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Onsager-Casimir reciprocity relations for open gaseous systems at arbitrary rarefaction III. Theory and its application for gaseous mixtures

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  • Sharipov, Felix

Abstract

The statistical approach to the nonequilibrium thermodynamics based on fundamental properties of the Boltzmann equation and boundary condition for the distribution function is generalized for mixtures of nonreactive gases. As an application of the approach several problems of gaseous mixture flows are considered. The problems are as follows: evaporation and condensation of the mixture between two parallel plates, two-dimensional mixture flow through a capillary, mixture flow past a particle. The explicit expressions of the thermodynamic fluxes and kinetic coefficients satisfying the Onsager-Casimir reciprocity relations are derived. The couplings between cross effects arising in the mixture flows are obtained from these relations.

Suggested Citation

  • Sharipov, Felix, 1994. "Onsager-Casimir reciprocity relations for open gaseous systems at arbitrary rarefaction III. Theory and its application for gaseous mixtures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 209(3), pages 457-476.
    • Handle: RePEc:eee:phsmap:v:209:y:1994:i:3:p:457-476
    DOI: 10.1016/0378-4371(94)90197-X
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    Cited by:

    1. Zhdanov, V.M. & Zaznoba, V.A., 2021. "Non-equilibrium phenomena in gas mixture flow through a plane channel in near-continuum regime," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 565(C).
    2. Naris, S & Valougeorgis, D & Kalempa, D & Sharipov, F, 2004. "Gaseous mixture flow between two parallel plates in the whole range of the gas rarefaction," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 336(3), pages 294-318.
    3. Sharipov, Felix, 2012. "Reciprocal relations based on the non-stationary Boltzmann equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(5), pages 1972-1983.
    4. Sharipov, Felix, 2010. "The reciprocal relations between cross phenomena in boundless gaseous systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(18), pages 3743-3760.

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