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Archive of Applied Mechanics

, Volume 70, Issue 8–9, pp 649–658 | Cite as

Thermal instability of a porous medium with relaxation and inertia in the presence of Hall effects

  • Sunil
  • P. Singh
Article

Summary

 The thermal instability of a Rivlin–Ericksen fluid in a porous medium is considered in the presence of a uniform vertical magnetic field to include the effect of Hall currents. For the case of stationary convection, the magnetic field has a stabilizing effect on the system, whereas the Hall current has a destabilizing effect on the system. The medium permeability has both stabilizing and destabilizing effects, depending on the Hall parameter M. The kinematic viscoelasticity has no effect on stationary convection. Graphs have been plotted by giving numerical values to the parameters, to depict the stability characteristics. The magnetic field (and corresponding Hall currents) introduces oscillatory modes in the system, which would be nonexistent in their absence. The sufficient conditions for the nonexistence of overstability are also obtained.

Key words Hall effect, magnetic field, porous medium, Rivlin–Ericksen fluid, thermal instability 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • Sunil
    • 1
  • P. Singh
    • 2
  1. 1.Department of Applied Sciences, Regional Engineering College, Hamirpur, (H.P.)-177 005, IndiaIndia
  2. 2.Department of Mathematics, R.V.M.S.D. Degree College, Sujanpur Tira, (H.P.)-176 110, IndiaIndia

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