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Onsager symmetries in field-dependent flows of rarefied molecular gases

Author

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  • ten Bosch, B.I.M.
  • Beenakker, J.J.M.
  • Kuščer, I.

Abstract

Investigations of field effects upon transport phenomena in molecular gases have recently been extended from the hydrodynamic to trasition and Knudsen regimes. In the steady state of a binary mixture between parallel plates the average flow velocity, diffusive flux aand heat flux linearly depend upon small gradients of pressure, concentration and temperature. The relation is specified by a matrix of field- and pressure-dependent coefficients Lαβ, each of which may be a tensor. The Onsager reciprocity, Lαβ(B)=Lβα†(-B, is verified by a derivation from the linearized Boltzmann equation, by taking account of the symmetries of intermolecular and gas-surface collision operators. A more detailed analysis is possible at moderate rarefaction, when the fluxes can be split into bulk and boundary-layer parts, the latter involving field-dependent slip coefficients.

Suggested Citation

  • ten Bosch, B.I.M. & Beenakker, J.J.M. & Kuščer, I., 1984. "Onsager symmetries in field-dependent flows of rarefied molecular gases," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 123(2), pages 443-462.
    • Handle: RePEc:eee:phsmap:v:123:y:1984:i:2:p:443-462
    DOI: 10.1016/0378-4371(84)90165-1
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