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Rarefied gas flow between parallel plates

Published online by Cambridge University Press:  24 October 2008

M. M. R. Williams
M. M. R. Williams
Affiliation:
Nuclear Engineering Department, Queen Mary College, University of London
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Abstract

The flow of a rarefied gas between parallel plates has been studied via the linearized Boltzmann transport equation. Using a general boundary condition, which includes an arbitrary ratio of specular to diffuse reflection from the wall, we have derived an integral equation for the mass flow velocity. The integral equation is solved by using a replication property of the kernel and application of the method of Muskelishvili.

The total volumetric flow rate is obtained and a slip boundary condition is deduced for use with the hydrodynamic equations.

Certain aspects of the eigenvalue spectrum associated with the Boltzmann equation are discussed.

Information

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 66 , Issue 1 , July 1969 , pp. 189 - 196
Copyright
Copyright © Cambridge Philosophical Society 1969

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References

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