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| Landau L.D., Lifschitz E.M. — Fluid Mechanics. Vol. 6 |
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| Ïðåäìåòíûé óêàçàòåëü |
Intermittency of turbulence 147n.
Irrotational flow 14
Isentropic flow 4
Jet from a slit, form of 25—26
Jet, laminar convective 220—221
Jet, submerged laminar 81—83
Jet, submerged turbulent 149—151 220
Jet, turbulent 147—152
Jouguet point see “Chapman — Jouguet point”
Joukowski’s theorem see “Zhukovskii’s theorem”
Kelvin’s theorem on circulation 13
Kinetic coefficients 230
Kinetic coefficients, symmetry principle for 230
Kolmogorov and Obukhov’s law 133
Kutta — Joukowski theorem see “Zhukovskii’s theorem”
Lagrangian variable 5
Laminar flow 110
Landau constant 97
Laplace’s formula for 239
Lift coefficient 184
Lift force 29 69
Lift force on a wing 153—155 184 189—191 475 478 483
Limit cycle 108
Limit point 108
Limiting line 444
Logarithmic velocity profile 174
Loitsyanskii’s integral 140
Lyapunov characteristic indices 117
Mach, angle 314
Mach, number 182 314
Mach, reflection 427
Mach, surface 314
Mass flux density 2
Mass transfer coefficient 232
Metastable flow 97
Mixed flow 447
Mixing length 151n.
Mobility of suspended particles 235
Mobility of suspended particles, Einstein’s relation for 236
Momentum flux density tensor in a viscous fluid 44
Momentum flux density tensor in an ideal fluid 12
Momentum flux density tensor, relativistic 506
Multiplier 109
Navier — Stokes equation 45
Navier — Stokes equation for a laminar boundary layer 158
Navier — Stokes equation in cylindrical polar coordinates 48
Navier — Stokes equation in spherical polar coordinates 49
Neutral curve 104 168
nodes 268
Normal flow (of superfluid) 516
Normal part (of superfluid) 516
Notation xiv
Nozzle 361
Nozzle, de Laval 362
Oscillations in a viscous fluid 83—92
Oscillations in an ideal fluid 16
Oscillations in finite media 267—269
Oscillations of a half-plane 85n.
Oscillations of a plane 83—85
Oscillations of a sphere 30—31 91—92
Oscillations of a spherical drop 245—247
Oscillations, degenerate 247
Oscillations, sound 251 281
Oseen’s equation 62
Over-compressed detonation waves 499
Peclet number 209n.
Penetration, depth of 84
Perfect gas 318 (see also “Poly tropic gas”)
Period doubling 119—128
Phase space 108n.
phase velocity 263
Physical plane 442
Pipes, (slow) combustion in 487
Pipes, absorption of sound in 304
Pipes, convection in 225—226
Pipes, detonation in 494—495 499—500
Pipes, emission of sound from 296—297
Pipes, equation of continuity for flow in 295
Pipes, laminar boundary layer in 162
Pipes, laminar flow in 51—55
Pipes, laminar flow in, stability of 103—106
Pipes, narrow, propagation of sound in 294—297
Pipes, resistance coefficient for 177
Pipes, resistance law for 176
Pipes, shock waves in 343—345
Pipes, similarity flow in 366 370—373
Pipes, similarity flow in, characteristics for 391—392
Pipes, turbulent flow in 176—179
Pipes, viscous gas flow in 364—366
Plane flow 19
Plane flow of gas (XII) 435—466
Plate, flow along a, laminar 159—162
Plate, flow along a, turbulent 178—179
Poincare mapping 118
Poiseuille flow 53n.
Poisson’s formula 275
Polytropic gas 318
Polytropic gas, arbitrary one-dimensional flow of 399
Polytropic gas, detonation in 492—494
Polytropic gas, flow in pipes 370—372 382—385
Polytropic gas, flow through a heated tube 363
Polytropic gas, shock waves in 333—336
Polytropic gas, steady flow of 318—320
Polytropic gas, thermodynamic relations for 318
Potential flow of a gas 435—437
Potential flow of an ideal fluid 14—17
Prandtl number 209
Prandtl number for diffusion 213n.
Prandtl’s equations 158
Pressure coefficient 477
Proper frame 505
Proper values 505
Quantum fluids 515
Rarefaction waves, form of streamlines 419
Rarefaction waves, non-steady (one-dimensional) 368—370
Rarefaction waves, non-steady (one-dimensional), centred 391 402
Rarefaction waves, non-steady (one-dimensional), isothermal 372
Rarefaction waves, steady (two dimensional) 416—419 439
Rarefaction waves, steady (two dimensional), centred 439
Rayleigh number 219
Rays, sound 261
Reciprocity principle 294
Reciprocity principle for dipole emission 294
Reflection coefficient 260
Relativistic fluid dynamics (XV) 505—514
Relativistic fluid dynamics of dissipative processes 512—514
Relativistic fluid dynamics, energy-momentum tensor 505—506
Relativistic fluid dynamics, equations of motion 506—510
Resistance coefficient for a pipe 177
Resistance law for a pipe 177
Resonator 268
Reynolds number 57
Reynolds number for turbulent eddies 130
Reynolds number in gas dynamics 313
Reynolds number, critical 96 (see also “Drag crisis”)
Reynolds number, flow at small 58—67
Reynolds stress tensor 175n.
Riemann invariants 394 446
Ripples 245
Rotational flow 14
Saddle paths 115
Scenario 110
Self-excitation, hard 97n.
Self-excitation, soft 97n.
Self-similarity 133n. 150
Separation 15 147 163
Separation, line of 147
Separation, line of, flow near 163—167
Sequence mapping 118
Shallow-water theory 411—413
| Shock see “Shock wave”
Shock adiabatic 325
Shock adiabatic, relativistic 511
Shock polar 347
Shock waves (IX) 313—360
Shock waves in a pipe 343—345
Shock waves in a poly tropic gas 333—336
Shock waves in a relaxing medium 355—356
Shock waves in detonation 489—494
Shock waves, back of 324
Shock waves, boundary conditions at 320—321
Shock waves, collision of 377 422
Shock waves, collision of, with tangential discontinuities 377
Shock waves, damping of 387—390
Shock waves, evolutionary 332
Shock waves, formed in flow past bodies 441—442 467—470
Shock waves, formed in sound waves 381—382 385—390
Shock waves, front of 324
Shock waves, imploding spherical 406—411
Shock waves, instability of 336—341
Shock waves, intersection of 414—425
Shock waves, intersection of, with a solid surface 425—427
Shock waves, intersection of, with a weak discontinuity 423—424
Shock waves, normal 324n.
Shock waves, oblique 324n. 345—350
Shock waves, potential flow behind 435—437
Shock waves, reflection of 377—378 426—427
Shock waves, reflection of, regular 426
Shock waves, relativistic 510—512
Shock waves, stability of 331—333 336—341
Shock waves, strong spherical 403—406
Shock waves, thickness of 350—353
Shock waves, variation of quantities in 329—331
Shock waves, weak 327—329 435—437
Shock waves, weak and strong families of 349
Shooting flow 412
Similarity for flow past a cone 432—434
Similarity for heat transfer 208—210
Similarity for hypersonic flow 481—483
Similarity for one-dimensional gas flow 366—373
Similarity for transonic flow 479—481
Similarity in a laminar boundary layer 159
Similarity in viscous flow 56—58
Similarity, index 407
Sonic, analogy 471 481
Sonic, flow 456—461
Sonic, line 452 461—466
Sonic, surface 447
Sound (VIII) 251—312
Sound waves 251—281
Sound waves in a superfluid 526—531
Sound waves in the second approximation 385
Sound waves, cylindrical 271—273
Sound waves, cylindrical, monochromatic 272
Sound waves, cylindrical, stationary 272
Sound waves, damping of 381 385
Sound waves, direct 276
Sound waves, discontinuities in 385—391
Sound waves, energy of 255—257
Sound waves, formation of shock waves in 381—382 385—390
Sound waves, lateral 276—281
Sound waves, longitudinal 252
Sound waves, mean pressure change in 257—259 270 273
Sound waves, monochromatic 253—254
Sound waves, plane 252
Sound waves, plane, monochromatic 253
Sound waves, plane, of arbitrary amplitude 378—385
Sound waves, plane, stationary 268
Sound waves, plane, travelling 252
Sound waves, reflected 259 277 341
Sound waves, reflection and refraction of 259—260 323—324
Sound waves, refracted 259
Sound waves, spherical 269—271
Sound waves, spherical, monochromatic 270
Sound waves, spherical, reflection of 276
Sound waves, spherical, stationary 270
Sound waves, stationary 268
Sound waves, travelling 252 267
Sound, absorption of 300—305
Sound, absorption of, at a wall 303—304
Sound, absorption of, by a sphere 305
Sound, absorption of, coefficient of 301
Sound, absorption of, due to diffusion 305
Sound, absorption of, in a pipe 304
Sound, absorption of, in a two-phase system 301n.
Sound, emission of 281—289
Sound, emission of, by an oscillating cylinder 284—285 288
Sound, emission of, by an oscillating sphere 286—287
Sound, emission of, dipole 284
Sound, emission of, from a tube 296—297
Sound, emission of, near a wall 288
Sound, excitation by turbulence 289—291
Sound, first 529—531
Sound, fourth 53 In.
Sound, propagation of, in a gravitational field 263
Sound, propagation of, in a moving medium 263—266
Sound, propagation of, in a superfluid 526—531
Sound, propagation of, in a tube 294—297
Sound, scattering of 297—300
Sound, scattering of, by a drop 299
Sound, scattering of, by a sphere 299—300
Sound, second 529—531
Sound, third 531n.
Sound, velocity of 252—253
Sound, velocity of, at high temperatures 255
Sound, velocity of, in a two-phase system 254—255
Sound, velocity of, local 314
Sound, velocity of, relativistic 509
Source, imaginary 277
Space of states 108
Span of wing 153 183
Spectral representation 142
Spectrum, continuous 96n.
Spectrum, discrete 96n.
Stability of a flame 486—487 501—503
Stability of flow between rotating cylinders 99—103
Stability of flow in a laminar boundary layer 167—172
Stability of flow in a pipe 103—106
Stability of shock waves 331—333 336—341
Stability of steady flow 95—97
Stability of tangential discontinuities 106—108
Stability, global 106
Stability, neutral 104
Stagnation point 18
Stagnation point, boundary layer near 162
Stagnation point, ideal flow near 23
Steady flow 8
Steady flow of gases 316—320 439
Steady flow, stability of 95—97
Stochastic attractor 115
Stokes’ formula 61—64
Strange Attractor 115
Stream function 19
Streaming flow 412
Streaming, acoustic 305
Streamlined bodies 183
Streamlined bodies in supersonic flow 470—479
Streamlined bodies, flow past 183—191
Streamlines 8 14
Streamlines in a rarefaction wave 419
Stress tensor 44
Stress tensor in an incompressible fluid 46
Stress tensor in an incompressible fluid in cylindrical polar coordinates 48
Stress tensor in an incompressible fluid in spherical polar coordinates 49
Stress tensor, viscous 45
Strouhal number 58
Subsonic flow 313
Subsonic flow, past a thin wing 474—476
Substantial derivative 3n.
Summation convention xiv
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