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| Landau L.D., Lifschitz E.M. — Fluid Mechanics. Vol. 6 |
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| Ïðåäìåòíûé óêàçàòåëü |
 -point 515
2-cycle 120n.
Absolute instability 95n. 103
Acoustic, boundary layer 306
Acoustic, point 331
Acoustic, streaming 305
Activation energy 484n.
Adiabatic, flow 3
Adiabatic, index 318n.
Adsorbed film, effect on motion of liquid 248—250
Alternation of turbulence 129 147n.
Amplitude, complex 253
Angle, ideal potential flow near 23
Angle, supersonic flow round 427—432
Angle, turbulent flow near 147—149 167
Antinodes 268
Attack, angle of 184
Attraction, domain of 109
Attractor 109
Attractor, stochastic 115
Attractor, strange 115
Barodiffusion coefficient 232 234
Bernoulli’s equation for an ideal fluid 9
Bernoulli’s equation for incompressible flow 18
Bernoulli’s equation for potential flow 17
Bifurcation 109
Bifurcation, period-doubling 119
Bifurcation, reverse doubling 127
Bose liquid 515
Boundary layers 15 147 (IV)
Boundary layers in intersection of shock wave with surface 425—427
Boundary layers, acoustic 306
Boundary layers, heat transfer in 210—214
Boundary layers, laminar 157—163
Boundary layers, laminar, in a compressible fluid 162n.
Boundary layers, laminar, in a converging channel 162—163
Boundary layers, laminar, in a pipe 162
Boundary layers, laminar, on a plate 159—161
Boundary layers, laminar, stability of flow in 167—172
Boundary layers, logarithmic velocity profile in 172—176
Boundary layers, separation of 163
Boundary layers, thickness of 159
Boundary layers, turbulent 178—183
Boundary layers, turbulent, on a plate 178—179
Bow wave 467
Brownian motion 235
Burgers’ equation 352n.
Capillary constant 240
Capillary wave 245—248 250
Chaplygin’s equation 443
Chaplygin’s equation for a polytropic gas 445
Chaplygin’s equation for transonic flow 447—448
Chapman — Jouguet point 491 495 498
Characteristic lines see “Characteristics”
Characteristic surface 314
Characteristics 314 391—394
Characteristics in steady two-dimensional flow 314—315 445—447 453—455
Characteristics, leaving a point 315
Characteristics, limiting 456
Characteristics, reaching a point 315
Circulation, velocity 12
Circulation, velocity, law of conservation of 13
Combustion 484
Combustion on a liquid 489
Combustion, detonation 489—500
Combustion, fluid dynamics of (XIV) 484—504
Combustion, slow 484—489
Combustion, zone 484
Compressible flow 251ff (see also “Gas flow”)
Condensation adiabatic 503—504
Condensation discontinuities 503—504
Conduction, thermal, equation of 197
Conduction, thermal, equation of, boundary conditions on 198
Conduction, thermal, in finite media 203—208
Conduction, thermal, in fluids (V) 192—226
Conduction, thermal, in incompressible fluids 196—199
Conduction, thermal, in infinite media 200—203
Conduction, thermal, pure 231
Conduction, thermal, relaxation time for 202
Conduction, thermal, turbulent 211
Conductivity, thermal 192
Conductivity, thermometric 197
Conductivity, turbulent 211
Cone, gas flow past 432—434
Contact, angles of 241
Continuity, equation of 2 (see also “Equation of continuity”)
Convected instability 104
Convection 7 208
Convection in a pipe 225—226
Convection, condition for absence of 8
Convection, free 217—221
Convection, free, on a vertical wall 219—220
Convective instability 221—226
Convective range 213
Converging channel, boundary layer in 162—163
Converging channel, flow in 76—79
Corrugation instability 336—343
Couette flow 55n.
Critical, point 108
Critical, velocity 317
Critical, velocity, in superfluids 518
Cross-section 298
Cross-section for absorption of sound by a sphere 305
Cross-section for scattering of sound by a drop 299
Cross-section for scattering of sound by a sphere 299—300
Cross-section, total 298
Cycle elements 120n.
Cylinders, flow between rotating 55—56
Cylinders, flow between rotating, stability of 99—103
Dampling of gravity waves 92—94
Dampling, coefficient 93 250
Detonation 489—500
Detonation in pipe 494—495 499—500
Detonation, adiabatic 490
Detonation, adiabatic, significance of 500—503
Detonation, spinning 499
Detonation, waves 490
Detonation, waves in a polytropic gas 492—494
Detonation, waves, over-compressed 499
Detonation, waves, propagation of 494—500
Detonation, waves, reflection of 500
Detonation, waves, stability of 501—503
Diffraction 299
Diffusion (VI) 227—237
Diffusion in absorption of sound 305
Diffusion of suspended particles 235—237
Diffusion, boundary conditions 233
Diffusion, coefficient 232
Diffusion, coefficient, baro- 232 234
Diffusion, coefficient, thermal 232
Diffusion, flux 228
Diffusion, ratio, thermal 232
Discharge 53 361
Discontinuities 320—360
Discontinuities in a sound wave 385—391
Discontinuities, boundary conditions for 320—321
Discontinuities, compression 324n.
Discontinuities, condensation 503—504
Discontinuities, contact 321
Discontinuities, initial 373
Discontinuities, initial, break-up of 374—377
Discontinuities, intersection of (XI) 414—434
Discontinuities, isothermal 357
Discontinuities, shock-wave 321 (see also “Shock waves”)
Discontinuities, surface 320—360
Discontinuities, tangential 15 107 321—324 413
Discontinuities, tangential, collision with shock waves 377
Discontinuities, tangential, instability of 106—108 247 321—322
Discontinuities, tangential, intersection of 414n.
Discontinuities, tangential, intersection with weak discontinuities 425
| Discontinuities, tangential, weak 360
Discontinuities, weak 358—360
Discontinuities, weak, intersection with shock waves 423—424
Discontinuities, weak, intersection with sonic line 461—466
Discontinuities, weak, intersection with tangential discontinuities 425
dispersion relation 33
Displacement thickness 161
Dissipation range 134
Dissipative function 525
Diverging channel, flow in 79—81
Doppler effect 264
Drag, coefficient 160 180 188
Drag, crisis 181
Drag, force 29 68
Drag, force at large Reynolds numbers 180—183
Drag, force on a wing 476 478 482
Drag, force on oscillating bodies 87—91
Drag, force on slowly moving bodies 61
Drag, force, dissipative 88
Drag, force, induced 185
Drag, force, inertial 88
Drag, wave 29 471 478
D’Alembert’s paradox 29 326
Eddies, turbulent 130
Eddies, turbulent, size of 130
Eikonal 261 393
Emulsion 301n.
Energy dissipation in a superfluid 524—526
Energy dissipation in absorption of sound 300—305
Energy dissipation in an incompressible viscous fluid 50—51 85 92—94
Energy dissipation in turbulent flow 131—132 175—176
Energy dissipation, relativistic 512—514
Energy flux density in a sound wave 256
Energy flux density in a viscous fluid 193
Energy flux density in an ideal fluid 9—10
Energy flux density, relativistic 506
Energy range 134
Energy-momentum tensor 505—506
Enthalpy 4
Entropy flux density 4
Equation of continuity 2 44
Equation of continuity for a component of a mixture 228
Equation of continuity for a film 248
Equation of continuity for a laminar boundary layer 158
Equation of continuity for a sound wave 251
Equation of continuity for entropy 4
Equation of continuity for flow in a pipe 295
Equation of continuity for incompressible flow 17
Equation of continuity for motion in a channel 34 412
Equation of continuity in cylindrical polar coordinates 48
Equation of continuity in spherical polar coordinates 49
Equation of continuity, relativistic 507
Equations of motion for a laminar boundary layer 158
Equations of motion for a mixture of fluids 227—229
Equations of motion for a sound wave 251
Equations of motion for a viscous fluid 45—49 193—194
Equations of motion for a viscous fluid for incompressible flow 46 (see also “Navier — Stokes equation”)
Equations of motion for a viscous fluid, boundary conditions on 47—48
Equations of motion for a viscous fluid, exact solutions of 75—83
Equations of motion for an ideal fluid 1—5
Equations of motion for an ideal fluid for incompressible flow 17—21
Equations of motion for an ideal fluid, boundary conditions on 4—5 18
Equations of motion, relativistic 506—510
Equations of motion, superfluid 518—524
Ergodic property 116
Error function 205
Euler — Tricomi equation 448
Euler — Tricomi equation, solutions of 449—455
Euler’s equation for a sound wave 251
Euler’s equation for a viscous fluid 44
Euler’s equation for a viscous fluid for incompressible flow 45 (see also “Navier — Stokes equation”)
Euler’s equation for an ideal fluid 3—4
Euler’s equation for an ideal fluid for incompressible flow 17
Euler’s equation, relativistic 508
Evolutionary shock waves 331—333
Exchange of stabilities 101n.
Explosion, strong 403—406
Explosion, thermal 198—199
Feigenbaum number 122
Fermat’s principle 266
Fermi liquid 515
Films, adsorbed 248—250
Films, equilibrium of 239—240 242—244
Fixed point 118
Flame 484
Flame, front 485
Flame, normal velocity of 485
Fluctuating part of velocity 130
Fluid, contour 12
Fluid, dynamics 1
Fluid, ideal 3
Fluid, particle 1
Fluid, point in 1
Fourier’s equation 197
frequency 32 96
Frequency, characteristic 267
Frequency, locking 113
Froude number 58
Gas dynamics 313 (see also “Gas flow”)
Gas flow see “Perfect gas” “Polytropic
Gas flow, one-dimensional (X) 361—413
Gas flow, one-dimensional, arbitrary 397—402
Gas flow, one-dimensional, in travelling waves 378—385
Gas flow, one-dimensional, similarity 366—373
Gas flow, past a cone 432—434
Gas flow, past finite bodies (XIII) 467—483
Gas flow, potential 435—437
Gas flow, round an angle 427—432
Gas flow, steady 316—320
Gas flow, through a nozzle 361—364
Gas flow, two-dimensional (XII) 435—466
Gas flow, two-dimensional, arbitrary (potential) 442
Gas flow, two-dimensional, in travelling waves 438—442
Gas flow, viscous, in a pipe 364—366
Gas, combustion of 484
Gas, propagation of small disturbances in 313—316
Geometrical acoustics 261 393
Geometrical acoustics in moving media 265
Grashof number 219n.
Green’s formula 11
Group velocity 263
Heat function 4
Heat transfer in a moving fluid 215—217
Heat transfer in boundary layers 210—214
Heat transfer, coefficient 209
Heat transfer, general equation of 194
Heat transfer, general equation of, for a mixture of fluids 229
Heat transfer, similarity law for 208—210
Helium, superfluid properties of 515—531
Hodograph, plane 442
Hodograph, transformation 442
Hugoniot adiabatic 325
Hydraulic, approximation 343 411
Hydraulic, jump 412
Hydrostatics 5—7
Hypersonic flow 481
Ideal flow (I) 1—43
Incompressible flow of ideal fluids 17—26
Incompressible flow of ideal fluids, conditions for 21
Incompressible flow of ideal fluids, past a body 26—31
Incompressible flow of ideal fluids, past a cylinder 22
Incompressible flow of ideal fluids, past a sphere 21—22
Incompressible flow of superfluids 525—526
Incompressible flow of viscous fluids 45
Induced-mass tensor 28
Inertial range 134
Initial point 325
Instability, absolute 103
Instability, convected 104
Instability, corrugation 336—343
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