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| Pope S.B. — Turbulent Flows |
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| Предметный указатель |
Stokes pressure see Pressure harmonic
Stokes stream function 120
Stolovitzky, G. 262
Stone, E. 331
Strain rate see Rate of strain
Streak 323 324 331
Streak, spacing 324
Streamfunction 32
Streamline curvature 365 461
Streamlines 23
Street, R. L. 625 629
Stress tensor 16 (see also Reynolds-stress tensor)
Strong realizability 401 402 426
Structure function, Lagrangian 486-487 490
Structure function, power-law 257 261 700 696-701
Structure function, relation to autocovariance 696
Structure function, relation to spectrum 226 696 700
Structure function, velocity, higher-order 256 257 260-261
Structure function, velocity, Kolmogorov hypotheses 192-195 232 260-261 487 490
Structure function, velocity, second-order 192 194 191-195 261
Structure function, velocity, third-order 203 204
Structure-function model 629
Subgrid scale stress see Residual stress tensor
Sublayer see Viscous sublayer
Subramaniam, S. 555
Substantial derivative 13
Substantial derivative, mean 84
Substitution rule 645 660
Suffix, dummy 645 660
Suffix, free 645 659
Suga, K. 454 456
Sullivan, R P. 631
Summation convention 644 660
Superlayer see Viscous superlayer
Sure event 34
Surface forces 16
Surrogate field 551
Sweep 323 324 325
Swirling flows 364 461 544
System coordinate-system invariance 27-28 399
Tabeling, P. 258
Tabor, G. 639
Tamura, T. 633
Taulbee, D. B. 454
Tavoularis, S. 94 155-157 163 174 175 281 362
Taylor microscale 199 198-201
Taylor microscale, longitudinal 198
Taylor microscale, relation to dissipation 199
Taylor microscale, relation to other lengthscales 200
Taylor microscale, transverse 199
Taylor series for a delta function 675
Taylor series for a tensor 652
Taylor series for filtered velocity 596
Taylor — G rtler vortices 322
Taylor, G. I. 196 199 224 406 503
Taylor, H. M. 715
Taylor-scale Reynolds number 200
Taylor’s hypothesis 223-224
Teitel, M. 285
Temporal mixing layer see Mixing layer
Tennekes, H. 680
Tensor addition 649 660
Tensor, Cartesian 643-660
Tensor, contraction 650 660
Tensor, direct notation 653
Tensor, divergence 652 660
Tensor, division 651 660
Tensor, first-order 647
Tensor, gradient 651 660
Tensor, inner product 651 660
Tensor, isotropic 662
Tensor, Nth-order 649
Tensor, product 649 660
Tensor, second-order 648 662 661-669
Tensor, second-order, antisymmetric 663
Tensor, second-order, as a matrix 661
Tensor, second-order, as an ellipsoid 668
Tensor, second-order, characteristic equation 667
Tensor, second-order, decomposition 662-663
Tensor, second-order, determinant 666
Tensor, second-order, deviatoric 662
Tensor, second-order, eigenvalues 664-665
Tensor, second-order, eigenvectors 664-665
Tensor, second-order, invariants 666
Tensor, second-order, inverse 667
Tensor, second-order, isotropic 662
Tensor, second-order, principal axes 664-665
Tensor, second-order, principal invariants 666
Tensor, second-order, square root 668
Tensor, second-order, symmetric 663
Tensor, second-order, trace 662
Tensor, suffix notation 653
Tensor, summary of rules 659-660
Tensor, transformation rule 649
Tensor, zeroth-order 647
Tensor-representation theorems 400
Test filter 619
Theodorsen, T. 326
Thermal wake 503 505 503-505
Thomas, N. H. 433
Thomson, D. J. 604
Time average 79 80 81 683
Timescale in round jet 131
Timescale, cascade 252
Timescale, eddy 183
Timescale, integral 69
Timescale, Kolmogorov 128
Timescale, Lagrangian integral 485
Timescale, turbulence 130
Tong 5 224
Townsend, A. A. 8 205 259 415
Transfer function see Filter
Transition 6 266 300
Transitional flow 602 624
Transverse 196
Triad interactions 214-215 255 345 607 608 605-609
Tricomi, F. G. 680
Tritton, D. J. 10
Trovato, M. 400
Tsai, H. M. 327
Tsai, K 547
Tselepidakis, D. P. 425
Tucker, H. J. 360 361
Turbulence frequency, at wall 538
Turbulence frequency, conditional mean 513 512-514
Turbulence frequency, definition 506 514
Turbulence frequency, evolution of mean 385 509
Turbulence frequency, gamma distribution 511 512
Turbulence frequency, Jayesh — Pope model 512 511-515
Turbulence frequency, Jayesh — Pope model, sample paths 512
Turbulence frequency, log-normal model 510 507-511 512
Turbulence frequency, log-normal model, sample paths 508
Turbulence frequency, mean 506
Turbulence frequency, mean,  model 383-385
Turbulence frequency, mean,  model 377-378
Turbulence frequency, mean, in round jet 131
Turbulence frequency, PDF see PDF of turbulence frequency
Turbulence model 336
Turbulent diffusivity 93 162 363
Turbulent diffusivity from dispersion 500
Turbulent dispersion see Dispersion
Turbulent kinetic energy 88 122 125-127
Turbulent kinetic energy and POD eigenfunctions 330
Turbulent kinetic energy budget in axisymmetric wake 151 153
Turbulent kinetic energy budget in boundary layer 314 314
Turbulent kinetic energy budget in channel flow 285 284-285
Turbulent kinetic energy budget in round jet 129 130
Turbulent kinetic energy budget in temporal mixing layer 431
Turbulent kinetic energy in boundary layer 313
Turbulent kinetic energy in channel flow 282 284 532 540
| Turbulent kinetic energy in grid turbulence 159 160
Turbulent kinetic energy in homogeneous turbulent shear flow 156
Turbulent kinetic energy model 369-373
Turbulent kinetic energy, conservation equation 125 133
Turbulent kinetic energy, conservation equation, near-wall expansion 286
Turbulent kinetic energy, cumulative 240 241 241 245
Turbulent kinetic energy, model transport equation 372
Turbulent kinetic energy, model transport equation, near-wall 435
Turbulent kinetic energy, pressure transport 126 314 314 430 431
Turbulent kinetic energy, relation to energy-spectrum function 222
Turbulent mean and statistics see Intermittency conditional
Turbulent Prandtl number 95 162
Turbulent Prandtl number for dissipation 375
Turbulent Prandtl number for kinetic energy 371
Turbulent Reynolds number see Reynolds number
Turbulent structures 178-181 322-332
Turbulent structures, axisymmetric wake 179 181
Turbulent structures, boundary layer 327
Turbulent structures, categorization 323
Turbulent structures, dynamical models 331
Turbulent structures, eduction 328
Turbulent structures, free shear flows 178-181
Turbulent structures, mixing layer 178 178
Turbulent structures, wall flows 323-332
Turbulent viscosity 93 358
Turbulent viscosity in model 374
Turbulent viscosity in boundary layer 307
Turbulent viscosity in mixing-length model 289 367 367
Turbulent viscosity in round jet 105-107 108 118
Turbulent viscosity in turbulent kinetic energy model 369 770
Turbulent viscosity model, transport equation 386
Turbulent viscosity, near-wall damping 434
Turbulent viscosity, related to wall-normal velocity variance 435 435 448
Turbulent viscosity, relation to  and  370 371 372
Turbulent viscosity, uniform 366 365-366
Turbulent-viscosity hypothesis 92-95 358-365
Turbulent-viscosity hypothesis for axisymmetric contraction 359-360
Turbulent-viscosity hypothesis in rapid distortion 360
Turbulent-viscosity hypothesis in shear flows 94 362
Turbulent-viscosity hypothesis, alignment of principal axes 94 364 365
Turbulent-viscosity hypothesis, assumed linear relation 358 364
Turbulent-viscosity hypothesis, comparison with kinetic theory 361
Turbulent-viscosity hypothesis, nonlinear model 365 450-456
Turbulent-viscosity hypothesis, nonlinear model, for two-dimensional flows 454
Turbulent-viscosity hypothesis, nonlinear model, from LRR-IP 454 455 456
Two-component flow 284
Two-component turbulence 394 395 395 396 401 402 433
Two-dimensional turbulence 426
Two-equation models 384 384
Two-point correlation 77 195-205
Two-point correlation in isotropic turbulence 196
Two-point correlation, divergence 78
Two-point correlation, relation to pressure-rate-of-strain tensor 391
Two-point correlation, relation to velocity-spectrum tensor 220
Two-point correlation, symmetries 78
Two-point correlation, triple velocity 201
Typical eddies 327
Uberoi, M. S. 151-153 359 360
Uddin, A. K. M. 314
Unclosed 87
Uncorrelated random variables 57 59
Uncorrelated random variables, joint-normal 63
Uniform distribution 43 44
Unit wavevector 408 409 410 541 542
Unit wavevector, evolution equation 408 542
Unit wavevector, stochastic model 543-545
Unitary matrix 63 90 663
Unitary transformation 63 664
Universal equilibrium range 185 187 231
Universality of small scales 184 185
Unknowns 370
Unpredictability 37
Valino, L. 555
Valley 327 327
Van Atta, C. W. 256 258 262
van Driest damping function 303 304
van Driest damping function for Smagorinsky lengthscale 599 634
van Driest, E. R. 304
Van Dyke, M. 6
Van Slooten, P R. 422 513 514 541-544
Variance 41
Variance of sums 60
Variance, relation to spectrum 71
Vasilyev, O. V. 578
Vector potential 211
Veeravalli, S. V. 193 194 233 235 236 239 247 248 318
Velocity field, Eulerian 12
Velocity field, fluctuating 75
Velocity field, Fourier series 207
Velocity field, Lagrangian 13
Velocity field, mean 83—86
Velocity field, near-wall expansion 283
Velocity potential 211
Velocity scale in turbulent-viscosity model 369
Velocity scale of eddy 183
Velocity scale of residual velocity 628
Velocity scale, convective 139
Velocity scale, difference 139
Velocity scale, Kolmogorov 128
Velocity scale, r.m.s. 105
Velocity scale, viscous 269
Velocity, fluid particle 14 481
Velocity, following molecule 535
Velocity, PDF see PDF of velocity
Velocity-defect law 275-278 305 305-308
Velocity-defect law in boundary layer 305 307
Velocity-defect law in channel flow 277
Velocity-pressure-gradient tensor 315 316
Velocity-pressure-gradient tensor, alternative decompositions 389 428
Velocity-spectrum tensor 77 216 218 220-221 411
Velocity-spectrum tensor for rapid distortion of homogeneous turbulence 412
Velocity-spectrum tensor in isotropic turbulence 222
Velocity-spectrum tensor, positive-definiteness 218 220
Velocity-spectrum tensor, relation to Reynolds stress 220
Velocity-spectrum tensor, relation to two-point correlation 220
Velocity-spectrum tensor, symmetries 220
Villermaux, J. 547
Vincenti, W. G. 361 363
viscosity 17
Viscosity from kinetic theory 361
Viscosity, kinematic 17
Viscosity, turbulent see Turbulent viscosity
Viscous dissipation 123 see
Viscous lengthscale 270
Viscous scales 269
Viscous sublayer 271 275 276
Viscous superlayer 167 171 171-172 323 326 327
Viscous transport in model 435
Viscous transport in PDF methods 534-537
Viscous wall region 270 275 276
Visser, B. M. 364
VITA 328
VLES 560 560
Voke, P R. 596
Volume average 208
von K rmn constant 274 291 379
von Karman, T. 196 201 232 274 276
Vortex lines 23
Vortex stretching 22 204
Vortical structure 323 325
Vorticity 22-24 32
Vorticity in wavenumber space 211
Vorticity, conservation equation 22
Vorticity, conservation equation, for irrotational rapid distortions 406
Vreman, B. 603 625 629 639
Wake see Axisymmetric wake plane
Wake-strength parameter 306
Waleffe, F. 331
Wall blocking 433 435
Wall echo see Wall reflection
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