Free Convective Heat and Mass Transfer Flow under the Effect of Sinusoidal Suction with Time Dependent Permeability

In the present paper the investigation is undertaken to study the problem free convective heat and mass transfer flow of an incompressible viscous fluid over an infinite vertical porous plate embedded in a porous medium. The porous plate is subjected to transverse periodic suction velocity with the permeability fluctuating with time. The unsteadiness is due to time dependent porous medium as well as the suction velocity. With the use of necessary boundary conditions, firstly the governing equations are changed into dimensionless form by using the non-similar transformations. These dimensionless governing equations provide a set of coupled non-similar partial differential equations which after using series expansion method results to the expressions for the transient velocity, transverse velocity, temperature and concentration. During the course of discussion, it is found that the various parameters related to the problems influence the calculated resultant expressions. Lastly the profiles of transient and transverse velocity, temperature and concentration are analyzed and discussed graphically. Keywords— magnetohydrodynamical flow, free convective heat transfer, mass transfer, incompressible fluid, viscous periodic flow.