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Acheson D.J. — Elementary Fluid Dynamics
Acheson D.J. — Elementary Fluid Dynamics



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Название: Elementary Fluid Dynamics

Автор: Acheson D.J.

Аннотация:

The study of fluid dynamics is a central theme in modern applied mathematics. It is used to model a vast range of physical phenomena and plays a vital role in science and engineering. This textbook provides a clear introduction to both the theory and application of fluid dynamics that is suitable for all undergraduates coming to the subject for the first time. Students need only a basic knowledge of vector calculus, complex analysis, and simple methods of solving differential equations. Numerous exercises (with hints and answers) illustrate the main ideas and serve to organize the reader's understanding. The wide range of topics discussed include inviscid and viscous flows, waves in fluids, boundary layer flow, and instability in flows, along with historical information and many references to important experiments. This is a comprehensive and absorbing introduction to the mathematical study of fluid behavior.


Язык: en

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1990

Количество страниц: 408

Добавлена в каталог: 16.02.2014

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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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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