Numerical Investigations of Electro-Thermal Convection in a Maxwellian Fluid Layersatuarating a Porous Media

The numerical investigations of a viscoelastic fluid layer to include the effect of AC electric field on the onset of instability heated from below saturating a porous media for the free-free boundaries has been studied. The theology of the fluid is described by the Maxwell model. In the Stationary convection it is observed that Maxwellian fluid acts like ordinary fluid, since the viscoelasticity parameter vanishes with the vanishing of the growth rate. The eigen-value problem obtained using linear stability theory and normal mode technique is solved numerically using the software MATHEMATICA by assuming the trial functions satisfying the boundary conditions. For the case of stationary convection electric Rayleigh number and Darcy number both have destabilizing effect on the stability of the system. Also for the over stability, the stress-relaxationtime parameter has destabilising effect on the stability of the system.