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July/August 2015 Hydrodynamic limit Of a binary mixture Of rigid spheres
Hi Jun Choe, Shulin Zhou
Differential Integral Equations 28(7/8): 631-654 (July/August 2015).

Abstract

In this paper, we study the hydrodynamic limit of a binary mixture of rigid spheres. When Knudsen numbers of two different species are equal and go to zero, we show formally that the hydrodynamic variables satisfy the compressible Euler and Navier-Stokes equations. Like single species gas, we develop Enskog-Chapman theory up to the second order. It turns out that the macro velocities corresponding to the different spheres are equal and the ratio of the temperatures is the mass ratio of the spheres. However, the macro mass densities satisfy independent conservation laws in the case of the compressible flows. Explicit formulas of viscosity, heat conductivity and heat diffusion coefficient are established in term of particle parameters.

Citation

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Hi Jun Choe. Shulin Zhou. "Hydrodynamic limit Of a binary mixture Of rigid spheres." Differential Integral Equations 28 (7/8) 631 - 654, July/August 2015.

Information

Published: July/August 2015
First available in Project Euclid: 11 May 2015

zbMATH: 1363.70001
MathSciNet: MR3345328

Subjects:
Primary: 35Q20 , 70B05

Rights: Copyright © 2015 Khayyam Publishing, Inc.

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Vol.28 • No. 7/8 • July/August 2015
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