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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
Number of Pages:
6