Summary
The shape of the free surface of a second order fluid, enclosed between vertical concentric cylinders with the inner cylinder rotating with angular velocityΩ, is calculated. The calculation uses a perturbation procedure in which, for slow flows, the boundary conditions on the free surface are transformed to boundary conditions on the fixed horizontal surface obtained whenΩ is zero. The results are tested experimentally.
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Kaye, A. The shape of a liquid surface between rotating concentric cylinders. Rheol Acta 12, 206–211 (1973). https://doi.org/10.1007/BF01635105
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DOI: https://doi.org/10.1007/BF01635105