UDC 536.25+537.84

D. S. Chauhan and R. Agrawal

MHD FLOW AND HEAT TRANSFER IN A CHANNEL BOUNDED BY A SHRINKING SHEET AND A PLATE WITH A POROUS SUBSTRATE
This research is concerned with heat transfer and an MHD flow of a viscous incompressible electrically conducting fluid in a channel bounded by a shrinking sheet and an impermeable plate. A fluid-saturated porous substrate of a very low permeability is attached to the impermeable plate. The flow in the channel is induced by the upper shrinking sheet, where a constant suction is imposed. By introducing the similarity transformations, the governing partial differential equations for the flow and heat transfer are transformed to ordinary differential equations which are solved analytically by using the perturbation series method for a small shrinking parameter. Expressions for the velocity distribution, temperature field, skin friction, and heat transfer rate are obtained, and numerical computations are carried out for various parameters. The results are displayed graphically and discussed. Keywords: MHD flow, heat transfer, shrinking sheet, porous substrate, permeability. Department of Mathematics, University of Rajasthan, Jaipur-302055, India; email: dileepschauhan@gmail.com. Original article submitted January 25, 2010; revision submitted March 28, 2011.