeck theory      407—417
Dense gas, Enskog's theory      356—375
Dense gas, general theory      377—401 417—422
density      see "Mass density"
Density matrix      332
Diffuse reflection      469
Diffusion      see "Thermal diffusion"
Diffusion coefficient, for binary gas mixture, calculated from mixture viscosity and thermal conductivity data      295—296 298
Diffusion coefficient, for binary gas mixture, Chapman — Cowling approximation      219—220
Diffusion coefficient, for binary gas mixture, comparison of theory and experiment      280—285
Diffusion coefficient, for binary gas mixture, convergence of Chapman — Cowling and Kihara approximations      280
Diffusion coefficient, for binary gas mixture, definition of      189
Diffusion coefficient, for binary gas mixture, Kihara approximation      220—221
Diffusion coefficient, for binary gas mixture, phenomenological formula      198
Diffusion coefficient, for binary gas mixture, sensitivity to potential parameters      269
Diffusion coefficient, for gas mixture, Chapman — Cowling approximation      187 217—219
Diffusion coefficient, for gas mixture, Chapman — Enskog formula      174
Diffusion coefficient, for ionized gas, Chapman — Enskog formula      442
Diffusion coefficient, for ionized gas, parallel and transverse diffusion      442
Diffusion coefficient, for Lorentz gas, Chapman — Enskog formula      194
Diffusion coefficient, for Lorentz gas, convergence of Chapman — Cowling and Kihara approximations      272 280
Diffusion coefficient, for self-diffusion, Chapman — Cowling approximation      221
Diffusion coefficient, for self-diffusion, comparison of theory and experiment      276
Diffusion coefficient, for self-diffusion, convergence of Chapman — Cowling approximation      271
Diffusion coefficient, for self-diffusion, definition of      190
Diffusion coefficient, for self-diffusion, Kihara approximation      221
Diffusion coefficient, for self-diffusion, phenomenological formula      198
Diffusion driving force      171 435 460
Diffusion heat flow      179
Diffusion velocity, Chapman — Enskog approximation, for binary gas mixture      189
Diffusion velocity, Chapman — Enskog approximation, for gas mixture      169 174
Diffusion velocity, Chapman — Enskog approximation, for ionized gas      442
Diffusion velocity, Chapman — Enskog approximation, for Lorentz gas      194
Diffusion velocity, definition of      18
Diffusion, phenomenological theory of      198
Diffusion, self-diffusion      190—191
Dilatation viscosity      see "Bulk viscosity"
Dipole moment, induced and permanent      232 235
Direct collision      see "Collisions"
Dispersion force      233
Distribution function, in ${\Gamma}$ -space      33
Distribution function, one-particle      36
Distribution function, reduced (or s-particle)      36 56
Distribution function, velocity      see "Velocity distribution function"
Divergence, logarithmic, of density expansion      421—422
Divergence, of transport integrals, for Coulomb potential      252 451—452
Dootson, F. W.      175 557
Dorfman, J. R.      6 403 407 419 421 422 552 554
Dorfman, R.      93 552
Dyadic      497
Dymond, J. H.      241 552
Effect, electro-thermal or inverse thermo-electric      see "Electro-thermal effect"
Effective potential      253
electric field      see "Diffusion driving force"
Electric field, effect on transport properties of ionized gas      444
Electric field, effect on transport properties of polyatomic gas      352
Electric field, induced      232
Electrical conductivity, for ionized gas, Chapman — Cowling approximation for binary mixture      454
Electrical conductivity, for ionized gas, Chapman — Enskog formula      443
Electro-thermal coefficient, for ionized gas, Chapman — Cowling approximation for binary mixture      454—455
Electro-thermal coefficient, for ionized gas, Chapman — Enskog formula      443
Electro-thermal effect      443
Ellipsoidal molecule      312
Energy      see "Internal energy" "Kinetic "Potential "Rotational
Enskog's equation, for dense gas      359
Enskog, D.      5 6 64 88 107 115 116 131 175 356 552 553
entropy      133 179
Entropy, connection with Boltzmann's H-function      75
Epstein, M.      470 553
Equation of state      16 391
Equations of change(or transfer) of molecular properties      64
Equations of continuity, motion, and energy      see "Conservation equations"
Equilibrium solution, of Boltzmann's equation, for ionized gas      434 459
Equilibrium solution, of Boltzmann's equation, for monatomic gas      73—74 122 169
Equilibrium solution, of Enskog's equation      364
Equilibrium solution, of generalized Boltzmann equation      389
Equilibrium solution, of Waldmann — Snider equation      336
Equilibrium solution, of Wang Chang — Uhlenbeck equation      316
Equipartition of energy      75
Ernst, M. H.      390 421 553 554
Eucken correction      308—310
Eucken ratio      see "Eucken's theory of heat conduction"
Eucken ratio, Chapman — Cowling approximation      216—217
Eucken ratio, comparison of theory and experiment      274
Eucken ratio, definition of      216
Eucken ratio, for polyatomic gas      327
Eucken's theory of heat conduction      307—311
Eucken, E.      7 307 553
Euler equations, for dense gas      391
Euler equations, for gas mixture      170
Euler equations, for simple gas      112 123
Existence theory, for Boltzmann's equation      153—154
Existence theory, for linearized Boltzmann equation      97—106
External force      24 35 377
External force, influence of, on diffusion      see "Diffusion driving force"
Ferziger, J. H.      86 161 458 468 488 551 553 555 557
Fick's law, of diffusion      68
Fifth power law      see "Maxwell molecules"
Fluid dynamics, connection with kinetic theory      153—162
Flux vector of molecular properties, for dense gas      361
Flux vector of molecular properties, for gas mixture      18
Flux vector of molecular properties, for simple gas      14
Fokker — Planck equation, for ionized gas      425
force      see "External force" "Intermolecular "Lorentz
Ford, G. W.      23 252 558
Fourier's law, of heat conduction      68 131 399
Free energy      101
Free molecule flow      464
Frieman, E. A.      23 51 421 553
Functional assumption, Bogoliubov's      380 402
Functional assumption, Bogoliubov's, validity of      419—422
Functional relation, between one- and two- particle distribution functions      46—49 57 378—380
Furry, W. H.      226 553

1 2 3

О проекте