Investigation of the Stability of Ferromagnetic Viscoelastic Fluid Heated and Soluted from Below Saturating a Porous Medium
Sumit Gupta *
Department of Mathematics, Government Degree College, Arki, Solan, Himachal Pradesh, India.
*Author to whom correspondence should be addressed.
Abstract
This paper deals with the convection of viscoelastic fluids in the presence of solute parameter in a porous medium. It is found that the oscillatory Rayleigh number decreases with the increase in the stress-relaxation parameter which indicates that the effect of the stress-relaxation parameter is to advance the onset of convection in viscoelastic ferromagnetic fluid saturating a porous medium. Moreover, the Rayleigh numbers for the stationary and overstable case decreases with the increase in the parameter showing thereby the destabilizing effect of the non-buoyancy magnetization on the system. Graphs have been plotted by giving numerical values to the parameters accounting for magnetization parameter, solute parameter, magnetization parameter, stress-relaxation time parameter, strain-retardation time parameter and medium porosity for both the cases of stationary convection and overstability. For both the cases of stationary and overstable convection, the buoyancy magnetization parameter and non buoyancy magnetization parameter have destabilizing effect on the system. The medium permeability has a destabilizing effect for the case of stationary convection and stabilizing effect for the case of overstability convection on the system.
Keywords: Dermatoglyphics, Ferromagnetic fluid, Muria gonds, solute parameter, Bastar tribes, medium permeability, Oldroydian fluid, thermosolutal convection