Abstract

The effect of rotation on the onset of convection in Rivlin − Ericksen elastico-viscous fluid heated from below in 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, rotation, gravity field and viscoelasticity introduce oscillatory modes. For stationary convection, the rotation and Darcy number has stabilizing effect whereas the medium permeability has destabilizing/stabilizing effect on the system under certain conditions. The effects of rotation, Darcy number and medium permeability has also been shown graphically.

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