LAUSR

The normal impingement of Hiemenz stagnation-point flow on a surface executing biaxial stretching is studied. The problem is governed by two parameters, $$\alpha $$α the stretching rate in the streamwise direction of the stagnation-point flow and $$\beta $$β the stretching rate in the cross-flow direction. Numerical solutions as a function of $$\beta $$β are given for values of $$\alpha $$α over the range $$-2 \le \alpha \le 2$$-2≤α≤2. Dual solutions are found everywhere and triple solutions exist for all $$\beta > 0$$β>0 over a range of $$\alpha $$α and the boundaries for the dual and triple solutions are shown in graphical form. The points of zero wall shear stress in the streamwise and cross-flow directions are also plotted in ($$\alpha $$α, $$\beta $$β) parameter space. Sample similarity velocity profiles for the dual and triple solutions are also presented.