Physical Foundations of Fluidodynamics: Macroscopic and kinetic approaches (Ekonomika 2007)

Belotserkovskii, Chechetkin, Fimin, Oparin.5282027445

In the book the fundamental concepts of hydrodynamics as part of theoretical physics are considered. The connection of macroscopic approach to description of properties of fluid motion and microscopic kinetic theory is demonstrated. The basic material concerning recent investigations in instabilities and turbulence theory is presented briefly.The book is intended for students and post-graduate students for extended study of hydro- and gas dynamics some aspects.

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Table of contents :
Cover……Page 1
Title……Page 2
Annotation……Page 3
CONTENTS……Page 4
Introduction……Page 6
§ 1.1. Euler’s Equations (ЕЕ)……Page 8
§ 1.2. Navier-Stokes Equations (NSE)……Page 19
§ 1.3. Kinetic Equations and Gas Dynamics……Page 29
Review of Chapter I.1 Contents……Page 63
§ 2.1. Wave Equation and Free Surface Gravity Waves……Page 65
§ 2.2. Waves in Dispersive Media……Page 69
§ 2.3. Waves at a Density Interface between Liquids of Different Densities……Page 71
§ 3.1. Equation of State (EOS)……Page 74
§ 3.2. Thermodynamical Properties of Fluids and Gases……Page 79
§ 4.1. One-Dimensional Fluidodynamics and Rankine-Hugoniot Conditions……Page 87
§ 4.2. Weak Shocks and the Boltzmann Equation……Page 101
Review of Chapter 1.4 Contents……Page 110
§ 1.1. An Introduction to Thermal Convection……Page 111
§ 1.2. Linear Analysis and Normal Modes……Page 114
§ 1.3. Classical Types of Hydrodynamical Instabilities……Page 124
Review of Chapter II.1 Contents……Page 136
§ 2.1. Introduction in Turbulence……Page 138
§ 2.2. The Homogeneous Turbulence and Its Spectrum……Page 143
§ 2.3. Direct Numerical Simulation of Turbulence……Page 158
Review of Chapter II.2 Contents……Page 168
§ 1. Slow Combustion……Page 170
§ 2. Combustion Instabilities……Page 174
Review of Part III Contents……Page 176
§ 1. Chaplygin’s Gas……Page 177
§ 2. Richtmyer-Meshkov Instability……Page 182
§ 3. Instabilities and Turbulence in Astrophysics……Page 188
§ 4. Vortex Dynamics. Symplecto-kinetic Approach……Page 203
References……Page 206
Date-line……Page 215