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Resonant Flow of a Rotating Fluid Past an Obstacle: The General Case
Author(s) -
Grimshaw R.
Publication year - 1990
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1002/sapm1990833249
Subject(s) - obstacle , antisymmetric relation , physics , flow (mathematics) , mechanics , shear flow , classical mechanics , rotating reference frame , upstream (networking) , potential flow , amplitude , mathematical physics , optics , engineering , telecommunications , political science , law
We consider the flow of a rotating fluid past an antisymmetric obstacle placed on the axis of a cylindrical tube, for the case when the upstream flow is nearly resonant, or critical, so that the speed of a free linear long wave is nearly zero in the frame of reference of the obstacle. The perturbed flow is dominated by the resonant mode, whose amplitude satisfies a forced Korteweg—de Vries equation in this general case when the upstream flow contains radial shear andjor radially dependent angular velocity.