Natural Convection Boundary Layer Flow of a Double Diffusive and Rotating Fluid Past a Vertical Porous Plate

An investigation is carried out for a fully developed unsteady magnetohydrodynamic free convection flow of a viscous incompressible and electrically conducting Newtonian fluid through porous medium bounded by an infinite vertical porous plate, in a rotating system in the presence of heat source and thermal diffusion. The porous plane and the porous medium are assumed to rotate in a solid body rotation. Whereas the vertical surface is subject to variable suction perpendicular to it and the temperature at this surface varies with respect to time about a nonzero constant mean. Analytical solutions for the distributions of velocity, temperature and concentration fields are obtained by using a regular perturbation technique. The effects of pertinent parameters on these distributions are studied numerically with the help of graphs. With the aid of the above flow quantities the expressions for skin friction, Nusselt number and Sherwood number are derived. Variations in these distributions are presented in tables. It is noticed that the velocity boundary layer condenses with the increasing values of Schmidt number. Flow reversal is prevented for low speed of rotation, high value of chemical reacting species and high value of magnetic parameter.