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Hiemenz stagnation-point flow impinging on a biaxially stretching surface

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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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  1. Department of Mechanical Engineering, University of Colorado, Boulder, CO, 80309-0427, USA

    Patrick Weidman

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  1. Patrick Weidman
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Correspondence to Patrick Weidman.

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Weidman, P. Hiemenz stagnation-point flow impinging on a biaxially stretching surface. Meccanica 53, 833–840 (2018). https://doi.org/10.1007/s11012-017-0761-7

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  • DOI: https://doi.org/10.1007/s11012-017-0761-7

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