Analytical solutions of the discrete Boltzmann equation for the Rayleigh flow problem for gas mixtures

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Abstract
In this paper the Rayleigh flow problem for multicomponent gas mixtures is studied by means of a discrete velocity model of the Boltzmann equation. The analysis carried out leads to analytical solutions for the number densities, which are the pertinent quantities capable of describing the space‐time evolution of the system at a molecular level. The macroscopic behavior of the mixture is also deduced, and a comparison is made between our results and those of other authors.