Effects of radiation and viscous dissipation on unsteady free convective flow past a moving vertical porous plate embedded in a porous medium

Abstract: Effects of radiation on unsteady free convection flow of a viscousincompressible fluid past a moving vertical plate embedded in aporous medium on taking  viscous dissipation into account havebeen studied. The governing partial differential equations havebeen solved numerically by applying a Crank - Nicolson's type ofimplicit finite difference method with a tri-diagonal matrixmanipulation and an iterative procedure. The variations of thefluid velocity and temperature are presented graphically. It isfound that the radiation decelerates the fluid velocity. The fluidvelocity increases with an increase in Darcy number. An increasein Eckert number leads to rise in fluid velocity and temperature.Further, it is found that the magnitude of the shear stress at theplate increases with an increase in either radiation parameter orPrandtl number. The rate of heat transfer at the plate increaseswith an increase in radiation parameter. This model findsapplications in geophysics, astrophysics and also in the design ofhigh temperature industrial processing systems.