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