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Molecular Gas Dynamics

Theory, Techniques, and Applications

  • Book
  • © 2007

Overview

Editors:
  1. Yoshio Sone

    1. Kyoto University, Sakyo-ku Kyoto, Japan

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  • An up-to-date description of the basic theory of molecular gas dynamics and its various applications
  • Progress in the field over the last thirty years has greatly enhanced the original theory and has stimulated interesting and critical gas dynamic phenomena and problems
  • An explanation of the theoretical background for the direct simulation Monte Carlo (DSMC) method is easily accessible to nonmathematicians and not found elsewhere in literature
  • The ghost effect, which made molecular gas dynamics indispensable to the study of a gas in the continuum limit, is discussed in the context of a new framework
  • For a broad audience of graduate students, researchers, and practitioners in theoretical physics, applied mathematics, and various branches of engineering.
  • May be used as a textbook in graduate-level courses on fluid dynamics, gas dynamics, kinetic theory, molecular or rarefied gas dynamics, microflows, and applied mathematics
  • Includes supplementary material: sn.pub/extras

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Table of contents (9 chapters)

  1. Front Matter

    Pages i-xiii
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  2. Boltzmann Equation

    Pages 1-27

  3. Highly Rarefied Gas: Free Molecular Gas and Its Correction

    Pages 29-72

  4. Slightly Rarefied Gas: Asymptotic Theory of the Boltzmann System for Small Knudsen Numbers

    Pages 73-167

  5. Simple Flows

    Pages 169-232

  6. Flows Induced by Temperature Fields

    Pages 233-280

  7. Flows with Evaporation and Condensation

    Pages 281-354

  8. Bifurcation in the Half-Space Problem of Evaporation and Condensation

    Pages 355-378

  9. Ghost Effect and Bifurcation I: Bénard and Taylor-Couette Problems

    Pages 379-448

  10. Ghost Effect and Bifurcation II: Ghost Effect of Infinitesimal Curvature and Bifurcation of the Plane Couette Flow

    Pages 449-480

  11. Back Matter

    Pages 481-658
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Keywords

About this book

Molecular Gas Dynamics originates from lectures and seminars delivered by the author at various universities and institutions worldwide. These materials are supplemented and arranged in a form appropriate to a graduate textbook on molecular gas dynamics, or gas dynamics on the basis of kinetic theory. The book provides an up-to-date description of the basic theory of molecular gas dynamics and its various applications giving interesting and important gas - namic phenomena. The progress of molecular gas dynamics in the last forty years has greatly enhanced the contents of the basic theory and provided inf- mation on various interesting and important gas dynamic problems. This has made it possible to compile a new graduate textbook on molecular gas dyn- ics. The present book re?ects these developments providing working knowledge: theory,techniques,andtypicalphenomenainarare?edgas(low-densityand- cro ?ows), for future theoretical development and applications. The book begins with a brief presentation of the fundamental properties of the Boltzmann equation and a summary of notation used globally in subsequent chapters of the book. A full explanation of the fundamental properties is given in Appendix A. The author hopes that readers of various backgrounds can proceed quickly to the main subject, with reference to Appendix A if necessary.

Reviews

From the reviews:

"This is a comprehensive and self-contained text giving an overview of gas dynamics on the basis of kinetic theory in the tradition of asymptotic analysis as pursued by the author and his collaborators...[T]he treatment is lucid and self-contained, with masterfully chosen and executed expansions that do not usually find their way into textbooks...Throughout the whole book, the presentation is illustrated with numerical graphs and tables based on widely varying numerical methods chosen with regard to the respective problems. Clarifying footnotes are generously provided, useful both for the beginner and for the experienced user. An added bonus is accurate and up-to-date surveys of the mathematical status of the various problems together with an in-depth bibliography. This impressive monograph...will become a convenient and lasting reference in the area."   —Transport Theory and Statistical Physics

"In this book the author presents a good review of the theory and the modeling of molecular gas dynamics, together with applications, based on his work with his collaborators. This book is a good reference for researchers interested in applications to kinetic theory and fluid dynamics."   —Mathematical Reviews

“The monograph provides a comprehensive and self-contained overview of gas dynamics based on the kinetic theory. … The presentation is supplemented with illustrations and tables demonstrating the numerical methods suitable for the respective problems. An up-to-date survey of the current status of research in the various areas is given together with an extensive bibliography. The book can serve as a self-study reference or as a textbook.” (Jan Stebel, Applications of Mathematics, Vol. 56, 2011)

Editors and Affiliations

  • Kyoto University, Sakyo-ku Kyoto, Japan

    Yoshio Sone

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