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  1. University of Mandalay
  2. Department of Mathematics

Local Instability of an Elliptical Flow Subjected to a Coriolis Force

http://hdl.handle.net/20.500.12678/0000000735
http://hdl.handle.net/20.500.12678/0000000735
9a9fb016-d2d3-458f-a715-5b2f7f48515e
c2351345-c745-498f-a2a4-f22b64295b43
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Local Local instability of an Elliptical Flow Subjected to a Coriolis Force.pdf (327 Kb)
Publication type
Journal article
Upload type
Publication
Title
Title Local Instability of an Elliptical Flow Subjected to a Coriolis Force
Language en
Publication date 2009
Authors
Me Me Naing
Fukumoto, Yasuhide
Description
We make the local stability analysis of a rotating flow with circular or elliptically strained streamlines,
whose rotation axis executes constant precessional motion about an axis perpendicular to itself, based on
the WKB method. In the frame rotating with the precessional angular velocity, the basic flow is a steady
velocity field linear in coordinates in an unbounded domain. For the case of slow precession, without
strain, the growth rate takes the same value as that of Kerswell (1993) though the basic flow is different.
We find that, in the absence of strain, the growth rate approaches the angular velocity of the basic flow as
the precessional angular velocity is increased. The cooperative action of the weak Coriolis force and the
elliptical straining field is investigated both numerically and analytically. An analysis of using the
Mathieu method reveals that the elliptical instability is weakened by the precession, while the
precessional instability is either enhanced or weakened depending on the orientation of the strain.
Keywords
local stability
Identifier https://umoar.mu.edu.mm/handle/123456789/277
Journal articles
12
Journal of the Physical Society of Japan
78
Conference papaers
Books/reports/chapters
Thesis/dissertations
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