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Constitutive relations associated with the Mott-Smith distribution function

Physics of Fluids
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Abstract

It is shown that the distribution function assumed by Mott-Smith determines a unique relation between heat flux, stress, and fluid velocity given by q = (3/2)??u, i.e., it provides a constitutive relation for heat flux, and it also determines a simple expression for this ratio of third-order central moments Q = . These expressions allow the equation of transfer for c x2 to be cast in a form that yields a nonlinear constitutive relation for stress. The results obtained from the Mott-Smith ansatz are compared with the theory of Baganoff and Nathenson and results from a numerical solution of the Boltzmann equation for shock-wave structure obtained by Hicks and Yen.

Additional publication details

Publication type Article
Publication Subtype Journal Article
Title Constitutive relations associated with the Mott-Smith distribution function
Series title Physics of Fluids
Volume 16
Issue 12
Year Published 1973
Language English
Larger Work Type Article
Larger Work Subtype Journal Article
Larger Work Title Physics of Fluids
First page 2110
Last page 2115