Reprint of: Comparison of relaxation phenomena in binary gas-mixtures of Maxwell molecules and hard spheres

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Abstract

The strategy for computing the Boltzmann collision integrals for gaseous mixtures is presented and bestowed to compute the fully non-linear Boltzmann collision integrals for hard sphere gas-mixtures. The Boltzmann collision integrals associated with the first 26 moments of each constituent in a gas-mixture are presented. Moreover, the Boltzmann collision integrals are exploited to study the relaxation phenomena of diffusion velocities, stresses and heat fluxes in binary gas-mixtures of Maxwell molecules and hard spheres.

Keywords

Kinetic theory
Binary mixture
Moment equations
Relaxation
Maxwell molecule
Hard spheres

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A publisher’s error resulted in this article appearing in the wrong issue. The article is reprinted here for the reader’s convenience and for the continuity of the special issue. For citation purposes, please use the original publication details; Computers and Mathematics with Applications, 70/1, 73–88.

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Present address: Max Planck Institute for Dynamics and Self-Organization, Am Fassberg 17, D-37077 Göttingen, Germany.