Interaction of Mechanics and Mathematics

Macroscopic Transport Equations for Rarefied Gas Flows

Approximation Methods in Kinetic Theory

Authors: Struchtrup, Henning

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About this Textbook

The well known transport laws of Navier-Stokes and Fourier fail for the simulation of processes on lengthscales in the order of the mean free path of a particle that is when the Knudsen number is not small enough. Thus, the proper simulation of flows in rarefied gases requires a more detailed description.

This book discusses classical and modern methods to derive macroscopic transport equations for rarefied gases from the Boltzmann equation, for small and moderate Knudsen numbers, i.e. at and above the Navier-Stokes-Fourier level. The main methods discussed are the classical Chapman-Enskog and Grad approaches, as well as the new order of magnitude method, which avoids the short-comings of the classical methods, but retains their benefits. The relations between the various methods are carefully examined, and the resulting equations are compared and tested for a variety of standard problems.

The book develops the topic starting from the basic description of an ideal gas, over the derivation of the Boltzmann equation, towards the various methods for deriving macroscopic transport equations, and the test problems which include stability of the equations, shock waves, and Couette flow.

Table of contents (1 chapters)

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-3-540-32386-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $99.00
price for USA
  • ISBN 978-3-540-24542-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Macroscopic Transport Equations for Rarefied Gas Flows
Book Subtitle
Approximation Methods in Kinetic Theory
Authors
Series Title
Interaction of Mechanics and Mathematics
Copyright
2005
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-32386-0
DOI
10.1007/3-540-32386-4
Softcover ISBN
978-3-540-24542-1
Series ISSN
1860-6245
Edition Number
1
Number of Pages
XIV, 258
Number of Illustrations and Tables
35 b/w illustrations
Topics