Summary
In the present paper the shock-wave propagation problem for a binary gas mixture is studied by means of a 12-discrete velocity model of the Boltzmann equation. From a mathematical standpoint the problem consists in solving a set of six ordinary nonlinear differential equations with limit conditions. The solution is found in an approximated analytical form expressed by an expansion in Legendre polynomials. Finally an application is proposed and comparisons with previous theoretical and experimental results are given.
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Monaco, R. Shock-wave propagation in gas mixtures by means of a discrete velocity model of the Boltzmann equation. Acta Mechanica 55, 239–251 (1985). https://doi.org/10.1007/BF01175804
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DOI: https://doi.org/10.1007/BF01175804