HALL CURRENT EFFECT ON THERMAL INSTABILITY OF COMPRESSIBLE VISCOELASTIC DUSTY FLUID IN POROUS MEDIUM

The thermal instability of compressible viscoelastic (Rivlin-Ericksen) fluid in porous medium is considered to include the effects of Hall currents and suspended particles. Following the linearized stability theory and normal mode analysis, the dispersion relation is obtained. For the case of stationary convection, Hall currents and suspended particles are found to have destabilizing effects whereas compressibility and magnetic field have stabilizing effects on the system. The medium permeability, however, has stabilizing and destabilizing effects on thermal instability in contrast to its destabilizing effect in the absence of the magnetic field. Graphs have been plotted by giving numerical values to the parameters, depicting the stability characteristics. The magnetic field, Hall currents, and viscoelasticity parameter are found to introduce oscillatory modes in the system.