Summary
In this paper it is shown, using a numerical technique, that axially-symmetric solutions of the boundary layer equations which describe the rotating flow near the equator of a rotating sphere are not unique. In certain regimes it is found that at least three possible solutions are possible. When the sphere and fluid rotate with almost the same angular velocity it is shown that the approach to solid body rotation is a non linear process.
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Ingham, D.B. Non-unique solutions of the boundary layer equations for the flow near the equator of a rotating sphere in a rotating fluid. Acta Mechanica 42, 111–122 (1982). https://doi.org/10.1007/BF01176517
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DOI: https://doi.org/10.1007/BF01176517