Boundary Layer Flow and Heat Transfer over a Permeable Surface Moving with Exponentially Decreasing Velocities in a Parallel Free Stream

In this paper, we investigate the problem of steady boundary layer flow and heat transfer of a viscous and incompressible fluid over a permeable semi-infinite flat plate moving with exponentially decreasing velocities in a parallel free stream. The velocities of the moving flat plate and the free stream as well as the temperature of the moving plate are assumed to have a specific exponential decreasing function forms. The governing equations are first transformed to the similarity equations using an appropriate similarity transformation. Then, the resulting equations are solved by using shooting technique which is done with the aid of shootlib function in Maple software. The effects of the mass flux for suction and lateral injection, and the parameter that controls the exponential increment of the temperature on the flow characteristics are analysed and discussed. It is observed that there exist dual solutions for this present study.