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Àâòîðèçàöèÿ |
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Ïîèñê ïî óêàçàòåëÿì |
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Ferziger J.H., Kaper H.G. — Mathematical theory of transport processes in gases |
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Ïðåäìåòíûé óêàçàòåëü |
Ratio, conductivity to viscosity see "Eucken ratio"
Reciprocity relation, for cross sections 313 see direct
Reciprocity relations, for transport properties see "Onsager relations"
Reduced, impact parameter 252
Reduced, intermolecular distance 252
Reduced, intermolecular potential energy 252
Reduced, mass of a system of two molecules 205
Reduced, molecular mass 247
Reduced, relative kinetic energy 252
Reduced, temperature 252
Relative velocity 26
Relaxation time 323 326 327
Resummation 420
Rigby, M. 241 552
Rigid sphere model potential 206 239
Rigid sphere model potential, -integrals for 207 249—250
Rosenbluth, M. N. 424 557
Ross, J. 375 555
Rostocker, N. 424 557
Rotational diffusion coefficients 350
Rotational energy 328 331
Rough sphere 312 329—330
Sandler, S. I. 196 370 556
Sandri, G. 23 116 556 557
Saran, A. 305 550
Saxena, S. C. 294 296 553 556
Scalar product, of tensors 497
Scalar product, of vectors 492
Scattering angle see "Deflection angle Self-diffusion coefficient" "Diffusion
Scharf, G. 97 557
Schiff, L. I. 260 557
Segal, B. M. 487 488 557
Semi-group, infinitesimal generator of 99
Senftleben, H. 351 557
Senftleben-Beenakker effect 331 351—355
Sengers, J. V. 372-374 403 406 416 421 557
Shapiro, A. 485 557
Shapiro, C. S. 468 557
Shear stress 15
Shear viscosity see "Viscosity"
Shock layer 154 158 see
Shock wave 484—490
Simon, A. 424 557
Singh, Y. 305 550
Slip flow problem 472—483
Slip, boundary, initial, and shock 159
Smith, F. J. 241 259 262 277 286—288 533 552 556 557
Snider, R. F. 7 134 332 334 337 340 342 552 556 557
Soft molecule 239
Solubility, of Hilbert — Chapman — Enskog integral equations 111—113 118—119 166—167
Sonine polynomials 131—132
Specific heat 198 215 338 393
Specular reflection 469
Spherocylinder 312
Spitzer, L. 430 557
Stefan, J. 4
Stockmayer model potential 243 304
Stockmayer model potential, orientation averaged 304—305
Stockmayer model potential, orientation averaged, parameters for various gases, numerical table 306
Stockmayer model potential, orientation averaged, transport integral ratios, numerical tables 528—532
Stockmayer model potential, orientation averaged, transport integrals, numerical tables 526—527
Stockmayer model potential, transport integrals, numerical tables 522—525
Stokes relation 319
Stokes, G. G. 150 558
Storvick, T. S. 296 298 558
Stosszahlansatz 28 29 50 69 see "Molecular
Streaming operator 46 47 378 379
Streaming part, of Boltzmann's equation 62 164
Struminskii, V. V. 115 558
Su, C. H. 161 558
Substantial (or material) derivative 66 121 168
Summation convention, EINSTEIN'S 492
Summational invariants see "Collisional invariants"
Sutherland's model potential 240
Sutherland, W. 240 558
Taxman, N. 312 328 558
Taylor, W. L. 278 279 285 554
Temperature dependence, of transport properties 250 251 255
Temperature, definition of, for dense gas 390
Temperature, definition of, for gas mixture 19
Temperature, definition of, for simple gas 12
Tensor, algebra 494—498
Tensor, calculus 498—500
Tensor, definition of 494
Tensor, irreducible 341
Tensor, isotropic 344 495
Thermal conduction see "Heat conduction"
Thermal conductivity, coefficient of, for binary mixture of ionized gases, Chapman — Cowling approximation 454
Thermal conductivity, coefficient of, for dense gas, Chapman — Enskog formula, Choh — Uhlenbeck theory 415—416
Thermal conductivity, coefficient of, for dense gas, Chapman — Enskog formula, Enskog's theory 369 370 371
Thermal conductivity, coefficient of, for dense gas, Chapman — Enskog formula, general theory 399—400
Thermal conductivity, coefficient of, for dense gas, comparison of theory and experiment 373—374
Thermal conductivity, coefficient of, for gas mixture, Chapman — Cowling approximation 188 228—229
Thermal conductivity, coefficient of, for gas mixture, Chapman — Enskog formula 178—179
Thermal conductivity, coefficient of, for gas mixture, comparison of theory and experiment 294 297
Thermal conductivity, coefficient of, for gas mixture, Wassiljewa approximation 290—294
Thermal conductivity, coefficient of, for ionized gas, Chapman — Enskog formula 445
Thermal conductivity, coefficient of, for ionized gas, parallel and transverse thermal conductivity 444
Thermal conductivity, coefficient of, for Lorentz gas, Chapman — Enskog formula 195
Thermal conductivity, coefficient of, for Lorentz gas, convergence of Chapman — Cowling and Kihara approximations 271—273
Thermal conductivity, coefficient of, for polyatomic gas, approximate formulae, classical 329—330
Thermal conductivity, coefficient of, for polyatomic gas, approximate formulae, quasi-classical 325 327
Thermal conductivity, coefficient of, for polyatomic gas, Chapman — Cowling approximation, quasi-classical 324
Thermal conductivity, coefficient of, for polyatomic gas, Chapman — Enskog formula, quantum mechanical 349
Thermal conductivity, coefficient of, for polyatomic gas, Chapman — Enskog formula, quasi-classical 319
Thermal conductivity, coefficient of, for polyatomic gas, Eucken's theory 307—312
Thermal conductivity, coefficient of, for simple gas, Chapman — Cowling approximation 138—139 214—216
Thermal conductivity, coefficient of, for simple gas, Chapman — Enskog formula 130—131
Thermal conductivity, coefficient of, for simple gas, convergence of Chapman — Cowling and Kihara approximations 271—273
Thermal conductivity, coefficient of, for simple gas, experimental error 267
Thermal conductivity, coefficient of, for simple gas, Kihara approximation 141 216
Thermal conductivity, coefficient of, for simple gas, phenomenological formula 198
Thermal conductivity, coefficient of, for simple gas, sensitivity to model potential parameters 268
Thermal conductivity, partial coefficient of 178 188 195 see coefficient
Thermal diffusion coefficient see "Thermal diffusion factor" "Thermal
Thermal diffusion coefficient, for binary gas mixture, comparison of theory and experiment 276
Thermal diffusion coefficient, for binary gas mixture, definition of 189
Thermal diffusion coefficient, for binary gas mixture, phenomenological formula 200
Thermal diffusion coefficient, for binary gas mixture, sensitivity to model potential parameters 269
Thermal diffusion coefficient, for gas mixture, Chapman — Cowling approximation 187 222
Thermal diffusion coefficient, for gas mixture, Chapman — Enskog formula 174
| Thermal diffusion coefficient, for ionized gas, Chapman — Enskog formula 442
Thermal diffusion coefficient, for ionized gas, parallel and transverse thermal diffusion 442
Thermal diffusion coefficient, for Lorentz gas, Chapman — Enskog formula 194
Thermal diffusion factor, for binary mixture, approximate formula 287
Thermal diffusion factor, for binary mixture, Chapman — Cowling approximation 225 286
Thermal diffusion factor, for binary mixture, comparison of theory and experiment 283 287—288
Thermal diffusion factor, for binary mixture, definition of 190 286
Thermal diffusion factor, for binary mixture, Kihara approximation 286
Thermal diffusion factors, for multicomponent gas mixture 224—225
Thermal diffusion ratio, for binary mixture, Chapman — Cowling approximation 225 226
Thermal diffusion ratio, for binary mixture, definition of 189
Thermal diffusion ratio, for gas mixture, Chapman — Cowling approximation 223 224
Thermal diffusion ratio, for gas mixture, definition of 176
Thermal diffusion ratio, for ionized gas, parallel and transverse thermal diffusion 445
Thermal diffusion ratio, for Lorentz gas, convergence of Chapman — Cowling and Kihara approximations 272 273
Thermal diffusion, phenomenological theory of 199—200
Thermal expansion coefficient 393
Thermo-electric coefficient, inverse see "Electro-thermal effect"
Thermodynamic limit 38
Thermostat condition 79
Transport coefficients see "Bulk viscosity" "Diffusion "Thermal "Thermal "Viscosity"
Transport coefficients, and constitutive equations 68
Transport coefficients, phenomenological theory of 196—200
Transport coefficients, temperature dependence of 255
Transport cross section, definition of 205—206
Transport cross section, for attractive-repulsive model potential 257
Transport cross section, for point center of repulsion model potential 250
Transport cross section, for rigid sphere model potential 207
Transport cross section, quantum mechanical calculation of 263
Transport cross section, reduced 258
Transport integral see "-Integral"
Transport integral ratios, definition of 207
Transport integral ratios, for Lennard — Jones (6-12) model potential, numerical tables 528—532
Transport integral ratios, for modified Buckingham (6-exp) model potential, numerical tables 519—521
Transport integral ratios, for Morse model potential, numerical tables 534—535
Transport integral ratios, for Stockmayer model potential, numerical tables 528—532
Truesdell, C. 132 554
Uhlenbeck, G. E. 6 7 23 240 252 312 314 407 466 551 558
Uniformity parameter 388
Uniqueness theorem, Hilbert's 114
Unit tensor 496
Unit vector 491
Van de Ree, J. 176 558
Van der Waals force 233
Van Heijningen, R. J. J. 245 276 281 282 558
van Kampen, N. G. 474 558
Van Kranendonk, J. 256 552
van Leeuwen, J. M. J. 421 558
Variational Principle see "Maximum principle"
Vector, algebra 492—494
Vector, calculus 498—500
Vector, definition 491
Velocity distribution function, definition of 11
Velocity distribution function, first-order Chapman — Enskog approximation, for dense gas, Enskog's theory 367
Velocity distribution function, first-order Chapman — Enskog approximation, for dense gas, general theory 398
Velocity distribution function, first-order Chapman — Enskog approximation, for gas mixture 173
Velocity distribution function, first-order Chapman — Enskog approximation, for ionized gas 436
Velocity distribution function, first-order Chapman — Enskog approximation, for non-equilibrium ionized gas 461
Velocity distribution function, first-order Chapman — Enskog approximation, for polyatomic gas, quantum mechanical 339
Velocity distribution function, first-order Chapman — Enskog approximation, for polyatomic gas, quasi-classical 318
Velocity distribution function, first-order Chapman — Enskog approximation, for simple gas 128 151
Velocity distribution function, second-order Chapman — Enskog approximation 146 152
Velocity distribution function, zero-order Chapman — Enskog approximation see "Equilibrium solution"
Velocity, molecular 10
Virial coefficients 270 276
Viscosity (or Shear viscosity), coefficient of see "Bulk viscosity"
Viscosity (or Shear viscosity), coefficient of, for binary mixture of ionized gases, Chapman — Cowling approximation 455
Viscosity (or Shear viscosity), coefficient of, for dense gas, Chapman — Enskog formula, Choh — Uhlenbeck theory 416
Viscosity (or Shear viscosity), coefficient of, for dense gas, Chapman — Enskog formula, Enskog's theory 369 370 371
Viscosity (or Shear viscosity), coefficient of, for dense gas, Chapman — Enskog formula, general theory 400—401
Viscosity (or Shear viscosity), coefficient of, for dense gas, comparison of theory and experiment 373—374
Viscosity (or Shear viscosity), coefficient of, for gas mixture, Chapman — Cowling approximation 188 227—228
Viscosity (or Shear viscosity), coefficient of, for gas mixture, Chapman — Enskog formula 177
Viscosity (or Shear viscosity), coefficient of, for gas mixture, comparison of theory and experiment 297
Viscosity (or Shear viscosity), coefficient of, for gas mixture, Wassiljewa approximation 290—293
Viscosity (or Shear viscosity), coefficient of, for ionized gas, Chapman — Enskog formula 450
Viscosity (or Shear viscosity), coefficient of, for Lorentz gas, Chapman — Enskog formula 195
Viscosity (or Shear viscosity), coefficient of, for Lorentz gas, convergence of Chapman — Cowling and Kihara approximations 272—273
Viscosity (or Shear viscosity), coefficient of, for polyatomic gas, approximate formulae, classical 329—330
Viscosity (or Shear viscosity), coefficient of, for polyatomic gas, approximate formulae, quasi-classical 325 327
Viscosity (or Shear viscosity), coefficient of, for polyatomic gas, Chapman — Cowling approximation, quasi-classical 320—321
Viscosity (or Shear viscosity), coefficient of, for polyatomic gas, Chapman — Enskog formula, quantum mechanical 345
Viscosity (or Shear viscosity), coefficient of, for polyatomic gas, Chapman — Enskog formula, quasi-classical 319
Viscosity (or Shear viscosity), coefficient of, for polyatomic gas, the effect of asymmetric potentials 301—307
Viscosity (or Shear viscosity), coefficient of, for simple gas, Chapman — Cowling approximation 138—139 212—213
Viscosity (or Shear viscosity), coefficient of, for simple gas, Chapman — Enskog formula 130
Viscosity (or Shear viscosity), coefficient of, for simple gas, comparison of theory and experiment 275—279
Viscosity (or Shear viscosity), coefficient of, for simple gas, convergence of Chapman — Cowling approximation 271—273
Viscosity (or Shear viscosity), coefficient of, for simple gas, experimental error 267
Viscosity (or Shear viscosity), coefficient of, for simple gas, Kihara approximation 141 213—214
Viscosity (or Shear viscosity), coefficient of, for simple gas, phenomenological formula 197
Viscosity (or Shear viscosity), coefficient of, for simple gas, sensitivity to model potential parameters 268
Viscosity, phenomenological theory of 197
Viscosity, second coefficient of 319 see
Vlasov equation, for ionized gas 425
Waldmann — Snider equation, for polyatomic gas 333—334
Waldmann, L. 115 176 331 332 354 558
Wall, slip at see "Slip flow problem"
Wang Chang — Uhlenbeck (or Wang Chang — Uhlenbeck — De Boer) equation, for polyatomic gas 314 331 354
Wang Chang, C. S. 7 240 252 312 314 466 558
Wassiljewa, A. 290 558
Watson, G. N. 71 91 261 559
Weinstock, J. 421 559
Weissman, S. 287 295 296 298 556 559
Wendt, R. P. 287 556
Weyland, A. 421 558
Whittaker, E. T. 71 91 261 559
Wigner distribution function 333
Wild, E. 5 153 559
Wilke, C. R. 292 293 551 559
Williams, M. M. R. 161 465 467 555 559
Wilson, E. B. 233 557
Wright, P. G. 290 552
Wu, Ta-You 23 424 559
Yan, C C 467 559
Yosida, K. 102 559
Young-Ping Pao 161 558
Yvon, J. 36 559
Ziman, J. 134 559
Zweifel, P. F. 551
Zygmund, A. 82 559
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