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| Acheson D.J. — Elementary Fluid Dynamics |
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| Предметный указатель |
Phase function 72
Pipe flow 51 300
Piston problem 102
Poiseuille flow 51 300
Polystyrene beads 3
potential flow see Irrotational flow
Prandtl number 313
Prandtl — Batchelor theorem 189
Prandtl’s paper 260
Predictability 336
Pressure 6 208
Pressure gradient, adverse 29 287
Pressure gradient, hydrostatic 9
Principal axes 214
Quantized vortices 185
Quarter-chord point 155
Radiation condition 82
Rankine vortex 15 24
Rankine — Hugoniot relations 104
Rate of change following the fluid 4
Rate of strain tensor 212
Rate of strain tensor, components in curvilinear coordinates 214 353 355
Rayleigh criterion (circular flow) 318
Rayleigh number 311
Rayleigh problem 35
Rayleigh — Taylor instability 112
Rayleigh’s inflection point theorem 323
Resistance see Drag
Reversed flow near solid boundary 29 179 251 287
Reversibility 33 234
Reynolds number, and dynamic similarity 51
Reynolds number, and instability 300
Reynolds number, definition 31
Reynolds number, flow at high 31 49 150 190 260 300
Reynolds number, flow at low 32 221
Reynolds number, physical significance 31
Reynolds number, typical values 50
Reynolds’s transport theorem 206
Richardson number 305
Ripple tank 113
Rolls, convection 312
Rotating cylinders, flow between 44 313 330
Rotating fluid, at low Reynolds number 32 234 249 252
Rotating fluid, between discs 54 251 278 298
Rotating fluid, slow relative motion in 279
Rotating fluid, spin-down of 164 284
Rotating fluid, waves in 116
Russell, J. S. 63
Salt fingers 345
Secondary flow 54 165 252 281 285 298
Separation of boundary layer see Boundary layer
Shallow water, waves on 79 89 108 119
Shear stress 26 210
Ship waves 57
Shock wave 62
Shock wave, caused by a piston 103
Shock wave, conditions across 104
Shock wave, oblique 104
Shock wave, thickness of 63 107
Similarity solution 36 247 258 261 271 275 292
Simple shearing motion 27 34
Sink see Source
Slider bearing 248
Slope, flow down 38 245
Slow flow equations 221 233
Slowly-varying waves 72
Smoke ring 168
Solid boundary, conditions at, for inviscid fluid 199
Solid boundary, conditions at,for viscous fluid 26 30 330
Solitary wave 64 108
Soliton 110
Sound barrier 61
Sound waves of infinitesimal amplitude 79
Sound, speed of 58 81
Source, line 151
Source, point 152
Specific heat 79 307
Sphere, flow due to a moving, at high Reynolds number 290
Sphere, flow due to a moving, at low Reynolds number 223
Sphere, flow due to a moving, irrotational 199
Spherical vortex, Hill’s 175
Spin-down 45 164 284
Spreading drop 257
Stability of viscous flow 326 (see also Instability)
Stagnation point, flow near 48 55 126 291
STALL 30
Steady flow, definition of 2
Steepening, of sound waves 62 103
Steepening, of water waves 63 98
Stokes flow see slow flow equations
Stokes waves see Water waves
Stokes’s law for drag on a moving sphere 226
Stokes’s stream function 173 223
Stokes’s theorem 350
Stratified fluid, interfacial waves 58 111
Stratified fluid, internal gravity waves 86
Stratified fluid, shear flow instability 344
Stream function in 2D flow 123
Stream function in axisymmetric flow 173
Streamlined body 151
Streamlines, and particle paths 4 25
Streamlines, and the stream function 124
Streamlines, definition 3
Strength of vortex tube 163
Stress 26 203
Stress tensor 203
| Stress tensor for Newtonian viscous fluid 207 209
Stress tensor, symmetry of 207 220
Stress vector 203
Stress vector for Newtonian viscous fluid 209
Subcritical and supercritical flow 101
Subsonic and supersonic flow 59 105
Suction, delaying separation by 263
Suction, flow along channel with 52
Suffix notation and summation convention 204 233
Superfluid dynamics 185
Surface tension 57 74 112 305 313
Surface waves see Water waves
Swimming, at low Reynolds number 234
Tap, dripping 338
Taylor shock 63
Taylor vortices 314 319 333 338
Taylor — Goldstein equation 344
Taylor — Proudman theorem 280
Taylor, G. I. 234 342
Teacup, spin-down in 45 164 284
Tensor, isotropic 209 219
Tensor, stress 203
terminal velocity 226
Thermal conduction 36 79 307
Thermal convection 305
Thin film flow 222 238
Tornado 164
torque 141 143 202 218 252
Trailing edge, Kutta — Joukowski condition 20 140
Trailing edge, separation at 1 158 288
Transition to turbulence, boundary layer 290 340
Transition to turbulence, chaos 339
Transition to turbulence, jet 295
Transition to turbulence, pipe flow 300
Transition to turbulence, thermal convection 312
Transition to turbulence, wake 150 180
Transonic flow 105
Triple-deck 288
Turbulence, in hydraulic jump 100
Turbulence, nature of 341 (see also Transition to turbulence)
Turbulent spot 340
Two-dimensional flow, definition 2
Uniqueness of irrotational flow 199
Uniqueness of steady viscous flow 330 (see also Non-uniqueness)
Velocity potential 122
Viscosity, and Reynolds number 31
Viscosity, coefficient of 26 207
Viscosity, kinematic 26
Viscosity, measured values 28
Viscous dissipation of energy 54 216
Volume flux 40
Vortex line, definition 162
Vortex line, moves with an inviscid fluid 162
Vortex pair behind 180 194
Vortex street behind 180 184 194
Vortex tube 162
Vortex, atoms 169
Vortex, Burgers 187
Vortex, elliptical 185
Vortex, Hill’s spherical 175
Vortex, line vortex 12 125
Vortex, line vortex, near corner 193
Vortex, line vortex, near wall 193
Vortex, line vortex, viscous diffusion of 46
Vortex, merging 186
Vortex, pair 177
Vortex, Rankine 15
Vortex, rings 168
Vortex, rings, collision 171
Vortex, rings, instability 172
Vortex, shedding 1 150 159 181 288
Vortex, sheet 38 290
Vortex, starting 1 159 288
Vortex, street 180 194
Vortex, stretching 164 187
Vortex, surface 163
Vortex, Taylor problem 314 319 333 338
Vortex, theorems 162
Vortex, trailing 22
Vorticity, convection and diffusion 48 187
Vorticity, definition 10
Vorticity, equation, in 2D flow 17
Vorticity, equation, in axisymmetric flow 167
Vorticity, equation, in general flow 17
Vorticity, equation, viscous 48 187
Vorticity, generated at a solid boundary 37 46 179 261
Vorticity, generation by buoyancy forces 86 305
Vorticity, in turbulent flow 341
Vorticity, intensification by stretching of vortex lines 164 166 187 285
Vorticity, meter 14
Vorticity, physical interpretation 11 212
Vorticity, shed into wake 28 150 181 261 295
Vorticity, theorems for an inviscid fluid 162
Vorticity, viscous diffusion of 33 37 48 187
Wake, circular cylinder 28 150 181 262 289
Wake, streamlined body 29 151 295
Water waves, at interface between two fluids 111
Water waves, dispersion 56 69
Water waves, energy 114
Water waves, finite amplitude, in shallow water 89
Water waves, finite depth 78
Water waves, group velocity 56 73
Water waves, particle paths 69
Water waves, surface tension effects on 74
Wave drag 61
Wave packet 57 69
Whitehead’s paradox 226
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