Fluid mechanics

Author(s)

• Landau, Lev Davidovich
• Lifshit︠s︡, E. M. (Evgeniĭ Mikhaĭlovich)
• Sykes, J. B.
• Reid, William Hill

Bibliographic Information

Fluid mechanics

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

（Course of theoretical physics, v. 6）

Butterworth-Heinemann, 1998

2nd English ed., revised, repr. with corrections

• : flexicover

Other Title

Механика сплошных сред

Note

Translation of: Mekhanika sploshnykh sred

"First edition 1959, second edition 1987" -- T. p. verso

Includes index

Description and Table of Contents

Description

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.

Table of Contents

Prefaces to the English Editions E. M. Lifshitz Notation I. Ideal Fluids 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 Waves 13 Internal Waves in an Incompressible Fluid 14 Waves in a Rotating Fluid II. Viscous Fluids 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 III. Turbulence 26 Stability of Steady Flow 27 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 Zhukovskii's Theorem IV. Boundary Layers 39 The Laminar Boundary Layer 40 Flow Near the Line of Separation 41 Stability of Flow in the Laminar Boundary Layer 42 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 V. Thermal Conduction in Fluids 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 Fluid 56 Free Convection 57 Convective Instability of a Fluid at Rest VI. Diffusion 58 The Equations of Fluid Dynamics for a Mixture of Fluids 59 Coefficients of Mass Transfer and Thermal Diffusion 60 Diffusion of Particles Suspended in a Fluid VII. Surface Phenomena 61 Laplace's Formula 62 Capillary Waves 63 The Effect of Adsorbed Films on the Motion of a Liquid VIII. Sound 64 Sound Waves 65 The Energy and Momentum of Sound Waves 66 Reflection and Refraction of Sound Waves 67 Geometrical Acoustics 68 Propagation of Sound in a Moving Medium 69 Characteristic Vibrations 70 Spherical Waves 71 Cylindrical Waves 72 The General Solution of the Wave Equation 73 The Lateral Wave 74 The Emission of Sound 75 Sound Excitation by Turbulence 76 The Reciprocity Principle 77 Propagation of Sound in a Tube 78 Scattering of Sound 79 Absorption of Sound 80 Acoustic Streaming 81 Second Viscosity IX. Shock Waves 82 Propagation of Disturbances in a Moving Gas 83 Steady Flow of a Gas 84 Surfaces of Discontinuity 85 The Shock Adiabatic 86 Weak Shock Waves 87 The Direction of Variation of Quantities in a Shock Wave 88 Evolutionary Shock Waves 89 Shock Waves in a Polytropic Gas 90 Corrugation Instability of Shock Waves 91 Shock Wave Propagation in a Pipe 92 Oblique Shock Waves 93 The Thickness of Shock Waves 94 Shock Waves in a Relaxing Medium 95 The Isothermal Discontinuity 96 Weak Discontinuities X. One-dimensional Gas Flow 97 Flow of Gas Through a Nozzle 98 Flow of a Viscous Gas in a Pipe 99 One-dimensional Similarity Flow 100 Discontinuities in the Initial Conditions 101 One-dimensional Traveling Waves 102 Formation of Discontinuities in a Sound Wave 103 Characteristics 104 Riemann Invariants 105 Arbitrary One-dimensional Gas Flow 106 A Strong Explosion 107 An Imploding Spherical Shock Wave 108 Shallow-water Theory XI. The Intersection of Surfaces of Discontinuity 109 Rarefaction Waves 110 Classification of Intersections of Surfaces of Discontinuity 111. The Intersection of Shock Waves with a Solid Surface 112. Supersonic Flow Round an Angle 113. Flow Past a Conical Obstacle XII. Two-dimensional Gas Flow 114. Potential Flow of a Gas 115. Steady Simple Waves 438 116. Chaplygin's Equation: The General Problem of Steady Two-dimensional Gas Flow 117. Characteristics in Steady Two-dimensional Flow 118. The Euler-Tricomi Equation. Transonic Flow 119. Solutions of the Euler-Tricomi Equation Near non-singular Points of the Sonic Surface 120. Flow at the Velocity of Sound 121. The Reflection of a Weak Discontinuity from the Sonic Line XIII. Flow Past Finite Bodies 122. The Formation of Shock Waves in Supersonic Flow Past Bodies 123. Supersonic Flow Past a Pointed Body 124. Subsonic Flow Past a Thin Wing 125. Supersonic Flow Past a Wing 126. The Law of Transonic Similarity 127. The Law of Hypersonic Similarity XIV. Fluid Dynamics of Combustion 128. Slow Combustion 129. Detonation 130. The Propagation of a Detonation Wave 131. The Relation between the Different Modes of Combustion 132. Condensation Discontinuities XV. Relativistic Fluid Dynamics 133. The Energy-momentum Tensor 134. The Equations of Relativistic Fluid Dynamics 135. Shock Waves in Relativistic Fluid Dynamics 136. Relativistic Equations for Flow with Viscosity and Thermal Conduction XVI. Dynamics of Superfluids 137. Principal Properties of Superfluids 138. The Thermo-mechanical Effect 139. The Equations of Superfluid Dynamics 14. Dissipative Processes in Superfluids 141. The Propagation of Sound in Superfluids Index

by "Nielsen BookData"

Details

• NCID: BA49129173
• ISBN:
  • 0080339336
• LCCN: 86030498
• Country Code: uk
• Title Language Code: eng
• Text Language Code: eng
• Original Language Code: rus
• Place of Publication: Oxford
• Pages/Volumes: xiii, 539 p.
• Size: 25 cm
• Classification:
  • LCC : QA901
  • DC19 : 532
• Subject Headings:
  • LCSH : Fluid mechanics
• Parent Bibliography ID:
  • BA2697578X