Higher order moment equations for rarefied gas mixtures | Zendy

Vinay Kumar Gupta | Zendy; Manuel Torrilhon | Zendy

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Higher order moment equations for rarefied gas mixtures

Author(s) -

Vinay Kumar Gupta,

Manuel Torrilhon

Publication year - 2014

Publication title -

proceedings of the royal society a mathematical physical and engineering sciences

Language(s) - English

Resource type - Journals

eISSN - 1471-2946

pISSN - 1364-5021

DOI - 10.1098/rspa.2014.0754

Subject(s) - thermodynamics , moment (physics) , monatomic gas , maxwell relations , maxwell's equations , monatomic ion , nonlinear system , binary number , ideal gas , boundary value problem , physics , materials science , classical mechanics , mathematics , inhomogeneous electromagnetic wave equation , mathematical analysis , magnetic field , quantum mechanics , optical field , arithmetic

The fully nonlinear Grad'sN ×26-moment (N ×G 26) equations for a mixture ofN 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.

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