Higher order moment equations for rarefied gas mixtures

The fully nonlinear Grad's N×26-moment (N×G26) equations for a mixture of N monatomic-inert-ideal gases made up of Maxwell molecules are derived. The boundary conditions for these equations are derived by using Maxwell's accommodation model for each component in the mixture. The linear sta...

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Bibliographic Details
Published inProceedings of the Royal Society. A, Mathematical, physical, and engineering sciences Vol. 471; no. 2173; p. 20140754
Main Authors Gupta, Vinay Kumar, Torrilhon, Manuel
Format Journal Article
LanguageEnglish
Published The Royal Society Publishing 08.01.2015
Subjects
26-Moment Equations
Binary Mixture
Grad's Moment Method
Kinetic Theory
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Summary:The fully nonlinear Grad's N×26-moment (N×G26) equations for a mixture of N monatomic-inert-ideal gases made up of Maxwell molecules are derived. The boundary conditions for these equations are derived by using Maxwell's accommodation model for each component in the mixture. The linear stability analysis is performed to show that the 2×G26 equations for a binary gas mixture of Maxwell molecules are linearly stable. The derived equations are used to study the heat flux problem for binary gas mixtures confined between parallel plates having different temperatures.
ISSN:1364-5021
1471-2946
DOI:10.1098/rspa.2014.0754