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The Quarterly Journal of Mechanics and Applied Mathematics 1965 18(4):443-454; doi:10.1093/qjmam/18.4.443
© 1965 by Oxford University Press
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THE BOUNDARY LAYER ON A ROTATING SPHERE

W. H. H. BANKS

( Department of Applied Mathematics, The University of Liverpool )

Using the series expansion suggested by Howarth, the boundary layer flow engendered by a rotating sphere has been investigated numerically. Four terms of the expansions appear to be sufficient to discuss the flow reasonably well from the pole to the equator, where the fluid erupts to form a swirling radial jet. Comparison with experiment concerning the resulting torque on the sphere is found to be very reasonable. Calculations using Stewartson's inviscid model in the eruption region indicate the existence of closed streamlines.


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