Heat transfer in non-axisymmetric Homann stagnation-point flows towards a stretching sheet

We have studied heat transfer in non-axisymmetric Homann stagnation-point flows towards a stretching sheet. In a recent paper, Weidman (2012) has modified Homann stagnation point flow and made it non-axisymmetric over a rigid plate. Now, if the plate is not rigid but linearly stretched with velocities in the x- and y-directions, and heat is transferred from the plate to the ambient fluid, then there is a new family of asymmetric viscous stagnation-point flows depending on the ratios of shear to strain rate at the plate γ(=b∕c), and the strain-rate of the ambient fluid to strain-rate at the plate λ(=a∕c) in the range −∞<γ,λ<∞. Here, a, b are the strain rate, shear rate of the stagnation-point flow, and c is the strain-rate at the plate. We have also studied the heat transfer in the flow. The governing momentum equations are solved numerically using a fourth order Runge-Kutta method with a shooting technique. The effect of the various parameters on the wall shear-stress parameters, dimensionless velocities, displacement thicknesses and temperature distributions are analysed. Numerical results of wall shear-stress and displacement thickness are compared with their large value behaviours and those behaviours give a good agreement with the corresponding numerical solutions.