Fluid Mechanics: Landau and Lifshitz: Course of Theoretical Physics, Volume 6, Volume 6Fluid Mechanics, Second Edition deals with fluid mechanics, that is, the theory of the motion of liquids and gases. Topics covered range from ideal fluids and viscous fluids to turbulence, boundary layers, thermal conduction, and diffusion. Surface phenomena, sound, and shock waves are also discussed, along with gas flow, combustion, superfluids, and relativistic fluid dynamics. This book is comprised of 16 chapters and begins with an overview of the fundamental equations of fluid dynamics, including Euler's equation and Bernoulli's equation. The reader is then introduced to the equations of motion of a viscous fluid; energy dissipation in an incompressible fluid; damping of gravity waves; and the mechanism whereby turbulence occurs. The following chapters explore the laminar boundary layer; thermal conduction in fluids; dynamics of diffusion of a mixture of fluids; and the phenomena that occur near the surface separating two continuous media. The energy and momentum of sound waves; the direction of variation of quantities in a shock wave; one- and two-dimensional gas flow; and the intersection of surfaces of discontinuity are also also considered. This monograph will be of interest to theoretical physicists. |
Contents
1 | |
CHAPTER II VISCOUS FLUIDS | 44 |
CHAPTER III TURBULENCE | 95 |
CHAPTER IV BOUNDARY LAYERS | 157 |
CHAPTER V THERMAL CONDUCTION IN FLUIDS | 192 |
CHAPTER VI DIFFUSION | 227 |
CHAPTER VII SURFACE PHENOMENA | 238 |
CHAPTER VIII SOUND | 251 |
CHAPTER X ONEDIMENSIONAL GAS FLOW | 361 |
CHAPTER XI THE INTERSECTION OF SURFACES OF DISCONTINUITY | 414 |
CHAPTER XII TWODIMENSIONAL GAS FLOW | 435 |
CHAPTER XIII FLOW PAST FINITE BODIES | 467 |
CHAPTER XIV FLUID DYNAMICS OF COMBUSTION | 484 |
CHAPTER XV RELATIVISTIC FLUID DYNAMICS | 505 |
CHAPTER XVI DYNAMICS OF SUPERFLUIDS | 515 |
533 | |
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Common terms and phrases
adiabatic amplitude angle axis Bernoulli's equation body boundary conditions boundary layer c₁ calculation characteristic coefficient combustion constant coordinates corresponding cross-section cylinder decreases denote derivative determined detonation wave dimensions direction dissipation distance drag entropy equation of continuity equations of motion equilibrium Euler-Tricomi equation Euler's equation expression finite flow past fluid velocity flux density formula frequency function gas velocity given gives grad gradient heat Hence increases infinity instability integral intersection Laplace's equation linear M₁ moving Navier-Stokes equation obtain oscillations P₁ p₂ parameter particles perturbation pipe plane potential flow pressure problem propagation quantities R₁ rarefaction rarefaction wave relation result Reynolds number shock wave solution sound wave sphere streamlines Substituting superfluid supersonic surface of discontinuity tangential discontinuity temperature tensor thermal conduction thermodynamic v₁ v₂ vector velocity of sound viscosity volume weak discontinuity x-axis zero др дх