"Unsteady Flow Past an Accelerated Vertical Plate through Porous Medium in the Presence of Thermal Radiation with Variable Temperature"

Abstract

The one-dimensional unsteady flow past an accelerated vertical plate with the variable temperature and uniform mass diffusion has been carried out through the porous medium in the presence of thermal radiation. The dimensionless governing equations are solved analytically using Laplace transform technique.The flow characteristics of velocity, temperature and concentration are carried for the different physical parameters like thermal Grashof number, modified Grashof number, permeability parameter, radiation parameter, Prandtl number, Schmidt number, and time.The velocity profiles were obtained for the different values of the modify Grashof number Gr, thermal Grashof number Gc, Schmidt numberthermal radiation R and time t. It shows that the velocity decreases with the increasing of the Gr and also the velocity increases with the increasing of the Gc, Schmidt Number Sc, thermal radiation R and time t. The temperature flow profiles for the different values of thermal radiation R and Prandtl number Pr were obtained. It can be observed that the temperature decreases with the increasing of the thermal radiation R and its decreases with the increasing of the prandtl number Pr. The effect of concentration for the different values of thermal radiation has been obtained. It is noted that the concentration decreases with the increasing of thermal radiatio R.