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  1. University of Mandalay
  2. Department of Mathematics

Local instability of a rotating flow driven by precession of arbitrary frequency

http://hdl.handle.net/20.500.12678/0000000771
http://hdl.handle.net/20.500.12678/0000000771
30e5fea3-d3f0-4046-aaa6-f8fa5f0dcaef
9c65aa56-2ba6-4dc0-aa92-7175cb8aa711
Publication type
Journal article
Upload type
Publication
Title
Title Local instability of a rotating flow driven by precession of arbitrary frequency
Language en
Publication date 2011
Authors
Me Me Naing
Fukumoto, Yasuhide
Description
We revisit the local stability, to three-dimensional disturbances, of rotating flows with circular streamlines, whose rotation axis executes constant precessional motion about an axis perpendicular to itself. In the rotating frame, the basic flow is steady velocity field linear in coordinates in an unbounded domain constructed by Kerswell (1993Geophys. Astrophys. Fluid Dyn.72 107–44), and admits the use of the Wentzel–Kramers–Brillouin (WKB) method. For a small precession frequency, we recover Kerswell’s result. A novel instability is found at a large frequency for which the axial wavenumber executes an oscillation around zero; significant growth of the disturbance amplitude occurs in a very short time interval only around the time when the axial wavenumber vanishes. In the limit of infinite precession frequency, the growth rate exhibits singular behavior with respect to a parameter characterizing the tilting angle of the wave vector. (Some figures in this article are in colour only in the electronic version)
Keywords
Local Stability
Identifier https://umoar.mu.edu.mm/handle/123456789/278
Journal articles
Fluid Dynamics Research
Conference papaers
Books/reports/chapters
Thesis/dissertations
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