The competing effects of plate stretching and transpiration on rotational stagnation-point flow

The simultaneous effects of transpiration through and radial extensional motion of a flat plate on Agrawal stagnation-point flow is considered. Difficulties with standard shooting techniques are overcome using Crocco variables which also serve to better elucidate the solution structure. The governing similarity equation can be mapped into that found by Weidman, Davis & Kubitschek (2008) for uniform shear flow over a stretching surface with transpiration with the proviso that the boundary conditions on the radial stretch rate and transpiration are not the identical. However, this allows us to use the stability results for multiple steady flow solutions already found. Although the two problems are qualitatively similar they are quantitatively different.