Analytical Results for a BVP Describing Radial Stagnation Flow with Transpiration

We investigate the boundary value problem (BVP) resulting from an exact reduction of the Navier-Stokes equations for radial stagnation flow impinging on a porous cylinder with uniform transpiration. Existence of a solution is proven for all values of the Reynolds number and for both suction and blowing. The results are obtained using a topological shooting argument which varies a parameter related to the axial shear stress. This formulation permits a derivation of useful bounds on the axial shear stress in a straightforward manner. For a certain parameter range, uniqueness results are also obtained.