Heat transfer with variable conductivity in a stagnation-point flow towards a stretching sheet

This paper considers the heat transfer in a stagnation-point fluid flow over a flat sheet stretching with a linear velocity. The thermal conductivity is assumed to vary linearly with temperature. Both constant and variable wall temperature distributions are studied and two similarity equations are obtained. The first is then solved by using the regular perturbation technique and closed form analytical solutions are obtained up to second order. Both equations are also solved numerically by using a shooting method.