Field-dependent viscous flow in rarefied molecular gas

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

Physica A: Statistical Mechanics and its Applications, 1986, vol. 134, issue 3, 522-542

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.

Date: 1986
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:134:y:1986:i:3:p:522-542

DOI: 10.1016/0378-4371(86)90014-2

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