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The Boltzmann collision integrals for a combination of Maxwellians

Published online by Cambridge University Press:  29 March 2006

S. M. Deshpande  and
R. Narasimha
S. M. Deshpande
Affiliation:
Department of Aeronautical Engineering, Indian Institute of Science, Bangalore 12
R. Narasimha
Affiliation:
Department of Aeronautical Engineering, Indian Institute of Science, Bangalore 12
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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.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 36 , Issue 3 , 1 May 1969 , pp. 545 - 554
Copyright
© 1969 Cambridge University Press

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References

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