IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v134y1986i3p522-542.html
   My bibliography  Save this article

Field-dependent viscous flow in rarefied molecular gas

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0378437186900142
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/0378-4371(86)90014-2?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. ten Bosch, B.I.M. & Beenakker, J.J.M. & Kuščer, I., 1984. "Onsager symmetries in field-dependent flows of rarefied molecular gases," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 123(2), pages 443-462.
    2. 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.
    3. van den Biesen, J.J.H. & Hermans, R.M. & van den Meijdenberg, C.J.N., 1982. "Experimental total collision cross sections in the glory region for noble gas systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 115(3), pages 396-439.
    4. Köhle, W.E. & Eggermont, G.E.J., 1978. "On the theory of the viscomagnetic diffusion flux (bulk effect)," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 91(1), pages 17-32.
    5. 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.
    6. Van Den Biesen, J.J.H. & Stokvis, F.A. & Van Veen, E.H. & Van Den Meijdenberg, C.J.N., 1980. "Measurements on the glory structure in the total cross section of noble gas systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 100(2), pages 375-396.
    7. 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.
    8. Linse, C.A. & van den Biesen, J.J.H. & van Veen, E.H. & van den Meijdenberg, C.J.N., 1979. "Measurements on the glory structure in the total cross section of noble gas systems II. Ne and Ar scattered by Ar, Kr and Xe," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 99(1), pages 166-183.
    9. 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.
    10. Van Den Biesen, J.J.H. & Van Den Meijdenberg, C.J.N., 1980. "An analysis of available absolute total cross section data for noble gas systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 100(3), pages 632-640.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:134:y:1986:i:3:p:522-542. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.