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Analytical Methods for Problems of Molecular Transport

  • Textbook
  • © 2007

Overview

Editors:
  1. I. N. Ivchenko

    1. University of Missouri-Columbia, Columbia, USA

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  2. S. K. Loyalka

    1. University of Missouri-Columbia, Columbia, USA

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  3. R. V. Tompson

    1. University of Missouri-Columbia, Columbia, USA

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  • A user-friendly text in a traditionally difficult field
  • A strong emphasis on the development of usable results for gas-surface interactions
  • The subject matter is applicable to transport from the nano-scale to the cosmic-scale
  • Contains 127 useful solved problems, 43 figures, and 39 tables including the latest values for omega-integrals and a Mathematica® program to calculate them

Part of the book series: Fluid Mechanics and Its Applications (FMIA, volume 83)

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Table of contents (12 chapters)

  1. Front Matter

    Pages i-xxiv
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  2. The General Description of a Rarefied Gas

    Pages 1-14

  3. The Boltzmann Equation

    Pages 15-28

  4. The Collision Operator

    Pages 29-37

  5. The Uniform Steady-State of a Gas

    Pages 39-51

  6. The Non-Uniform State for a Simple Gas

    Pages 53-73

  7. Regimes of Rarefied Gas Flows

    Pages 75-90

  8. The Free-Molecular Regime

    Pages 91-140

  9. Methods of Solution of Planar Problems

    Pages 141-179

  10. The Variational Method for the Planar Geometry

    Pages 181-209

  11. The Slip-Flow Regime

    Pages 211-238

  12. Boundary Value Problems for All Knudsen Numbers

    Pages 239-287

  13. Boundary Slip Phenomena in a Binary Gas Mixture

    Pages 289-334

  14. Back Matter

    Pages 335-409
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Keywords

About this book

The transport of a given species (atoms, molecules, neutrons, photons, etc. ), either through its own kind or through some other host medium, is a problem of considerable interest. Practical applications may be found in many technologically and environmentally relevant areas such as the transport of neutrons in a nuclear power reactor or in a nuclear weapon, the transport of ions and electrons in plasma, the transport of photons which constitutes radiative heat transfer in various industrial, environmental and space applications, the transport of atoms or molecules of one species either through itself or as one component of a multi-component gas mixture, and the interactions of such gas mixtures with various solid and liquid surfaces such as one might find associated with capillary tubes, aerosol particles, interstellar dust grains, etc. . These application areas are obviously quite broad and it is readily apparent that there are, indeed, few scientific activities that do not require some level of understanding of transport processes. One of the most important and influential texts in the area of transport theory has been The Mathematical Theory of Non-Uniform Gases by Sidney Chapman and T. G. Cowling that was first printed in 1939. This book, along with several other more recent texts (Hirschfelder, J. O. , Curtiss, C. F. and Bird, R. B. , Molecular Theory of Gases and Liquids, John Wiley and Sons, NY, 1954; Kogan, M. N.

Reviews

From the reviews:

"The aim of the present work is to present a concise … introduction to the field of transport theory with a fairly tight focus on a few recently successful analytical solution techniques. … the book is useful as a reference for scientists and engineers working in the fields of rarefied gas dynamics and aerosol mechanics, of working in any applied discipline in which gas-surface interactions can be expected to play a significant role." (Claudia-Veronika Meister, Zentralblatt MATH, Vol. 1141, 2008)

Editors and Affiliations

  • University of Missouri-Columbia, Columbia, USA

    I. N. Ivchenko, S. K. Loyalka, R. V. Tompson

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