ONSET OF DARCY-BRINKMAN CONVECTION IN A ROTATING BIDISPERSIVE POROUS MEDIUM

Abstract

The onset of Darcy-Brinkman convection in a rotating bidispersive porous layer is studied for different boundary configurations. Rotating bidispersive porous layer manifests in many applications such as food and chemical processes, rotating machinery, the petroleum industry, solidification and centrifugal casting of metals, biomechanics, and geophysical problems. Three types of boundary configurations are considered, namely rigid-rigid, rigid-free, and free-free boundaries. The fluid motion is characterized using the Brinkman-Darcy equation with a single temperature in macro and micro phases. The linear stability theory is used, and the obtained eigenvalue problem is addressed analytically for the free-free boundary conditions. The eigenvalue problems for the rigid-rigid and rigid-free boundaries are solved numerically. The effects of the Taylor number, momentum transfer coefficient, permeability ratio, Darcy number, and porosity ratio on the system's stability are graphically explored. The Darcy number, permeability ratio, and Taylor number are found to have a stabilizing influence on the system. Further, it is found that the momentum transfer coefficient shows destabilizing effect. The porosity ratio is found to have a stabilizing impact on the system.