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The Quarterly Journal of Mechanics and Applied Mathematics 1987 40(1):15-32; doi:10.1093/qjmam/40.1.15
© 1987 by Oxford University Press
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THE BOUNDARY LAYER ON A DISK AT REST IN A ROTATING FLUID

A. I. VAN DE VOOREN, E. F. F. BOTTA and J. STOUT

( Department of Mathematics, University of Groninge PO Box 800, 9700 AV Groningen, The Netherlands )

The boundary-layer equations for the flow along an immobile disk of finite radius placed in a (solid body) rotating fluid have been solved. Due to reversed flow in the boundary layer this leads to a so-called singular parabolic equation with boundary values available along the complete boundary. This boundary-value problem has been solved by line iteration and underrelaxation in the same way as for an elliptic problem. The torque exerted on the disk has been calculated.


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