Stability of Viscous Flow in a Curved Porous
Channel with Radial Flow
In this paper, we present a linear hydrodynamic stability analysis of the fluid, flowing in a porous curved channel. The motion is due to Pressure gradient acting round the curved channel and an imposed radial flow. The analytical solution of the eigen value problem is obtained by using the Galerkin’s method, for the wide gap case. Results for critical wave number and Dean Number are obtained and are compared with earlier result. The agreement is very good. Also, the stability curve, amplitude of the radial velocity and the cell-pattern are shown on graphs. The results show that the flow is strongly stabilized by an outward radial flow and weakly stabilized by a strong inward radial flow, while it is destabilized by a weak inward radial flow. In presence of outward flow, wide gap systems show stronger stability than the small gap system.