Unsteady convective mass transfer flow of a viscous incompressible fluid along a vertical porous flat plate in presence of constant suction and heat source

Abstract

This paper analyzes the unsteady convective mass transfer flow of a viscous incompressible fluid along a vertical porous flat plate in presence of constant suction and heat source. Using multi parameter perturbation technique, the governing equations of the flow field are solved analytically for velocity, temperature, concentration distribution, skin friction and the rate of heat transfer. The effects of the important flow parameters such as heat source parameter S, Grashof number for heat and mass transfer Gr, Gc; permeability parameter Kp, Schmidt number Sc, Prandtl number Pr etc. on the flow field are discussed with the help of figures and table. It is observed that a growing heat source parameter or Grashof number for heat / mass transfer or permeability parameter Kp accelerates the transient velocity of the flow field at all points. An increase in Schmidt number Sc decelerates the transient velocity at all points of the flow field. The Prandtl number Pr decreases the transient temperature of the flow field at all points while a growing permeability parameter or heat source parameter reverses the effect. An increase in Schmidt number reduces the concentration boundary layer thickness of the flow field at all points. The effect of growing permeability parameter increases the skin friction at the wall, while a growing Prandtl number reverses the effect. A growing Prandtl number or permeability parameter enhances the magnitude of the rate of heat transfer at the wall.