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Complementary variational principles for free molecular channel flow*

Published online by Cambridge University Press:  14 November 2011

R. J. Cole
R. J. Cole
Affiliation:
Department of Mathematics, University of Strathclyde
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Synopsis

A collisionless gas flows through a finite rectangular duct which reflects molecules diffusely. The transmission probability Q of the duct involves the solution of a pair of coupled integral equations. Complementary variational principles have been employed which supply upper and lower bounds to Q. Numerical calculations have been made for a variety of duct shapes and compared, where appropriate, to those of other authors.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 82 , Issue 3-4 , 1979 , pp. 211 - 223
Copyright
Copyright © Royal Society of Edinburgh 1979

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References

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