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EN
Transient free convection flow of an incompressible viscous fluid past a semi-infinite vertical plate has been studied by using an implicit finite-difference technique, which is always stable and convergent. The effect of the dissipation parameter ? on time to reach steady-state is studied. It is observed that time required to reach steady-state temperature increases with the increasing Prandtl number of fluid. Also there is a rise in the average skin-friction and a fall in the average Nusselt number due to greater viscous dissipative heat.
EN
A finite-difference solution to the unsteady free and forced convection flow of a dissipative fluid through a homogeneous porous medium past an infinite vertical isothermal plate is derived. Velocity and temperature profiles are shown graphically whereas the numerical values of the skin-friction and the rate of heat transfer are listed in a table. It is observed that the velocity decreases when the permeability parameter 'sigma' or the Grashof number G or the Eckert number E increase. Temperature and the rate of heat transfer are found to increase with increasing 'sigma' but the skin-friction decreases with increasing 'sigma'. The skin-friction decreases with increasing 'sigma'. The skin-friction increases but the rate of heat transfer decreases with increasing G, E (Eckert number) or time t.
EN
Combined free and forced convection flow of water at 4oC has been studied when the free-stream is of the form exp (mx/2) where m is a constant and x is the distance measured along the semi-infinite vertical plate from the leading edge. Similarity solutions are obtained and the velocity and temperature profiles are shown on graphs, whereas the numerical values of the skin-friction and the rate of heat transfer are listed in a table. The effects of the fall in the temperature of water from 20oC to 4oC are discussed. Also the effects of Gr/Re2 (Gr - the Grashof number and Re - the Reynolds number) on the skin friction and the heat transfer are discussed.
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