Numerical Solution of Laminar Boundary Layer Flow About a Rotating Sphere in an Axial Stream

[+] Author and Article Information
M. A. I. El-Shaarawi, M. F. El-Refaie, S. A. El-Bedeawi

Department of Mechanical Engineering, Alazhar University, Nasr City, Cairo, Egypt

J. Fluids Eng 107(1), 97-104 (Mar 01, 1985) (8 pages) doi:10.1115/1.3242448 History: Received March 13, 1984; Online October 26, 2009


A finite-difference scheme is developed for solving the boundary layer equations governing the laminar flow about a rotating sphere which is subjected to a uniform stream in the direction of the axis of rotation. Numerical results are presented for the meridional and azimuthal velocities and for the wall-shear-stress components. Also, the angle at which the meridional velocity gradient normal to the wall vanishes is given at values of the parameter Ta/Re2 ranged from zero (the stationary sphere case) to 10000. As compared with the momentum integral technique of Schlichting [8], the present scheme succeeded in obtaining solutions for very considerably larger values of the parameter Ta/Re2 .

Copyright © 1985 by ASME
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