The Stewartson layer of a rotating disk of finite radius |
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Authors: | A. I. van de Vooren |
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Affiliation: | (1) Department of Mathematics, University of Groningen, P.O. Box 800, 9700 AV Groningen, The Netherlands |
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Abstract: | It is shown that if a disk of finite radius and the surrounding medium rotate coaxially with slightly different angular velocities, an axial layer in the form of a cylindrical shell exists at the edge of the disk. This shell of thickness O(E1/3) has length O(E–1) in axial direction, where E is the Ekman number. Its most characteristic element is the axial velocity of O(E1/6) which is larger than everywhere else in the field. We calculate the velocity components and the pressure in this layer. |
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