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Influence of a magnetic field on diffusion and thermal diffusion in gaseous mixtures

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  • Eggermont, G.E.J.
  • Vestner, H.
  • Knaap, H.F.P.

Abstract

The influence of a magnetic field on the transport properties of binary mixtures of a polyatomic and a noble gas is studied theoretically. Using an inverse operator technique, first thermal conductivity and viscosity are treated. Then diffusion and thermal diffusion are discussed in detail, with special emphasis on the composition dependence. A relation connecting the magnitudes of the field effects on thermal conductivity, diffusion, and thermal diffusion is derived. This relation is used to estimate the field effect on diffusion.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:82:y:1976:i:1:p:23-46
    DOI: 10.1016/0378-4371(76)90090-X
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    Cited by:

    1. Bass, F. & Breunese, J.N. & Knaap, H.F.P., 1977. "Flow birefringence in gaseous mixtures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 88(1), pages 34-43.
    2. Van Houten, H. & Hermans, L.J.F. & Beenakker, J.J.M., 1985. "A survey of experimental data related to the non-spherical interaction for simple classical linear molecules and their mixtures with noble gases," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 131(1), pages 64-103.
    3. Van den Oord, R.J. & De Lignie, M.C. & Beenakker, J.J.M. & Korving, J., 1988. "Optical determination of the J-dependence of angular momentum alignment in a heat conducting gas," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 150(1), pages 77-96.
    4. Mason, E.A. & Mazur, E., 1985. "Theory of field effects on transport properties of polyatomic gases in the transition regime," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 130(3), pages 437-464.
    5. Breunese, J.N. & van Houten, H., 1984. "The theory of viscous diffusion in the presence of a magnetic field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 126(1), pages 46-65.
    6. 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.
    7. Mazur, E. & Beenakker, J.J.M. & Kuščer, I., 1983. "Kinetic theory of field effects in nonuniform molecular gases," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 121(3), pages 430-456.
    8. van Ditzhuyzen, P.G. & Thijsse, B.J. & Van Der Meij, L.K. & Hermans, L.J.F. & Knaap, H.F.P., 1977. "The viscomagnetic effect in polar gases," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 88(1), pages 53-87.
    9. van den Oord, R.J. & de Lignie, M.C. & Beenakker, J.J.M. & Korving, J., 1988. "The role of the internal energy in the distribution function of a heat conducting gas," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 152(1), pages 199-216.
    10. 't Hooft, G.W. & Knaap, H.F.P., 1979. "Transverse thermal diffusion in an electric field for optically active systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 98(1), pages 97-104.
    11. Green, S. & Liu, W.-K. & McCourt, F.R., 1983. "Close-coupled calculations of viscosity transport-relaxation cross sections for HD-He: Comparison with experiment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 117(2), pages 616-630.
    12. Eggermont, G.E.J. & Oudeman, P. & Hermans, L.J.F. & Beenakker, J.J.M., 1978. "Experiments on the angular dependence of the thermomagnetic pressure difference," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 91(3), pages 345-364.
    13. Thijsse, B.J. & 'T Hooft, G.W. & Knaap, H.F.P. & Beenakker, J.J.M., 1980. "On the Senftleben-Beenakker effect on the thermal conductivity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 102(2), pages 281-297.
    14. Mazur, E. & van Houten, H. & Beenakker, J.J.M., 1985. "A comparison of data on the viscomagnetic effect, flow birefringence and depolarized Rayleigh line broadening," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 130(3), pages 505-522.
    15. Van Houten, H. & Ten Bosch, B.I.M., 1984. "Kinetic theory for the volume viscosity in binary mixtures of polyatomic and noble gases," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 128(1), pages 371-376.
    16. Knaap, H.F.P. & Beenakker, J.J.M. & Kuščer, I., 1982. "Heat conduction in a nearly collisionless molecular gas," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 112(1), pages 29-43.
    17. 't Hooft, G.W. & Köhler, W.E. & Knaap, H.F.P., 1979. "Viscosity and thermal conductivity for symmetric top molecules under the simultaneous influence of an electric and a magnetic field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 98(1), pages 105-117.
    18. Mazur, E. & Hijnen, H.J.M. & Hermans, L.J.F. & Beenakker, J.J.M., 1984. "Experiments on the influence of a magnetic field on diffusion in N2-noble gas mixtures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 123(2), pages 412-427.
    19. Baas, F. & Oudeman, P. & Knaap, H.F.P. & Beenakker, J.J.M., 1977. "Experimental investigation of the nonequilibrium velocity distribution function in a heat conducting gas," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 89(1), pages 73-89.
    20. Baas, F. & Oudeman, P. & Knaap, H.F.P. & Beenakker, J.J.M., 1977. "Heat-flow birefringence in gaseous O2," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 88(1), pages 44-52.
    21. Mazur, E. & 'T Hooft, G.W. & Hermans, L.J.F. & Knaap, H.F.P., 1979. "The transverse dufour effect," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 98(1), pages 87-96.

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