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Transport coefficients of a simple and dilute gas of hard spheroids having C∞ν symmetry

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  • Kumar, Bijoy

Abstract

An uncorrelated collision (modified Enskog) kinetic theory has been applied to the derivations of formulae for the transport coefficients of a classical, simple and dilute gas of hard spheroidal molecules which have C∞ν symmetry. The only quantities appearing in these formulae which have not been evaluated explicitly are integrals over the orientational co-ordinates of two interacting molecules. The self-diffusion coefficient and shear viscosity formulae derived on the basis of this theory agree with those derived recently [R.G. Cole and G.T. Evans, Ann. Rev. Phys. Chem. 37 (1986) 105; G.T. Evans, Molec. Phys. 74 (1991) 775] by a Mori-generalised Langevin method. The volume viscosity and thermal conductivity expressions are new. The conductivity formula reduces to the Evans result if the effects of translational and rotational degrees of freedom are combined instead of being presented explicitly as in this work, and to the modified Eucken formula if suitable approximations are made. In the limit our formulae reduce to the corresponding transport coefficient expressions for a dilute gas of hard sphere (HS) molecules.

Suggested Citation

  • Kumar, Bijoy, 1995. "Transport coefficients of a simple and dilute gas of hard spheroids having C∞ν symmetry," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 217(3), pages 302-318.
  • Handle: RePEc:eee:phsmap:v:217:y:1995:i:3:p:302-318
    DOI: 10.1016/0378-4371(95)00053-A
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