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Field-dependent viscous flow in rarefied molecular gas

Author

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  • Ten Bosch, B.I.M.
  • Beenakker, J.J.M.
  • Kuščer, I.

Abstract

The effect of a magnetic field upon the flow of a rarefied gas between paralel plates is evaluated by a variational method based upon the linearized Boltzmann equation. With a small set of trial functions, the results are obtained in terms of known matrix elements of the Boltzmann collision operator, so that there are no adjustable parameters. The results, which cover the nearhydrodynamic regime and part of the transition regime, compare well with existing experimental data. Simple formulae, including a sum rule, are given for the Knudsen corrections for the field effect upon viscosity, and interpreted in terms of a parallel decay mechanism. A change of sign, observed in the longitudinal field effect, is also explained.

Suggested Citation

  • Ten Bosch, B.I.M. & Beenakker, J.J.M. & Kuščer, I., 1986. "Field-dependent viscous flow in rarefied molecular gas," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 134(3), pages 522-542.
    • Handle: RePEc:eee:phsmap:v:134:y:1986:i:3:p:522-542
    DOI: 10.1016/0378-4371(86)90014-2
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    References listed on IDEAS

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    1. Borman, V.D. & Krylov, S.Yu. & Nikolayev, B.I. & Troyan, V.I. & Frolov, B.A., 1982. "Effect of magnetic field on heat flow in a polyatomic gas in intermediate pressure range," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 111(3), pages 491-512.
    2. Bredewout, J.W. & van den Meijdenberg, C.J.N. & Beenakker, J.J.M., 1976. "Glory undulations in the total cross section for scattering of heavy rare gas atoms," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 85(1), pages 28-50.
    3. Cercignani, C. & Geppert, L. & Lampis, M., 1983. "Computation of the polarization creep tensor," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 121(3), pages 531-540.
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    Cited by:

    1. Bedeaux, D. & Smit, J.A.M. & Hermans, L.J.F. & Ytrehus, T., 1992. "Slow evaporation and condensation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 182(3), pages 388-418.
    2. Sharipov, Felix, 1994. "Onsager-Casimir reciprocity relations for open gaseous systems at arbitrary rarefraction," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 203(3), pages 457-485.

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