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Thermal conduction and thermal diffusion in dilute polyatomic gas mixtures

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  • Ern, Alexandre
  • Giovangigli, Vincent

Abstract

A novel theoretical basis for the evaluation of the thermal conductivity and the thermal diffusion ratios of dilute polyatomic gas mixtures is derived within the semi-classical isotropic kinetic theory. New expressions for species diffusion coefficients, thermal diffusion coefficients, and thermal diffusion ratios are also obtained by using an expansion vector based upon the total energy of the molecules. Finally, practical and accurate expressions for the thermal conductivity and the thermal diffusion ratios are derived by using the recent theory of iterative transport algorithms, as developed by the authors. The resulting expressions can be used in either theoretical calculations or computational models of multicomponent flows.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:214:y:1995:i:4:p:526-546
    DOI: 10.1016/0378-4371(94)00296-6
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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.
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    3. 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.
    4. 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.
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    Cited by:

    1. Orlac’h, Jean-Maxime & Giovangigli, Vincent & Novikova, Tatiana & Roca i Cabarrocas, Pere, 2018. "Kinetic theory of two-temperature polyatomic plasmas," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 494(C), pages 503-546.
    2. Ern, Alexandre & Giovangigli, Vincent, 1996. "Kinetic theory of dilute gas mixtures with independent internal energy modes near equilibrium," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 224(3), pages 613-625.

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