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Kinetic Theory and Boundary Conditions for Fluids

Published online by Cambridge University Press:  20 November 2018

Jon Schnute  and
Marvin Shinbrot
Jon Schnute
Affiliation:
University of British Columbia, Vancouver, British Columbia
Marvin Shinbrot
Affiliation:
University of Victoria, Victoria, British Columbia
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Summary

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A rigorous derivation of the molecular theory of a confined, deterministic gas is given. Then, a molecular reflection law is presented with the property that the corresponding fluid does not slip at the boundary. It is also shown that, within a certain reasonable class of reflection laws, the one we give is the only one that leads to no-slip.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 25 , Issue 6 , December 1973 , pp. 1183 - 1215
Copyright
Copyright © Canadian Mathematical Society 1973

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