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Thermosolutal Instability of a Compressible Finite Larmor Radius, Hall Plasma in a Porous Medium

Volume 4, Issue 1, 2001, 13 pages
DOI: 10.1615/JPorMedia.v4.i1.50
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ABSTRACT

The thermosolutal instability of a compressible plasma in a porous medium is considered in the presence of a uniform horizontal magnetic field to include the finite Larmor radius and Hall effects. The dispersion relationship has been obtained. The system is found to be stable for (Cp/g)β < 1, where Cp , β, and g stand for specific heat at constant pressure, uniform adverse temperature gradient, and acceleration due to gravity, respectively. The uniform horizontal magnetic field, finite Larmor radius (FLR), Hall current, and stable solute gradient effects introduce oscillatory modes in the system for (Cp/g)β > 1, which were nonexistent in their absence. For the stationary convection, the effect of compressibility is found to postpone the onset of thermosolutal instability. The effects of stable solute gradient, finite Larmor radius, Hall currents, magnetic field, and medium permeability have been investigated analytically and numerically.

CITED BY
  1. Goldstein R.J, Eckert E.R.G, Ibele W.E, Patankar S.V, Simon T.W, Kuehn T.H, Strykowski P.J, Tamma K.K, Heberlein J.V.R, Davidson J.H, Bischof J, Kulacki F.A, Kortshagen U, Garrick S, Heat transfer––a review of 2001 literature, International Journal of Heat and Mass Transfer, 46, 11, 2003. Crossref

  2. Nield Donald A., Bejan Adrian, Double-Diffusive Convection, in Convection in Porous Media, 2017. Crossref

  3. Nield Donald A., Bejan Adrian, Double-Diffusive Convection, in Convection in Porous Media, 2013. Crossref

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