Fluid mechanics / by L.D. Landau and E.M. Lifshitz ; translated from the Russian by J.B. Sykes and W.H. Reid

Includes bibliographical references and index

Cover image; Title page; Table of Contents; Other Titles in the Series; Inside Front Cover; Copyright; PREFACE TO THE SECOND ENGLISH EDITION; PREFACE TO THE FIRST ENGLISH EDITION; EVGENI MIKHA LOVICH LIFSHITZ (1915-1985); NOTATION; Chapter 1: IDEAL FLUIDS; Publisher Summary; 1 The equation of continuity; 2 Euler's equation; 3 Hydrostatics; 4 The condition that convection be absent; 5 Bernoulli's equation; 6 The energy flux; 7 The momentum flux; 8 The conservation of circulation; 9 Potential flow; 10 Incompressible fluids; 11 The drag force in potential flow past a body. 12 Gravity waves13 Internal waves in an incompressible fluid; 14 Waves in a rotating fluid; Chapter 2: VISCOUS FLUIDS; Publisher Summary; 15 The equations of motion of a viscous fluid; 16 Energy dissipation in an incompressible fluid; 17 Flow in a pipe; 18 Flow between rotating cylinders; 19 The law of similarity; 20 Flow with small Reynolds numbers; 21 The laminar wake; 22 The viscosity of suspensions; 23 Exact solutions of the equations of motion for a viscous fluid; 24 Oscillatory motion in a viscous fluid; 25 Damping of gravity waves; Chapter 3: TURBULENCE; Publisher Summary. 26 Stability of steady flow27 Stability of rotary flow; 28 Stability of flow in a pipe; 29 Instability of tangential discontinuities; 30 Quasi-periodic flow and frequency locking! ; 31 Strange attractors; 32 Transition to turbulence by period doubling; 33 Fully developed turbulence; 34 The velocity correlation functions; 35 The turbulent region and the phenomenon of separation; 36 The turbulent jet; 37 The turbulent wake; 38 Zhukovski's theorem; Chapter 4: BOUNDARY LAYERS; Publisher Summary; 39 The laminar boundary layer; 40 Flow near the line of separation. 41 Stability of flow in the laminar boundary layer42 The logarithmic velocity profile; 43 Turbulent flow in pipes; 44 The turbulent boundary layer; 45 The drag crisis; 46 Flow past streamlined bodies; 47 Induced drag; 48 The lift of a thin wing; Chapter 5: THERMAL CONDUCTION IN FLUIDS; Publisher Summary; 49 The general equation of heat transfer; 50 Thermal conduction in an incompressible fluid; 51 Thermal conduction in an infinite medium; 52 Thermal conduction in a finite medium; 53 The similarity law for heat transfer; 54 Heat transfer in a boundary layer. 55 Heating of a body in a moving fluid56 Free convection; 57 Convective instability of a fluid at rest; Chapter 6: DIFFUSION; Publisher Summary; 58 The equations of fluid dynamics for a mixture of fluids; 59 coefficients of mass transfer and thermal diffu; 60 Diffusion of particles suspended in a fluid; Chapter 7: SURFACE PHENOMENA; Publisher Summary; 61 Laplace's formula; 62 Capillary waves; 63 The effect of adsorbed films on the motion of a liquid; Chapter 8: SOUND; Publisher Summary; 64 Sound waves; 65 The energy and momentum of sound waves