Abstract.We study the free convection flow of a viscous incompressible fluid between two finitely long vertical walls, one of which is corrugated, in the presence of an external transverse magnetic field which is applied uniformly. The walls are maintained at constant but different temperatures. We look at the case when heat source or sink is presented in the fluid. The governing equations are solved by a perturbation technique. Expressions for the zeroth-order, the first-order and the total solutions are obtained and evaluated numerically. A parametric study of some of the physical parameters involved in the problem is performed to illustrate the influence of these parameters on the flow characteristics.

Received: December 25, 2006

AMS Subject Classification: 76D05, 76M25

Key Words and Phrases: MHD flows, free convection, corrugated, constricted and dilated channels

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2006
Volume: 27
Issue: 2