Buoyancy Effects of Steady Laminar Boundary Layer Flow and Heat Transfer over a Permeable Flat Plate Immersed in a Uniform Free Stream with Convective Boundary Condition

This study aims at the influence of buoyancy of steady laminar boundary layer flow over a permeable flat plate in a uniform free stream, with the bottom surface of the plate is heated by convection from a hot fluid. Utilizing a similarity variable, the governing nonlinear partial differential equations are first transformed into ordinary differential equations before they are solved numerically by applying shooting iteration technique alongside with sixth-order Runge-Kutta integration scheme. The similarity solutions for the flow and thermal fields are possible if the mass transpiration rate at the surface and the convective heat transfer from the hot fluid on the lower surface of the plate vary like 2 1 − x and the thermal expansion coefficient β is proportional to 1 − x . The numerical results are compared with recently known results from the open literature for some particular cases of the present study, to support their validity. The effects of the governing parameters on the flow and thermal fields are investigated.