DARCY-BRINKMAN FLOW IN AN ANISOTROPIC ROTATING POROUS CHANNEL UNDER THE INFLUENCE OF MAGNETIC FIELD

Abstract

In the present paper, influence of the magnetic field on a viscous incompressible conducting fluid flow through an anisotropic rotating porous channel is considered. The flow within the porous channel is governed by Brinkman equation. No-slip boundary condition is used on the walls of the channel. Analytical solutions for the primary and secondary velocities are obtained. The influence of various parameters such as Hartmann number, Taylor number, and Darcy number on the flow is discussed. We find that these parameters affect the flow remarkably. By magnetic field one can control the velocity and volumetric flow rate. Velocity and volumetric flow rate in the primary and secondary directions are exhibited graphically. The tabular data presented show the effect of anisotropy on flow under rotation and magnetic field.