Department of Mathematics and Statistics, H.P.U., Summer hill, Shimla-171005
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. Time-dependent 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.
MHD, Rivlin-Ericksen flow, semi-infinite porous plate, variable temperature, heat and mass transfer