Constitutive relations associated with the Mott-Smith distribution function
Physics of Fluids
By: M. Nathenson and D. Baganoff
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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)τu, 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 = (C3x) / CxC2. 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.
| Publication type | Article |
|---|---|
| Publication Subtype | Journal Article |
| Title | Constitutive relations associated with the Mott-Smith distribution function |
| Series title | Physics of Fluids |
| DOI | 10.1063/1.1694274 |
| Volume | 16 |
| Issue | 12 |
| Publication Date | July 31, 2003 |
| Year Published | 1973 |
| Language | English |
| Publisher | AIP Publishing |
| Description | 6 p. |
| First page | 2110 |
| Last page | 2115 |