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Irreversible thermodynamics of rarefied gases

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  • Kuščer, Ivan

Abstract

For transport phenomena in gases the Onsager scheme can be extended so as to include the quantities occurring in a complete set of linearized Burnett equations. To show this, the linearized Boltzmann equation is solved in the Chapman-Enskog manner, allowing for ∇∇T and ∇∇ν terms among the thermodynamic forces. Microscopic and macroscopic Burnett fluxes are introduced, and the phenomenological equations and formal expressions for the transport coefficients derived. The matrix of these coefficients is symmetric in the Onsager way, in agreement with an expression one can derive for the entropy density source. The scheme simplifies for the bulk part of plane flows between parallel plates, with their separation assumed to be greater than a few mean free paths. Boundary layers must be treated separately. The corresponding expression for the entropy source suggests another set of phenomenological equations, involving slip coefficients. The symmetry relations among the coefficients that were earlier obtained indirectly are thereby explained in Onsager's sense.

Suggested Citation

  • Kuščer, Ivan, 1985. "Irreversible thermodynamics of rarefied gases," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 133(3), pages 397-412.
    • Handle: RePEc:eee:phsmap:v:133:y:1985:i:3:p:397-412
    DOI: 10.1016/0378-4371(85)90139-6
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    References listed on IDEAS

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    1. Vestner, H. & Waldmann, L., 1977. "Generalized hydrodynamics of thermal transpiration, thermal force and friction force," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 86(2), pages 303-336.
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