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Kinetic Theory of a Dilute Gas System under Steady Heat Conduction

Kim Hyeon-Deuk·Hisao Hayakawa
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Abstract

The velocity distribution function of the steady-state Boltzmann equation for hard-core molecules in the presence of a temperature gradient has been obtained explicitly to second order in density and the temperature gradient. Some thermodynamical quantities are calculated from the velocity distribution function for hard-core molecules and compared with those for Maxwell molecules and the steady-state Bhatnagar-Gross-Krook(BGK) equation. We have found qualitative differences between hard-core molecules and Maxwell molecules in the thermodynamical quantities, and also confirmed that the steady-state BGK equation belongs to the same universality class as Maxwell molecules.

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Kim Hyeon-Deuk, Hisao Hayakawa. 2004-04-15. Kinetic Theory of a Dilute Gas System under Steady Heat Conduction. https://doi.org/10.1143/jpsj.72.1904

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