Combined Effect of Heat and Mass Transfer on MHD Convective Rivlin-Ericksen Flow Past a Semi-Infinite Vertical Porous Plate with Variable Temperature

The problem of unsteady, viscous, incompressible, electrically conducting two-dimensional, laminar, boundary-layer flow of a Rivlin-Ericksen flow fluid along a semi-infinite vertical permeable moving plate in the presence of a uniform transverse magnetic field and thermal effect is considered. The plate is assumed to move with a constant velocity in the direction of fluid flow while the free stream velocity is assumed to follow the exponentially increasing small perturbation law. Timedependent wall suction is assumed to occur at the permeable surface. The dimensionless governing equations for this investigation are solved analytically using two-term harmonic and non-harmonic functions. Numerical evaluation of the analytical results is performed and some graphical results for the velocity, temperature, concentration profiles within the boundary layer are presented. Skin-friction coefficient, Nusselt numbers and the Sherwood number are also discussed with the help of the graphs.