Effect of free convection flow f a visco-elastic fluid past an infinite vertical flat plate in presence of a transverse magnetic field

Abstract

The unsteady free oonveotion flow of a visco~elastic eleotrically conduoting fluid past an infinite non-conducting vertical flat plate 1n presence of a transverse magnetic field has been studied. The magnetio lines of force have been fixed relative to the plate. Laplace transform technique has been employed to solve the basic differential equations. The influence of Grashof number G, Prandtl number Pr, elastic prameter S and magnetic field para~eter M on the velocity distribution and skin-friotion faotor have been presented for (1) Impulsive motion and (2) Uniformly accelerated motion of the plate. The velocity profile increases with an increase in time parameter T and Grashof number G for impulsive m~~ion as well as for uniformly accelerated motion when the ~lat~ is being cooled. Here the effeot of elastic parameter S 1S to d",crease the velocity field in case of both the motions, Skin frl.etion decreases with Pramltl number Pr fe", externally cooled ~late. Furthermore it is observed that skin friction is greater in the case of uniformly accelerated motion than in the case of impulsive motion for both colling and heating of the plate for small