Analytical Results for a BVP Describing Radial Stagnation Flow with Transpiration

✍ Scribed by J.E. Paullet; P.D. Weidman

• Book ID: 102590031
• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 128 KB
• Volume: 247
• Category: Article
• ISSN: 0022-247X
• DOI: 10.1006/jmaa.2000.6852

✦ Synopsis

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.