Abstract
Effects of heat source and radiative heat transfer on unsteady hydromagnetic natural convective laminar flow of an incompressible homogeneous, electrical conducting, viscous fluid through a porous medium in a vertical channel consisting of semi-infinite parallel walls is studied. The fluid flows under the influence of uniform magnetic field applied normal to the flow. Using the Laplace transform technique, the solutions for velocity and temperature fields are obtained. Expressions for skin friction and rate of heat transfer are also derived. The effects of material parameters on temperature distribution, velocity field, skin friction, and rate of heat transfer are discussed for symmetrical cooling of the channel walls. The effects of material parameters on velocity are shown graphically, while those of skin friction and heat transfer rate are presented in tabular form and a corresponding discussion is made. The model finds applications in nuclear heat transfer processes, metallurgy, and energy systems.
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