The Boltzmann collision integrals for a combination of Maxwellians

Deshpande, S. M. ; Narasimha, R. (1969) The Boltzmann collision integrals for a combination of Maxwellians Journal of Fluid Mechanics, 36 (3). pp. 545-554. ISSN 0022-1120

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Official URL: http://journals.cambridge.org/abstract_S0022112069...

Related URL: http://dx.doi.org/10.1017/S0022112069001820

Abstract

The gain and loss integrals in the Boltzmann equation for a rigid sphere gas are evaluated in closed form for a distribution which can be expressed as a linear combination of Maxwellians. Application to the Mott-Smith bimodal distribution shows that the gain is also bimodal, but the two modes in the gain are less pronounced than in the distribution. Implications of these results for simple collision models in non-equilibrium flow are discussed.

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