Indian Journal of Science and Technology

Abstract

In the present work, we have considered the unsteady three-dimensional flow and heat transfer of a viscous incompressible fluid over an infinite vertical flat porous plate in presence of viscous dissipative heat. The plate is subjected to a periodic variation of suction velocity when the free stream velocity oscillates in time about a constant mean. The flow becomes three-dimensional one due to the periodic suction velocity in transverse direction at the surface. By series expansion method, analytical expressions for transient velocity, temperature profile, the skin-friction and the rate of heat transfer have been obtained. It is observed that, an increase in Pr leads to fall in temperature and phase angle tanɸ2 of the rate of heat transfer, where as the amplitude H rises near the plate. Also, increasing the suction parameter caused reduction in the temperature distribution as well as amplitude of heat transfer. The present study is basically relevant to the application in different engineering sciences.
Keywords: Series solution, unsteady flow, viscous fluid, periodic suction, eckert number.