Kinetic Theory

Kinetic Theory

The Chapman–Enskog Solution of the Transport Equation for Moderately Dense Gases

1st Edition - January 1, 1972

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  • Author: S. G. Brush
  • eBook ISBN: 9781483145853

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Kinetic Theory, Volume 3: The Chapman-Enskog Solution of the Transport Equation for Moderately Dense Gases describes the Chapman-Enskog solution of the transport equation for moderately dense gases. Topics covered range from the propagation of sound in monatomic gases to the kinetic theory of simple and composite monatomic gases and generalizations of the theory to higher densities. The application of kinetic theory to the determination of intermolecular forces is also discussed. This volume is divided into two sections and begins with an introduction to the work of Hilbert, Chapman, and Enskog that led to the formulation of the Chapman-Enskog theory. The Chapman-Enskog results are then compared with those of earlier theories with respect to viscosity, heat conduction, diffusion, and thermal diffusion. Subsequent chapters focus on alternatives to the Chapman-Enskog method and some mathematical problems; foundations of the kinetic theory of gases; and kinetic theory of processes in dilute gases and of heat conduction, viscosity, and self-diffusion in compressed gases and liquids. This book should be of interest to graduate students and others undertaking research in kinetic theory.

Table of Contents

  • Preface

    Part 1

    Chapter I The Work of Hilbert, Chapman, and Enskog




    Chapman or Enskog

    Chapter II Comparison of the Chapman-Enskog Results with those of Earlier Theories


    Heat Conduction


    Thermal Diffusion

    Chapter III Application of Kinetic Theory to Determination of Intermolecular Forces


    The exp-6 Potential

    Chapter IV Propagation of Sound in Monatomic Gases

    The Newton-Laplace Theory

    Early Kinetic-Theory Explanations of the Speed of Sound

    Absorption and Dispersion

    Applications of the Burnett Approximation

    Recent Theories

    Chapter V Alternatives to the Chapman-Enskog Method, and Mathematical Problems

    Carleman's Results

    Grad's Method

    Results of Wild and Morgenstern

    Ikenberry and Truesdell

    Grad's Asymptotic Theory

    Chapter VI Generalizations of the Kinetic Theory to Higher Densities

    Early Results of Jager and Others

    The BBGKY Equations

    Correlation Formulas for Transport Coefficients

    Transport Coefficients for the Dense Hard-Sphere Gas

    Discovery of the Divergence


    Part 2

    1 Foundations of the Kinetic Theory of Gases (from Mathematische Annalen, 1912)

    2 The Kinetic Theory of Simple and Composite Monatomic Gases: Viscosity, Thermal Conduction, and Diffusion (from Proceedings of the Royal Society of London, 1916-17)

    Part I.—Outline of the Mathematical Method

    Part II.—Application to the Theory of the Mean-Free-Path Phenomena

    Part III.—Discussion of the Results in Various Special Cases

    3 A Note on Thermal Diffusion (from Philosophical Magazine, 1917)

    4 Kinetic Theory of Processes in Dilute Gases (Translated from Kinetische Theorie der Vorgange in massig verdunnten Gasen, 1917)


    I. Fundamentals

    II. Processes in a Simple Gas

    III. Processes in a Mixture of Two Diffusing Gases

    IV. Numerical Results

    V. Entropy and Entropy Transport to Second Approximation

    VI. Calculation of Pressures to Third Approximation


    5 Kinetic Theory of Heat Conduction, Viscosity and Self-Diffusion in Compressed Gases and Liquids (Translated from Kungliga Svenska Vetenskapsakademiens Handlingar, 1922)

    6 The Kinetic Theory of Gases Fifty Years Ago (from Lectures in Theoretical Physics, Boulder, 1966)


Product details

  • No. of pages: 294
  • Language: English
  • Copyright: © Pergamon 1972
  • Published: January 1, 1972
  • Imprint: Pergamon
  • eBook ISBN: 9781483145853

About the Author

S. G. Brush

About the Editor

D. ter Haar

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