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Pope S.B. — Turbulent Flows
Pope S.B. — Turbulent Flows



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Название: Turbulent Flows

Автор: Pope S.B.

Аннотация:

Turbulent Flows is an up-to-date and comprehensive graduate text on this important topic in fluid dynamics. The book consists of two parts: Part I provides a general introduction to turbulent flows, how they behave, how they can be described quantitatively, and their fundamental physical processes. Part II is concerned with different approaches for modeling, or simulating, turbulent flows. Key appendices present the necessary mathematical techniques. While primarily intended for engineering graduate students, this book will also be valuable to students in applied mathematics, physics, oceanography and atmospheric sciences, as well as to researchers and practicing engineers.


Язык: en

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2000

Количество страниц: 771

Добавлена в каталог: 04.06.2010

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Предметный указатель
Fourier transform      678-682
Fourier transform of convolution      681
Fourier transform of delta function      680
Fourier transform of derivatives      679
Fourier transform, cosine transform      680
Fourier transform, definition      678
Fourier transform, discrete      see Discrete Fourier transform
Fourier transform, fast      see FFT
Fourier transform, inverse      678
Fourier transform, table of pairs      679 710
Fourier — Stieltjes integral      690
Fox, R. O.      547 553 555
Fractal      166
Fractal, viscous superlayer      171
Frame rotation      30-33
Franklin, J. N.      666
Frederiksen, R. D.      166
Free shear flows      96-181 354
Frequency spectrum      see Spectrum
Freymuth, P.      151-153
Friction factor      292 293 293 295 298
Friction law for boundary layer      306
Friction law for channel flow      279 278-279
Friction law for fully rough pipe flow      298
Friction law for laminar boundary layer      301
Friction law for laminar channel flow      267
Friction law for laminar pipe flow      293
Friction law, Prandtl’s for smooth pipes      292 293 294
Friction law, Schultz — Grunow      307
Friction velocity      268 269 280
Frozen turbulence approximation      see Taylor’s hypothesis
Fu, S.      425
Fully-developed flow      265
Fureby, C.      639
Fuss, D.      525
Gad-el-hak, M.      308 324
Gagne, Y.      257
Galilean invariance      24 29-30 399 584 657
Galperin, B.      560
Gamma distribution      50 50-51 511
Gamma distribution, model      511-515
Gamma distribution, Moments      51 515
Gamma function      50 515
Gamma function, incomplete      515 575
Gamma function, properties of      701
Gao, F.      551 586
Gardiner, C. W.      715
Gatski, T. B.      xxxiv 425 427 453 454
Gaussian      see Normal distribution
Gaussian field      75 202 550
Gaussian field, conditional Laplacian      550 551
Gaussian field, conditional scalar dissipation      550 551
Gaussian process      67 72 718 721
Gauss’s theorem      466 653
Gcurts, D.      603 625 629 639
Generalized function      670
Generalized Langevin model      469-479 489-494
Generalized Langevin model for fluctuating velocity      493
Generalized Langevin model for particle system      522
Generalized Langevin model for rapid distortion      542
Generalized Langevin model with anisotropic diffusion      490
Generalized Langevin model with viscous transport      535
Generalized Langevin model, consistency with Kolmogorov hypotheses      490
Generalized Langevin model, constraint on coefficients      469 476 537
Generalized Langevin model, corresponding Reynolds-stress model      475-479
Generalized Langevin model, effect of diffusion      470 470 473
Generalized Langevin model, effect of drift      471 472 473
Generalized Langevin model, pressure-rate-of-strain model      475
Generalized Langevin model, realizability      491-492
Generalized Langevin model, solution for homogeneous turbulence      474
Generalized Langevin model, tendency to joint normality      475
George, W. K.      6 97 98 100 102 105-108 119 127 149 254 308 310
Germano decomposition      583
Germano, M.      584 620 622 625 628
Germano’s identity      621-622
Ghosal, S.      578 625 626 631
Gibson, M. M.      441
Gicquel, L. Y. M.      632
Gillespie, D. T.      715
Gillis, J. C.      321
Girimaji, S. S.      451 454
Givi, P.      547 630 632 638
Gleick, J.      35 37
Glezer, A.      179
GLM      see Generalized Langevin model
Godin, P.      386 461
Gosman, A. D.      639
Gr$\ddot{o}$tzbach, G.      635
Gradient diffusion hypothesis      92-95 163 362-363
Gradient-diffusion model for dissipation      378 432
Gradient-diffusion model for PDF of composition      546
Gradient-diffusion model for Reynolds stress      431-432
Gradient-diffusion model for turbulent kinetic energy      371
Graham, I. M. R.      433
Gravity      16
Grid filter      619
Grid turbulence      159 158-161 241
Grid turbulence, decay law      160-161
Grid turbulence, decay law, relation to $C_{\varepsilon2}$      376
Grid turbulence, final period      see Final period of decay
Grinstein, F. F.      633 638
Guckenheimer, J.      37
Gutmark, E.      135
H$\ddot{a}$rdle, W.      525
Had$\check{z}$i$\acute{c}$, I.      432
Hairpin vortex      325 326 327
Hancock, P. E.      433
handedness      28 655-658
Hanjali$\acute{c}$ — Launder model      see HL model
Hanjali$\acute{c}$, K.      287 373 382 383 425 426 431 432 438 458 461
Haritonidis, J. H.      325
Harlow, F. H.      373 431
Haworth — Pope model      477
Haworth, D. C.      427 477 506 560 627 638
Head, M. R.      266 279 280 321 325-327
Heaviside function      676 675-677
Heisenberg, W.      253
Helicity      30 657 658
Helmholtz equation      445
Helmholtz theorem      22
Henbest, S.      326
Herring, H. J.      431
Heskestad, G.      135 136
Hinze, J. O.      8 201 203 250
HL model      425-426
Hockney, R. W.      516
Hoffmann, P H.      321
Hollingsworth, D.      4 101
Holmes, P.      xviii 37 325 326 328 330 331
Holst, T. L.      339
Homogeneous turbulence      76
Homogeneous turbulent shear flow      94 154-158 415 424 424 544
Homogeneous turbulent shear flow, mean velocity gradients      158
Homogeneous turbulent shear flow, PDFs      173 174 175
Homogeneous turbulent shear flow, production-to-dissipation ratio      157
Homogeneous turbulent shear flow, rapid distortion      419-420
Homogeneous turbulent shear flow, Reynolds stress      156 157
Hopfinger, E. J.      257
Horseshoe vortex      325
Howarth, L.      196 201
Hsu, A. T.      514 547 556
Huang, G. P.      305
Huffman, G. D.      305
Hunt, J. C. R.      415 421 422 433 494 503
Hussain, F.      328 332
Hussaini, M. Y.      638
Hussein, H. J.      6 97 98 100 102 105-108 IIV 127 254
Hyperviscosity      352
I.i.d.      61
Ideal flow      17
Imberger, J.      494
Impermeability condition      17 18 283 433 439 538 634
Impossible event      34
Incident properties      530 530 532-534 539
Incomplete gamma function      515 575
Independence      59 63
Independent and identically distributed      see i.i.d.
Inertial subrange      186 187 188 238-239
Inertial subrange, scaling of residual quantities      588 589
Inner layer      272 275 276
Integral lengthscale      77 109 109 197 346
Integral lengthscale, longitudinal      197
Integral lengthscale, longitudinal, relation to L      244 245
Integral lengthscale, longitudinal, relation to spectrum      226 228
Integral lengthscale, transverse      197
Integral timescale      69 721
Integral timescale, Lagrangian      see Lagrangian integral timescale
Integral timescale, relation to spectrum      71
Integrity basis      453 453
Intermittency      168 171 167-173
Intermittency factor      168 169
Intermittency factor in boundary layer      302
Intermittency factor in mixing layer      172
Intermittency function      168 168
Intermittency, conditional statistics      168-170 173
Intermittency, non-turbulent velocity fluctuations      173 172-173
Intermittency, PDF model      509 513 523
Internal intermittency      258-260 509 589
Invariance, extended Galilean      30
Invariance, frame rotation (lack of)      30
Invariance, frame rotation in two-dimensional flows      32
Invariance, Galilean      see Galilean invariance
Invariance, reflectional      27
Invariance, rotation of axes      27
Invariance, time reversal      28
Invariance, translational      27
Inviscid fluid      17
IP model      423 (see also LRR-IP model Lagrangian
Irrotational flow      23 89 167
Isoscalar surface      166
Isotropic stress      88
Isotropic tensor      662
Isotropic tensor, fourth-order      133
Isotropic tensor, second-order      662
Isotropic tensor, sixth-order      205
Isotropic turbulence      76 159
Isotropization of production model      see IP model
Isotropy of small-scale motions      184 254
Isotropy of small-scale motions, criteria for      246
Ito calculus      718
Ito transformation      722
Jaberi, F. A.      547 630 632 638
Jacobi polynomials      354
Jacobian      15 481 496 534
Jakirli$\acute{c}$, S.      432 438
Janicka, J.      555
Jansen, K.      560 627 638
Jayesh      507 511 513 514 544
Jeong, J.      328
jet      see Round jet plane
Jimenez, J.      357 604 627
JM model      425-426 427
Johansson, A. V.      433
Johnston, J. P.      321
Joint normal distribution      61-65
Joint normal distribution, characteristic function      712
Joint normal distribution, conditional mean      63
Joint normal distribution, conditional PDF      63
Joint normal distribution, conditional variance      63
Joint normal distribution, marginal PDF      63
Joint normal distribution, standardized      65
Joint PDF      see PDF joint
Joint random variables      54-60
Joint random variables, characteristic function      711
Jones and Musonge model      see JM model
Jones, W. P.      373 425 427 434-436 443 547
Jovic, S.      356
Jump process      67
Juneja, A.      554
K$\acute{a}$rm$\acute{a}$n constant      see von K$\acute{a}$rm$\acute{a}$n constant
K$\acute{a}$rm$\acute{a}$n — Howarth equation      201-206
Kachanov, Y. S.      300
Kailasnath, P.      260 262
Kakhi, M.      547
Kanniche, M.      448
Kaplan, R. E.      328
Karlin, S.      715
Karnik, U.      157
Kassinos, S. C.      422 540 541
Katz, J.      603 628
Kebede, W.      437
Keefe, L. R.      330
Kellogg, O. D.      20
Kellogg, R. M.      255
Kernel estimation      523-529
Kernel function      11 523 525
Kibens, V.      327
Kim, H. T.      324
Kim, J.      157 268-270 273 274 277 282-285 303 328 339 346 353 355 356 371 395 429 435 439 532 540 560 599 600 603
Kim, S. K.      398 399 402 403
Kinematic viscosity      see Viscosity
Kinetic energy of filtered velocity field      585
Kinetic energy of filtered velocity field, conservation equation      585
Kinetic energy of filtered velocity field, dissipation      585 586
Kinetic energy, filtered      585
Kinetic energy, Fourier modes      215-219
Kinetic energy, instantaneous      122-124
Kinetic energy, mean flow      122 124
Kinetic energy, turbulent      see Turbulent kinetic energy
Kinetic theory      361
Kistler, A. L.      89 171 327
Klebanoff, P. S.      302 303 305 307
Kline, S. J.      323 324 461
Knecht, P.      308 310
Knight, D.      633
Knowns      370
Knudsen number      11 363
Koh, R. C. Y.      494
Kolbe, R. L.      633 638
Kolbe, W.      555
Kollmann, W.      555
Kolmogorov constant, $C_{0}$      486 504
Kolmogorov constant, $C_{1}$      231 239
Kolmogorov constant, $C_{1}'$      231 239
Kolmogorov constant, $C_{2}$      194 193-195
Kolmogorov constant, $C_{2}$, relation to skewness      204
Kolmogorov constant, C      189 231
Kolmogorov constant, relations among C, $C_{1}$, $C_{1}'$, and $C_{2}$      232
Kolmogorov constant, relations between C, $C_{1}$, $C_{1}'$, $C_{2}$      232
Kolmogorov equation      204
Kolmogorov four-fifths law      204 260
Kolmogorov hypotheses      182-191
Kolmogorov hypotheses, refined      260-262 509
Kolmogorov hypotheses, shortcomings      254-258
Kolmogorov hypotheses, statement of      190
Kolmogorov hypotheses, velocity structure functions      193 194 260-261
Kolmogorov hypotheses, velocity structure functions, Lagrangian      486 490
Kolmogorov scales      128-129 171 185
Kolmogorov scales at wall      287
Kolmogorov scales, in log-law region      290
Kolmogorov scales, relation to other scaLles      200
Kolmogorov scales, Reynolds-number dependence      129 186
Kolmogorov spectrum      see Spectrum
Kolmogorov, A. N.      184 191 204 258-261 369 383
Kos$\acute{a}$ly, G.      552
Koseff, J. R.      625 629
Kovasznay, L. S. G.      327 385
Krai, L. D.      461
Kraichnan, R. H.      233 352 551 560 611
Kramers — Moyal equation      715
1 2 3 4 5 6 7 8
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