Effect of Rotation on the Onset of Compressible Rivlin-Ericksen Fluid Heated from Below Saturating a Darcy-Brinkman Porous Medium

The effect of rotation on the onset of convection in compressible Rivlin-Ericksen elastico-viscous fluid heated from below saturating a porous medium is considered. For the porous medium, the Brinkman model is employed. By applying normal mode analysis method, the dispersion relation has been derived and solved analytically. It is observed that the medium permeability, compressibility, gravity field and viscoelasticity introduce oscillatory modes. For stationary convection, the rotation has stabilizing effect whereas Darcy number and medium permeability have destabilizing/stabilizing effect on the system under certain conditions. The effects of rotation, Darcy number and medium permeability have also been shown graphically.