Fluid Mechanics : Landau and Lifshitz: Course of Theoretical Physics, Volume 6

Fluid 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.

This is the most comprehensive introductory graduate or advanced undergraduate text in fluid mechanics available. It builds up from the fundamentals, often in a general way, to widespread applications, to technology and geophysics.

New to this second edition are discussions on the universal dimensions similarity scaling for the laminar boundary layer equations and on the generalized vector field derivatives. In addition, new material on the generalized streamfunction treatment shows how streamfunction may be used in three-dimensional flows. Finally, a new Computational Fluid Dynamics chapter enables compulations of some simple flows and provides entry to more advanced literature.

* Basic introduction to the subject of fluid mechanics, intended for undergraduate and beginning graduate students of science and engineering.

* Includes topics of special interest for geophysicists and to engineers.

* New and generalized treatment of similar laminar boundary layers, streamfunctions for three-dimensional flows, vector field derivatives, and gas dynamics. Also a new generalized treatment of boundary conditions in fluid mechanics, and expanded treatment of viscous flows.

Audience: Physics graduate and advances undergraduate students; also researchers in the field of statisical physics.

Content: Other Titles in the Series , Page ifc2 Inside Front Cover , Page ii Front Matter , Page iii Copyright , Page iv PREFACE TO THE SECOND ENGLISH EDITION , Page ix PREFACE TO THE FIRST ENGLISH EDITION , Page x EVGENI MIKHA LOVICH LIFSHITZ (1915–1985) , Pages xi-xii NOTATION , Page xiii CHAPTER I - IDEAL FLUIDS , Pages 1-43 CHAPTER II - VISCOUS FLUIDS , Pages 44-94 CHAPTER III - TURBULENCE , Pages 95-156 CHAPTER IV - BOUNDARY LAYERS , Pages 157-191 CHAPTER V - THERMAL CONDUCTION IN FLUIDS , Pages 192-226 CHAPTER VI - DIFFUSION , Pages 227-237 CHAPTER VII - SURFACE PHENOMENA , Pages 238-250 CHAPTER VIII - SOUND , Pages 251-312 CHAPTER IX - SHOCK WAVES , Pages 313-360 CHAPTER X - ONE-DIMENSIONAL GAS FLOW , Pages 361-413 CHAPTER XI - THE INTERSECTION OF SURFACES OF DISCONTINUITY , Pages 414-434 CHAPTER XII - TWO-DIMENSIONAL GAS FLOW , Pages 435-466 CHAPTER XIII - FLOW PAST FINITE BODIES , Pages 467-483 CHAPTER XIV - FLUID DYNAMICS OF COMBUSTION , Pages 484-504 CHAPTER XV - RELATIVISTIC FLUID DYNAMICS , Pages 505-514 CHAPTER XVI - DYNAMICS OF SUPERFLUIDS , Pages 515-531 INDEX , Pages 533-539