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Alternative expressions for the thermal conductivity of dilute gas mixtures

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  • Ross, M.J.
  • Vesovic, V.
  • Wakeham, W.A.

Abstract

New expressions for the thermal conductivity of a multicomponent mixture of polyatomic gases have been derived within the semi-classical Wang Chang-Uhlenbeck kinetic theory. Using the Wang Chang-Uhlenbeck formulation of the solution of the kinetic equations, the thermal conductivity is written explicitly, to an arbitrary order of approximation, in terms of a series of effective cross-sections for the first time and in a form suitable for computer implementation. In the alternative formulation of Thijsse, 't Hooft, Combe, Knaap and Beenakker, the thermal conductivity of the mixture is also written explicitly in terms of the effective cross-section. The resulting expression proves to be much simpler than hitherto available.

Suggested Citation

  • Ross, M.J. & Vesovic, V. & Wakeham, W.A., 1992. "Alternative expressions for the thermal conductivity of dilute gas mixtures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 183(4), pages 519-536.
    • Handle: RePEc:eee:phsmap:v:183:y:1992:i:4:p:519-536
    DOI: 10.1016/0378-4371(92)90298-5
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    1. Mason, George, 1963. "Towards a Production Function for Supplementary Irrigation on Far North Coast Dairy Farms," Review of Marketing and Agricultural Economics, Australian Agricultural and Resource Economics Society, vol. 31(02), pages 1-9, June.
    2. Kestin, J. & Ro, S.T. & Wakeham, W.A., 1983. "The transport properties of binary mixtures of hydrogen with CO, CO2 and CH4," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 119(3), pages 615-638.
    3. Eggermont, G.E.J. & Vestner, H. & Knaap, H.F.P., 1976. "Influence of a magnetic field on diffusion and thermal diffusion in gaseous mixtures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 82(1), pages 23-46.
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    1. Ern, Alexandre & Giovangigli, Vincent, 1995. "Thermal conduction and thermal diffusion in dilute polyatomic gas mixtures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 214(4), pages 526-546.
    2. Vesovic, V. & Wakeham, W.A., 1993. "Practical, accurate expressions for the thermal conductivity of atom-diatom gas mixtures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 201(4), pages 501-514.
    3. Heck, E.L. & Dickinson, A.S., 1995. "Traditional transport properties of CO," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 217(1), pages 107-123.

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