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Incompressible flow in a rapidly rotating cylinder with a source/sink distribution in the lateral wall and a free inner boundary
Author(s) -
Ribando Robert J.
Publication year - 1983
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1650030602
Subject(s) - mechanics , compressibility , cylinder , rotational symmetry , flow (mathematics) , potential flow around a circular cylinder , physics , free surface , mathematics , sink (geography) , boundary layer , geometry , classical mechanics , open channel flow , cartography , geography
The flow of an incompressible fluid in a rapidly rotating right circular cylinder is considered. A source/sink mass distribution at the lateral wall, which is azimuthally uniform and symmetric across the midplane, causes a deviation from wheel flow. The container is only partially full and the inner free surface is allowed to deviate slightly from the vertical. A finite‐difference solution of the full axisymmetric, non‐linear governing equations was used to obtain the flow field. A special implicit technique for the Coriolis terms which maintains geostrophy was developed and is described. The results obtained for a low Rossby number flow compare quite favourably with the linearized solution. Results are also presented for a case wherein the non‐linear terms are important.