Abstract
This paper presents expressions for the evaluation of the second-and third-order Chapman-Cowling approximation to the thermal conductivity of a multicomponent monatomic gas mixture in the limit of zero density. Calculation of these higher-order corrections have been carried out for some monatomic gas mixtures. The higher-order corrections contribute as much as 3% to the thermal conductivity of binary mixtures of gases with a large mass ratio. It is found that the higher-order kinetic theory formulae provide an adequate description of recent thermal conductivity data that have an associated uncertainty of ±0.2%. The results of this analysis are employed to demonstrate that these thermal conductivity data are entirely consistent with earlier viscosity data on the same systems.
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J. J. de Groot, J. Kestin, H. Sookiazian, and W. A. Wakeham, Physica 92A: 117 (1978).
J. Kestin, R. Paul, A. A. Clifford, and W. A. Wakeham, Physica 100A: 349 (1980).
A. A. Clifford, R. Fleeter, J. Kestin, and W. A. Wakeham, Physica 98A: 467 (1979).
J. O. Hirschfelder, C. F. Curtiss, and R. B. Bird, The Molecular Theory of Gases and Liquids (Wiley, New York, 1964), Chap. 8.
C. Muckfenfuss and C. F. Curtiss, J. Chem. Phys. 29: 1273 (1958).
E. A. Mason, J. Chem. Phys. 28: 1000 (1958).
E. A. Mason and S. C. Saxena, J. Chem. Phys. 31: 511 (1959).
J. H. Ferziger and H. G. Kaper, Mathematical Theory of Transport Processes in Gases (North-Holland, Amsterdam, 1972), Chaps. 6 and 7.
L. Waldmann, Z. Physik 124: 175 (1947).
H. E. Khalifa, J. Kestin, and W. A. Wakeham, Physica 97A: 273 (1979).
S. Chapman and T. G. Cowling, The Mathematical Theory of Non-Uniform Gases, 3rd edn. (Cambridge University Press, London, 1972).
Ref. 8, Appendix B.
J. Kestin, S. T. Ro, and W. A. Wakeham, Physica 58: 165 (1972).
J. Kestin and E. A. Mason, A.I.P. Conf. Proc. 11: 137 (1973).
J. Kestin, H. E. Khalifa, and W. A. Wakeham, Physica 90A: 215 (1978).
A. Boushehri, L. A. Viehland, and E. A. Mason, Physica 91A: 424 (1978).
D. W. Gough, G. C. Maitland, and E. B. Smith, Mol. Phys. 24: 151 (1972).
D. W. Gough, E. B. Smith, and G. C. Maitland, Mol. Phys. 25: 1433 (1973).
G. C. Maitland and W. A. Wakeham, Mol. Phys. 35: 1443 (1978).
J. A. Barker, W. Fock, and F. Smith, Phys. Fluids 7: 897 (1964).
J. Kestin, in Thermal Conductivity 14, P. G. Klemens and T. K. Chu, eds. (Plenum, New York, 1976), p. 315.
A. S. Kalelkar and J. Kestin, J. Chem. Phys. 52: 4248 (1970).
J. Kestin, W. A. Wakeham, and K. Watanabe, J. Chem. Phys. 53: 3773 (1970).
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Assael, M.J., Wakeham, W.A. & Kestin, J. Higher-order approximation to the thermal conductivity of monatomic gas mixtures. Int J Thermophys 1, 7–32 (1980). https://doi.org/10.1007/BF00506269
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DOI: https://doi.org/10.1007/BF00506269