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Thermodynamical theory of boundary conditions for polyatomic gases

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  • Halbritter, J.
  • Waldmann, L.

Abstract

A boundary condition for the distribution operator of a dilute polyatomic gas at a gas-solid interface is presented. The derivation is based on the methods of nonequilibrium thermodynamics in connection with the general reciprocity postulate for the interface. The boundary condition consists of a linear relation between the sum and the difference of the distribution operator and its time-reversal. The connecting wall-collision superoperator is symmetric according to the postulate of universal reciprocity and positive definite in order to guarantee a positive surface entropy production. Finally, the new boundary condition is rewritten as a linear relation between the distribution operator of the molecules reflected from the solid and the distribution operator of the incident molecules. In this form it is compared with the boundary conditions used till now, which are, however, almost entirely restricted to monatomic gases. Finally, in the Knudsen case for a heat conducting polyatomic gas between parallel plates, the distribution function is expressed by an integral over the wall-collision superoperator.

Suggested Citation

  • Halbritter, J. & Waldmann, L., 1980. "Thermodynamical theory of boundary conditions for polyatomic gases," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 104(1), pages 1-24.
    • Handle: RePEc:eee:phsmap:v:104:y:1980:i:1:p:1-24
    DOI: 10.1016/0378-4371(80)90071-0
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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.
    2. Waldmann, L. & Vestner, H., 1979. "Non-equilibrium thermodynamics of the gas kinetic boundary value problem," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 99(1), pages 1-33.
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    Cited by:

    1. Vysotsky, V.V. & Roldughin, V.I., 1994. "Mechanodiffusion in a slightly rarefied gas mixture," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 209(1), pages 25-41.

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