International Journal of Petroleum and Gas Engineering ISSN 5675-0715 Vol. 3 (2), pp. 001-008, February, 2016. © International Scholars Journals 

Full Length Research Paper

Hydromagnetic forced flow between a rotating disc and a naturally permeable stationary porous disc saturated with fluid

Bhupendra Kumar Sharma¹*, Tara Chand² and R. C. Chaudhary²

¹Department of Mathematics, Birla Institute of Technology and Science- Pilani, -333031, India.

²Department of Mathematics, University of Rajasthan, Jaipur-302004, India.

Accepted 14 December, 2015

Abstract

This paper considers the flow of a conducting viscous incompressible fluid between two non-conducting parallel discs, when the magnetic field was applied perpendicularly to the discs. The upper disc is in steady rotation, while the lower one is a stationary porous disc. The whole flow is divided into two regions: the free fluid region (between two parallel discs) and the porous region (this flow is of porous material). The approximate solutions are obtained by solving the Navier-Stokes equations in the free fluid region, and the Darcy’s equations in the porous region with suitable boundary conditions at the interface. The effects of rotation, Hartmann number and forced parameter have been considered on the flow characteristics and are illustrated by graphs. The flow is essentially dominated by rotational effect as well as by the forced parameter.

Key words: Magneto-hydrodynamic (MHD), incompressible fluid, forced flow. MSC (2000): 76D10, 76W05, 80A20.