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Rarefied gas flows based on variational principle

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Abstract

A variational principle has been utilized to study Couette flow, and Kramers' velocity slip problem with specular-diffuse reflection. The method leads to extremely satisfactory analytic results for the velocity slip coefficient and also for the variation of shear stress with inverse Knudsen number. This leads us to the conclusion that the present variational principle even with extremely simple trial functions, essentially suggested by continuum flow theory, is a useful means of computing macroscopic quantities of physical interest in rarefied gas dynamics.

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Author notes

  1. J. R. Saraf

    Present address: Dept. of Math., City of London Polytechnic, London EC3, England

Authors and Affiliations

  1. Dept. of Math., University of Strathclyde, Glasgow, Scotland, UK

    J. R. Saraf

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  1. J. R. Saraf
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Saraf, J.R. Rarefied gas flows based on variational principle. Appl. Sci. Res. 28, 27–36 (1973). https://doi.org/10.1007/BF00413055

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