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Batchelor G. — Introduction to Fluid Dynamics
Batchelor G. — Introduction to Fluid Dynamics

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Название: Introduction to Fluid Dynamics

Автор: Batchelor G.

Аннотация:

First published in 1967, Professor Batchelor's classic work is still one of the foremost texts on fluid dynamics. His careful presentation of the underlying theories of fluids is still timely and applicable, even in these days of almost limitless computer power. This reissue ensures that a new generation of graduate students experiences the elegance of Professor Batchelor's writing.


Язык: en

Рубрика: Механика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: First Edition

Год издания: 2000

Количество страниц: 635

Добавлена в каталог: 26.09.2007

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
'Stokeslet', flow due to      240
Acceleration of a material element      73
Acceleration of a material element in curvilinear co-ordinates      600
Acceleration, reaction on a moving body      405 407
Acoustic streaming      363
Acyclic flow      111
Adhesion, viscous      228
Adiabatic change of state      22
Aerofoil      435
Aerofoil, angle of incidence of      444
Aerofoil, approximate theory for thin      467
Aerofoil, generation of circulation round      438
Aerofoil, lift on      443
Aerofoil, obtained by conformal transformation of a circle      441
Air, physical properties of      594
Archimedes' theorem      16 177
Archimedes' theorem, analogue for rotating fluid      178
Aspect ratio of a wing      584
Atmosphere, equations for flow in a model      569
Atmosphere, the Standard      595
Avogadro's law      37
Axisymmetric flow      72
Axisymmetric flow with vorticity but no swirl in unbounded inviscid fluid      521
Axisymmetric flow, cylindrical      545
Axisymmetric flow, irrotational      449
Axisymmetric flow, steady with vorticity in inviscid fluid      543
Bernoulli surface      509
Bernoulli's theorem for steady motion      156 265 383 509
Bernoulli's theorem for steady motion, applications to irrotational flow      386
Bernoulli's theorem for steady motion, special forms of      161
Beta-plane approximation for motion on a rotating sphere      571
Blasius formulae for force and moment on a cylinder in steady irrotational flow      433
Body forces      7
Boltzmann distribution      40
Boltzmann's constant      43
Borda's mouthpiece      390 497
Boundary layer      302
Boundary layer at a free surface      364
Boundary layer at a free surface, attenuation of gravity waves due to      370
Boundary layer on a flat plate      308
Boundary layer on a yawed cylinder      377
Boundary layer, approximate form of equation of motion in      304
Boundary layer, displacement thickness of      311
Boundary layer, effect on flow due to moving body      336 342
Boundary layer, effects of acceleration and deceleration of the external stream      314
Boundary layer, growth of, in initially irrotational flow      321
Boundary layer, influence on shape of cavity behind a body moving through liquid      506
Boundary layer, momentum integral relation for      319
Boundary layer, momentum thickness of      320
Boundary layer, oscillatory      353
Boundary layer, oscillatory, steady streaming due to      358
Boundary layer, separation of      325
Boundary layer, similarity solution for stream velocity $cx^{m}$      316
Boundary layer, turbulent flow in      313
Bubbles in liquid, attraction due to oscillations in volume      455
Bubbles in liquid, rate of rise of spherical-cap      475
Bubbles in liquid, rising in a vertical tube      477
Bubbles in liquid, spherical, expanding      479
Bubbles in liquid, spherical, rising at large Reynolds number      367
Bubbles in liquid, spherical, rising at small Reynolds number      237
Bulk modulus of elasticity      24
Buoyancy force in a moving fluid      177
Buoyancy force on a body in fluid at rest      17
Camber of an aerofoil      446
Capillarity      67
Carnot's law      43
Cavitation      55 481
Cavitation in the tip vortex from a propeller      484
Cavitation, due to acceleration of liquid      485
Cavitation, number      483 491
Cavitation, sheet      491
Cavity in liquid, attached to a body in steady flow      502
Cavity in liquid, attached to a body in steady flow, air or vapour-filled      492
Cavity in liquid, attached to a body in steady flow, behind a flat plate, at ambient pressure      497
Cavity in liquid, attached to a body in steady flow, with non-zero cavitation number      503 505
Cavity in liquid, collapse of      486 488
Cavity in liquid, examples of formation in steady flow      482
Cavity in liquid, examples of formation in unsteady flow      485
Channel, steady flow in a converging or diverging      294
Chord of an aerofoil      445
Circle theorem      422
Circular cylinder in inviscid fluid rotating rigidly at infinity      540
Circular cylinder, circulation developed by rotation and translation of      427
Circular cylinder, damping force on oscillating      357
Circular cylinder, embedded in a simple shearing motion of inviscid fluid      542
Circular cylinder, flow due to rotation of      203
Circular cylinder, flow due to translation of assumed irrotational      424
Circular cylinder, flow due to translation of assumed irrotational at large Reynolds number      338 340 426
Circular cylinder, flow due to translation of assumed irrotational at Reynolds numbers between 1 and 100      257
Circular cylinder, flow due to translation of assumed irrotational at small Reynolds number      244
Circular cylinder, flow due to translation of assumed irrotational, development from rest      324 337
Circular streamlines, flow with      201
Circular tube, starting flow in      193
Circular tube, steady flow in      180
Circulation round a closed curve      93
Circulation round a closed curve, constancy in inviscid fluid      273
Circulation round a closed curve, effect of viscosity on      269
Collision between molecules      37 50
Complex potential for two-dimensional motion      107 409
Complex potential for two-dimensional motion, flow past a circular cylinder      421
Complex potential for two-dimensional motion, flow past an elliptic cylinder      429
Complex potential for two-dimensional motion, point vortex      111
Complex potential for two-dimensional motion, simple flow fields      410
Compressibility, coefficient of      24
Compressibility, coefficient of, of a liquid      56
Compressibility, coefficient of, of a perfect gas      43
Compressibility, coefficient of, of water      595
Conduction of heat      29
Conduction of heat in a moving fluid      136
Conformal transformation of two-dimensional irrotational flow      413
Conformal transformation of two-dimensional irrotational flow, use in free-streamline problems      494
Conical similarity of flow due to a highly swept wing      593
Conjugate functions      107
Conservation laws for a fluid in motion      135
Constitutive relations      32
Continuity equation      74
Continuum Hypothesis      4
Contraction coefficient for a jet from an orifice      388 497
Control surface      139
Convective rate of change      73
Coriolis force      140 555
Coriolis force, balance with frictional force in an Ekman layer      196
Coriolis force, effect on flow of dominance of      557 572
Coriolis force, modification of pressure to allow for      178
Coriolis force, restoring effect of      556
Corner, flow with negligible inertia forces near a      224
Critical point of a liquid-vapour system      54
Crocco's relation      160
Cyclic constant      110
Cyclonic flow system      572
D'Alembert's paradox      332 405
Darcy's law      224
Deviatoric stress tensor      142
Deviatoric stress tensor, relation to rate-of-strain tensor      144
Diffusion in a moving fluid      136
Diffusion of matter      29
Diffusion, coefficient of      33
Diffusion, coefficient of, for a perfect gas      49
Diffusion, coefficient of, for solutes in liquids      58 595
Diffusion, solution for an initial source      186
Diffusivity, thermal      35
Diffusivity, thermal, measured values of      597
Dispersion of vorticity distribution in two-dimensional unbounded flow      528 536
Displacement thickness      311
Dissipation of energy due to viscosity      153
Doubly-connected region, irrotational flow in      109
Downwash due to trailing sheet vortex from a wing      588
Drag on a body in a stream, with an attached cavity      500 503
Drag on a body moving steadily through fluid      331
Drag on a body moving steadily through fluid at high Reynolds number, with separation      339
Drag on a body moving steadily through fluid at high Reynolds number, without separation      335
Drag on a body moving steadily through fluid, effect of transition to turbulence in the boundary layer      342
Drag on a body moving steadily through fluid, zero in an inviscid fluid      332
Drag on a circular cylinder or a sphere at large Reynolds number      341
Drag on a circular cylinder or a sphere at Reynolds numbers from 1 to 100      234 261
Drag on a circular cylinder or a sphere at small Reynolds number      233 246
Drag on a spherical gas bubble at large Reynolds number      367
Drag on a spherical gas bubble at small Reynolds number      237
Drag, form      332
Drag, induced, on a lifting body      331 582
Draining plate      263
Drift of fluid elements due to progressive wave      363
Dynamical similarity      213
Efflux from a circular orifice      387
Ekman layer in a rotating fluid      195
Ekman layer in a rotating fluid at a free surface      197
Ekman layer in a rotating fluid at a rigid plane boundary      199 293
Ellipsoid of revolution, irrotational flow due to motion of      455
Elliptic, co-ordinates      439 455
Elliptic, cylinder, irrotational flow due to motion of      427
Elliptic, loading of wing      587
Elliptic, tube, flow in an      182
Enthalpy      25
Enthalpy of a perfect gas      43
Enthalpy, stagnation      160
entropy      24
Entropy of a perfect gas      43
Equation of motion      137
Equation of motion for a Newtonian fluid      147 174
Equation of motion in cylindrical co-ordinates      602
Equation of motion in polar co-ordinates      600 602
Equation of motion, relative to moving axes      139
Equation of state      21
Equation of state for a perfect gas      43
Equation of state for water      56
Equilibrium of a fluid      4 20
Equipartition of energy, principle of      41
Eulerian specification of the flow field      71
Expansion viscosity      154
Expansion viscosity of a suspension of bubbles      253
Expansion, rate of      75
Fluid, Newtonian      146
Fluid, self-gravitating      18
Fluid, simple      1
Flux vector      31
force      see also "Drag" "Lift
Force on a moving body in accelerating fluid      409
Force on a moving body in steady motion      331
Force on a moving body with irrotational flow      404
Force on a regular array of bodies in a stream      372 375
Force on a semi-infinite axisymmetric body with irrotational flow      462
Force on a steadily moving cylinder with irrotational flow      433
Force on sharp edge of a plate due to irrotational flow round it      412
Force, buoyancy      17 177
Force, damping, on oscillating body      355
Force, surface or contact      7
Force, volume or body      7
Free shear layers at large Reynolds number      346
Free streamline theory for steady two-dimensional flow      493
Free surface of liquid, conditions at      150
Geostrophic flow in a rotating fluid      572
Gradient wind      573
Growth rate of disturbance to a sheet vortex      516
Harmonics, circular      127
Harmonics, spherical      121
Hele-Shaw cell      222
Helmholtz free energy      25
Helmholtz free energy, contribution of surface tension to      61
Homenergic flow      160
Homentropic flow      156 166
Impact of a body on a free surface of liquid      473
Impulse, fluid      408 518 529
Impulsive motion of a fluid      471
Incompressible fluid      75 147
Incompressible fluid, conditions for behaviour as      167
Indicator diagram      23
Indicator diagram for liquid-vapour system      54
Induced drag on a lifting body      331 582
Inertia, force      241
Inertia, waves in a rotating fluid      564
Internal energy      21
Internal energy of a perfect gas      43
Internal energy, changes in, in a moving fluid      151
Internal energy, contribution from rotational and vibrational modes to      45
Internal energy, equation      153
Irrotational motion of fluid in a rotating ellipsoid      506
Irrotational motion of fluid in the angle between two plane walls      411
Irrotational motion of fluid, axisymmetric      449
Irrotational motion of fluid, due to a moving rigid body      398
Irrotational motion of fluid, due to a plate with an attached cavity in a stream      497
Irrotational motion of fluid, due to translation of a body simulated by sources on the axis      458 464
Irrotational motion of fluid, due to translation of a circular cylinder      129 424
Irrotational motion of fluid, due to translation of a cylinder of given shape      421
Irrotational motion of fluid, due to translation of a ellipsoid of revolution      455
Irrotational motion of fluid, due to translation of a elliptic cylinder      427
Irrotational motion of fluid, due to translation of a flat plate      431 432 436
Irrotational motion of fluid, due to translation of a semi-infinite body      460
Irrotational motion of fluid, due to translation of a slender body      463 466
Irrotational motion of fluid, due to translation of a sphere      123 452
Irrotational motion of fluid, expression for pressure in      383
Irrotational motion of fluid, general properties of      380
Irrotational motion of fluid, kinetic energy of      383
Irrotational motion of fluid, made steady by a choice of rotating axes      396
Irrotational motion of fluid, persistence of      276
Irrotational motion of fluid, regarded as due to a layer of sources or doublets      130
Irrotational vector, definition of      81
Isentropic change of state      24
Isentropic flow      156 165
Isotropic medium, diffusion and heat conduction in      32
Jeffery — Hamel flow      294
Jet from a steady point source of momentum      205
Jet in two dimensions, at large Reynolds number      344
Jet of liquid from an orifice in two dimensions      495
Jet of liquid impinging on a plane wall      392 501
Jet, adjoining a rigid wall      377
Jets of liquid impinging to form a sheet      506
Joukowski transformation and aerofoils      444
Joukowski's hypothesis for circulation round an aerofoil in steady motion      437 438
Kelvin's circulation theorem      273 380
Kelvin's minimum energy theorem      384
Kinematic viscosity      37 175
Kinetic energy of irrotational flow due to a moving body      402
Kinetic energy of unbounded fluid in motion with vorticity      520
Kinetic energy of unbounded fluid in motion with vorticity in two dimensions      529
Kinetic theory of gases      37
Kundt's dust tube      363
Lagrangian specification of flow field      71
Laplace's equation      101
Laplace's equation, in orthogonal curvilinear co-ordinates      599
Lift force on a body moving through fluid      331 580
Lift force on a wing      586
Lift force, due to circulation round a moving cylinder      406 434
Lift force, due to circulation round a moving cylinder for a Joukowski aerofoil      446 447
Lift force, due to circulation round a moving cylinder for a thin aerofoil      470
Lift force, due to circulation round a moving cylinder for any aerofoil      443
Lifting-line theory for wings of large aspect ratio      583
Line vortex      93
Line vortex, being extended and diffused      272
Line vortex, circular      511 521
Line vortex, self-induced movement of      509
Line vortex, spreading due to viscosity      204
Loschmidt's number      37
Lubrication theory      219
Mach number      168
Magnus effect      427
Mass-conservation equation      74
Material, boundary, conditions at a      148
Material, derivative      73
Material, elements      71
Material, elements, rates of change of      131
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