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McComb W.D. Ч Physics of Fluid Turbulence
McComb W.D. Ч Physics of Fluid Turbulence



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Ќазвание: Physics of Fluid Turbulence

јвтор: McComb W.D.

язык: en

–убрика: ‘изика/ лассическа€ физика/ћеханика жидкости и газа/

—татус предметного указател€: √отов указатель с номерами страниц

ed2k: ed2k stats

√од издани€: 1990

 оличество страниц: 572

ƒобавлена в каталог: 29.06.2005

ќперации: ѕоложить на полку | —копировать ссылку дл€ форума | —копировать ID
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ѕредметный указатель
$\beta$-model      107Ч109
$\Lambda$ vortices      422Ч424
$\Lambda$ vortices, evidence from numerical simulation      427
Absolute equilibrium ensembles      166
ALHDI, abridged LHDI      See Lagrangian-history direct-interaction theories
Almost-Markovian models      335. See also Near-Markovian models
Apparent coefficient of viscosity for a non-Newtonian fluid      495
Apparent coefficient of viscosity for turbulent flow      8
Asymptotic series      147
Averaging methods, bulk mean velocity      4
Averaging methods, conditional average      413
Averaging methods, ensemble average      39
Averaging methods, global average      368
Averaging methods, partial average      367
Averaging methods, phase average      425
Averaging methods, shell-averaged energy spectrum      115
Averaging methods, spatial average, rolling average in LES      388
Averaging methods, time averages      5Ч6
Averaging methods, zone average      411Ч412
BBGKY hierarchy      159
BBGKY-type treatment of turbulence      159Ч160
Bernoulli distribution      See Binomial distribution
Binomial distribution      529
Blasius empirical formula for wall shear stress in boundary layers      18. See also Wall shear stress
Blasius empirical formula for wall shear stress in flow through ducts      118
Blasius empirical formula for wall shear stress, extension to non-Newtonian fluids      499
Boltzmann equation      161
Bookkeeping parameter $\lambda$      145 191 206 226 232Ч233 246 292 301 304 359
Boundary-layer approximation      2
Boundary-layer thickness      12
Boundary-layer thickness, associated Reynolds number      12
Boundary-layer, constant-stress layer      14
Boundary-layer, equations of motion      13
Boundary-layer, turbulent buffer layer      15
Boundary-layer, turbulent inner layer length scale      15
Boundary-layer, turbulent inner layer velocity scale      15
Boundary-layer, turbulent inner layer, outer layer      14
Boundary-layer, turbulent length and velocity scales      14
Boundary-layer, turbulent viscous sublayer      15
Brown Ч Roshko vortices      See Coherent structures
Bursts      See Turbulent bursts
Central limit theorem      531
Centroid and relative coordinate system for two-point correlations      43
Chaos      428Ч430
Closure problem      6Ч7
Closure problem, most general form      42
Coherent structures      109. See also Turbulent bursts Phase Intermittency
Coherent structures, Brown Ч Roshko roll vortices in the mixing layer      109Ч110 407Ч409
Coherent structures, in free shear flows      410
Coherent structures, quasi-periodic, non-deterministic      109
Coherent structures, turbulent slugs and puffs in pipe flow      414Ч415
Coherent structures, turbulent spots in boundary layers      413Ч414
Coherent structures, vortex pairing versus vortex tearing      110 428
Coherent structures, wave packets and turbulent spots      430
Continuity equation      2
Convolution of two functions      538
Correlation coefficient      See also Lagrangian autocorrelation and Correlation coefficient
Correlation coefficient for fluctuating velocities near a solid surface      21
Correlation coefficient, experimental value in flow through a pipe      28
Correlation coefficient, general two-point form      44
Correlation coefficient, transverse and longitudinal correlation coefficients      50Ч51
Cumulants of a distribution      530
Degrees of freedom in isotropic turbulence      113Ч114
Degrees of freedom in isotropic turbulence, Fourier modes as      381
Degrees of freedom in isotropic turbulence, reduction of      365
Degrees of freedom in isotropic turbulence, relationship to Taylor Ч Reynolds number      381Ч382
Deviatoric stress tensor, Newtonian fluid      3 524
Deviatoric stress tensor, non-Newtonian fluid      495Ч497
Diagrams (in perturbation theory)      147
Diagrams (in perturbation theory) for DIA as a second-order closure      221Ч222
Diagrams (in perturbation theory) for perturbation expansion of Navier Ч Stokes equation      213Ч223
Diagrams (in perturbation theory) for perturbation expansion of Navier Ч Stokes equation, class A diagrams      217Ч218
Diagrams (in perturbation theory) for perturbation expansion of Navier Ч Stokes equation, class B diagrams      218Ч221
Diagrams (in perturbation theory), application to electron gas      204Ч205
Diagrams (in perturbation theory), disconnected graphs, reducibly connected graphs and irreducibly connected graphs      198
Diagrams (in perturbation theory), Feynman-type diagrams      186
Diagrams (in perturbation theory), introduction to the graphical method      196Ч201
Diagrams (in perturbation theory), partial summation      188Ч190
Diffusion      See Diffusion by continuous movements Turbulent
Diffusion by continuous movements: Taylor's analysis      437Ч441
Diffusion by continuous movements: Taylor's analysis for long diffusion times      440
Diffusion by continuous movements: Taylor's analysis for short diffusion times      440
Diffusion by continuous movements: Taylor's analysis, equivalence to the diffusion problem in Eulerian coordinates      460Ч461
Diffusion by continuous movements: Taylor's analysis, extension to discrete particles      452
Diffusion by continuous movements: Taylor's analysis, extension to discrete particles, Tchen's analysis      454Ч456
Diffusion by continuous movements: Taylor's analysis, extension to discrete particles, Дcrossing trajectoriesУ      456
Diffusion by continuous movements: Taylor's analysis, extension to shear flows      456Ч458
Diffusion by continuous movements: Taylor's analysis, extension to three dimensions      441
Diffusion by continuous movements: Taylor's analysis, turbulent diffusion coefficient      440Ч441
Direct interaction (in DIA)      338
Direct interaction approximation (DIA)      225Ч241. See also LHDIA ALHDIA Renormalized
Direct interaction approximation (DIA), application to axisymmetric turbulence      334
Direct interaction approximation (DIA), application to inhomogeneous turbulence      331Ч338
Direct interaction approximation (DIA), calculation of freely decaying turbulence      316Ч328
Direct interaction approximation (DIA), conservation of energy      236
Direct interaction approximation (DIA), equation for response function      234
Direct interaction approximation (DIA), equation for the correlation function      234
Direct interaction approximation (DIA), idealised convection problem      273
Direct interaction approximation (DIA), inertial-range 3/2 power law      237
Direct interaction approximation (DIA), infinitesimal response tensor      226
Direct interaction approximation (DIA), mean response tensor      227
Direct interaction approximation (DIA), physical realizability      241
Direct interaction approximation (DIA), spurious convection effects      269Ч274
Direct interaction approximation (DIA), violation of random Galilean invariance      276
Dissipation rate      9 524 526
Dissipation rate for decaying turbulence      313
Dissipation rate, estimate for pipe flow      117
Dissipation rate, fluctuations in      104 328
Dissipation rate, local dissipation rate      108
Dissipation rate, measured distribution in flow through a pipe      29Ч31
Dissipation rate, relationship to energy spectrum of isotropic turbulence      66
Dissipation rate, relationship to the Taylor microscale for isotropic turbulence      52
Dissipation spectrum      84
Dissipation spectrum for decaying turbulence      313
Drag      132. See also Friction drag
Drag reduction by additives      130
Drag reduction by additives, additive degradation      134
Drag reduction by additives, comparison of macroscopic fibres with microscopic polymers      520Ч521
Drag reduction by additives, definition      131
Drag reduction by additives, effect on heat and mass transfer      518Ч519
Drag reduction by additives, effect on turbulent diffusion      519Ч520
Drag reduction by additives, heterogeneous drag reduction      511
Drag reduction by additives, homogeneous drag reduction      511
Drag reduction by additives, in fibre suspensions      133 140Ч141
Drag reduction by additives, in polymer solutions      133Ч140
Drag reduction by additives, maximum drag reduction asymptote      140
Drag reduction by additives, natural occurrence      133
Drag reduction by additives, threshold (onset) effect      136Ч139
Drag reduction, by flexible walls      498. See also Drag reduction by additives
Drag reduction, in heated boundary layers      498
Drag, form drag      132
Drag-reducing fibre suspensions, frequency of turbulent bursts      521
Drag-reducing fibre suspensions, intensities, correlations and spectrum      514Ч517
Drag-reducing fibre suspensions, mean velocity distributions      512Ч514
Drag-reducing fibre-polymer suspensions      517Ч518
Drag-reducing polymer solutions, effect on free turbulence      511Ч512
Drag-reducing polymer solutions, effect on turbulent structure      505Ч506
Drag-reducing polymer solutions, frequency of bursts      509 521
Drag-reducing polymer solutions, importance of the region near the wall      509Ч511
Drag-reducing polymer solutions, mean velocity distributions      506Ч507
Drag-reducing polymer solutions, spectra and correlations      509
Drag-reducing polymer solutions, turbulent intensities and Reynolds stress      508Ч509
Drag-reducing polymer solutions, ultimate mean velocity profile      507
Early turbulence      See Non-Newtonian fluids
Eddy diffusivity      464. See also Turbulent diffusion in an Eulerian frame Diffusion
Eddy turnover time      315
Eddy-viscosity hypothesis      20. See also Subgrid models
Eddy-viscosity hypothesis, Boussinesq form      128
Eddy-viscosity hypothesis, Heisenberg-type      76 430
Eddy-viscosity hypothesis, Kolmogorov Ч Prandtl form      127
Edwards Ч Fokker Ч Planck theory      241Ч257. See also Modified EFP theories
Edwards Ч Fokker Ч Planck theory, comparison with DIA      253Ч255
Edwards Ч Fokker Ч Planck theory, Edwards Ч Fokker Ч Planck equation      245Ч248
Edwards Ч Fokker Ч Planck theory, energy-balance equation      252
Edwards Ч Fokker Ч Planck theory, expansion for the probability distribution of velocities      248Ч250
Edwards Ч Fokker Ч Planck theory, exponential time-dependencies      254
Edwards Ч Fokker Ч Planck theory, infinite value of Kolmogorov spectral constant      269
Edwards Ч Fokker Ч Planck theory, limit of infinite Reynolds number      255Ч257
Edwards Ч Fokker Ч Planck theory, Liouville equation      242
Edwards Ч Fokker Ч Planck theory, main hypothesis      248
Edwards Ч Fokker Ч Planck theory, response equation      253
Edwards Ч Fokker Ч Planck theory, turbulent ensemble      243
Effective coefficient of viscosity      8 295
Energy balance equation for fluctuating velocities      9Ч11
Energy balance equation for fluctuating velocities in wavenumber space      65Ч67
Energy balance for velocity fluctuations as computed for isotropic turbulence in wavenumber space      84Ч86
Energy balance for velocity fluctuations as measured in flow through a pipe      28Ч31
Energy cascade in wavenumber space      65 69Ч70
Energy spectrum, governing equation      66
Energy spectrum, measured one-dimensional spectra      81Ч83
Energy spectrum, one-dimensional form      61Ч63
Energy spectrum, Pao's empirical correlation      84
Energy spectrum, with respect to wavenumber      61
Energy transfer spectrum      84
Entropy, elimination of infra-red divergence      294
Entropy, maximum entropy principle for the intermittency exponent      109
Entropy, maximum entropy principle for the turbulence distribution function      290Ч294
Eulerian coordinate frame      436
Fine-structure intermittency      100. See also Structure functions Intermittent Intermittency
Fine-structure intermittency, cross over from intermittent scaling to Kolmogorov scaling      331
Fine-structure intermittency, Kolmogorov energy spectrum with intermittency correction      328
Flatness factor of a distribution      530
Flatness factor of the probability distribution of the longitudinal velocity difference      103
Fourier series      536
Fourier transform pair      537
Free-surface intermittency, conditional average      413
Free-surface intermittency, zone average      411Ч412
Friction drag, calculation for a boundary layer      17
Friction drag, empirical formulae, see wall shear stress friction (or drag) coefficient (external flows)      18
Friction drag, friction factor (internal flows)      19
Friction velocity      15
Full simulation (of turbulence)      See also Large-eddy simulation (LES)
Full simulation (of turbulence), isotropic turbulence      382
Full simulation (of turbulence), Kolmogorov spectrum      384
Full simulation (of turbulence), Monte Carlo methods      401
Full simulation (of turbulence), shear flows      384Ч387
Functional formalisms      167Ч176
Functional formalisms of Hopf      174Ч176
Functional formalisms of Lewis and Kraichnan      167 169Ч174
Functional formalisms, comparison with quantum field theory      176
Functionals, characteristic      168Ч70
Functionals, probability distribution      167
Functionals, standard notation for      156
Galilean invariance      534
Galilean invariance, invariance of single-time moments      275
Galilean invariance, noninvariance of two-time moments      275Ч276
Galilean invariance, postulate of random Galilean invariance      274Ч276 340Ч342
Gaussian distribution      529
Green's function      539
Grid-generated turbulence      49
Heat and mass transfer      460Ч471. See also Turbulent diffusion Diffusion
Heat and mass transfer, application of DIA      469
Heat and mass transfer, experimental measurements in pipes and jets      470Ч471
Heat and mass transfer, experimental values of turbulent diffusities      471
Heat and mass transfer, Fick's law      461
Heat and mass transfer, Fourier's law      461
Heat and mass transfer, single-point balance equations      465Ч467
Heat and mass transfer, statistical formulation      463Ч464
Heat and mass transfer, two-point balance equations      467Ч470
Heisenberg effective viscosity theory      76Ч77
Heisenberg effective viscosity theory, basic hypothesis      76
Heisenberg effective viscosity theory, eddy viscosity      77
Homogeneous turbulence      47
Homogeneous turbulence, local homogeneity      101
Homogeneous turbulence, velocity-field moments      56Ч59
Hot-wire anemometer      89
Hot-wire anemometer, constant-current operation      90
Hot-wire anemometer, King's law      90
Hydrodynamic stability      406 433
Inertial subrange of wavenumbers      71
Inertial transfer coefficients      541
Infra-red divergence      269
Infra-red divergence, freedom from of LET      325
Input term      See Work done by external forces
Integral length scales, for decaying turbulence      313Ч314
Integral length scales, general tensor form      45
Integral length scales, longitudinal scale      52
Integral time scale, Eulerian form      45
Integral time scale, Lagrangian form      438Ч439 453
Intermittency      See Coherent structures Fine-structure Free-surface
Intermittency exponent $\mu$      
106 109 328Ч329
Intermittency factor      103 411 415
Intermittency function      411
Intermittent dissipation rate      104
Isotropic turbulence      48
Isotropic turbulence, isotropic spectrum tensor      59Ч61
Isotropic turbulence, isotropic two-point correlation      50
Isotropic turbulence, local isotropy      49 101
Isotropic turbulence, local isotropy and the application of Kolmogorov hypotheses to shear flows      73
Iterative averaging      See Renormalization group
Karman Ч Howarth equation      502
Kinetic energy of fluid motion in general      9
Kinetic energy of fluid motion in turbulence      10
Kinetic energy of fluid motion of fluctuating velocities      11
Kolmogorov constant (in the energy spectrum)      70
Kolmogorov constant (in the energy spectrum), ALHDI prediction      325
Kolmogorov constant (in the energy spectrum), measured values      83Ч84
Kolmogorov constant (in the energy spectrum), relationship between three-dimensional and one-dimensional forms      83
Kolmogorov constant (in the energy spectrum), SBALHDI prediction      327
Kolmogorov constant (in the energy spectrum), values from numerical simulation      384 387 401
Kolmogorov constant (in the energy spectrum), variation from one class of flow to another      330
Kolmogorov dissipation length scale      68
Kolmogorov dissipation velocity scale      68
Kolmogorov dissipation wavenumber      69
Kolmogorov energy spectrum      70
Kolmogorov energy spectrum, intermittency corrections      328
Kolmogorov energy spectrum, spectral density      71
Kolmogorov Ч Obukhov log-normality hypothesis      105Ч107 328
Kolmogorov's first and second hypotheses      70
Kolmogorov's first and second hypotheses, application to scalar transport      474Ч478
Kolmogorov's first and second hypotheses, investigation by Champagne      329
Kolmogorov's first and second hypotheses, weaker forms      330
Kolmogorov's third hypothesis      105Ч106
Lagrangian autocorrelation      438
Lagrangian autocorrelation of discrete particles      453
Lagrangian coordinates for scalar diffusion      436Ч437
Lagrangian coordinates in LHDI theory      278
Lagrangian correlation coefficient      438Ч439
Lagrangian correlation coefficient, conjecture of Hay and Pasquill      444Ч446
Lagrangian correlation coefficient, conjecture of Hay and Pasquill, Corrsin's independence hypothesis      446Ч447
Lagrangian correlation coefficient, of discrete particles      453
Lagrangian correlation coefficient, problem of relation to Eulerian coordinates      441Ч447
Lagrangian integral time scale      438Ч439
Lagrangian integral time scale of discrete particles      453
Lagrangian statistical quantities experimental measurements      447Ч448
Lagrangian statistical quantities experimental measurements, from numerical simulations      448Ч449
Lagrangian-history direct-interaction (LHDI) theories      277Ч290
Lagrangian-history direct-interaction (LHDI) theories, abridged LHDI theory      286Ч288
Lagrangian-history direct-interaction (LHDI) theories, compatibility with the Kolmogorov inertial-range spectrum      286
Lagrangian-history direct-interaction (LHDI) theories, computation for decaying turbulence      324Ч328
Lagrangian-history direct-interaction (LHDI) theories, DIA adapted to Lagrangian-history coordinates      282Ч286
Lagrangian-history direct-interaction (LHDI) theories, Lagrangian coordinates      278
Lagrangian-history direct-interaction (LHDI) theories, Lagrangian-history formulation of the equations of motion      278Ч281
Lagrangian-history direct-interaction (LHDI) theories, Lagrangian-history formulation of the equations of motion, generalized velocity, solenoidal part and curl-free part      279
Lagrangian-history direct-interaction (LHDI) theories, random Galilean invariance      285Ч286 325
Lagrangian-history direct-interaction (LHDI) theories, statistical formulation: moments of the generalized velocity field      281Ч282
Lagrangian-history direct-interaction (LHDI) theories, strain-based LHDI and ALHDI      284Ч290
Langevin equation generalized to turbulence      309 351.
Large eddy simulation (LES)      118 381.
Large eddy simulation (LES), Heisenberg-type effective viscosity      119
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