Z. Naturforsch. 68a, 554 – 566
Radiation Effects on Dissipative Magnetohydrodynamic Couette Flow in a Composite Channel
1 Department of Mathematics, University of Rajasthan, Jaipur, 302004, India
2 Department of Mathematics, Poornima University, Jaipur, 30395, India
Received July 18, 2012 / revised March 26, 2013 / published online July 3, 2013
This paper examines radiative thermal regime in dissipative magnetohydrodynamic (MHD) Couette flow in a composite parallel plate channel partially filled with a radiating fluid saturated porous medium and partially filled with a radiating clear fluid. The fluid is considered to be viscous, incompressible, optically dense, electrically conducting, and Newtonian. The radiative heat flux in the energy equation is assumed to follow the Rosseland approximation. Suitable matching conditions are used to match the momentum and thermal regimes in clear fluid and porous regions at the clear fluid–porous interface. The momentum and energy equations have closed form solutions. The effects of various parameters on the system are analyzed through graphs and tables.
Key words: Radiation; MHD Couette Flow; Composite Channel; Newtonian; Dissipation.