2023-06-03T15:25:59Z
https://meral.edu.mm/oai
oai:meral.edu.mm:recid/735
2021-12-13T01:38:33Z
1582963739756:1582967046255
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Local Instability of an Elliptical Flow Subjected to a Coriolis Force
Me Me Naing
Fukumoto, Yasuhide
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.
2009
http://hdl.handle.net/20.500.12678/0000000735
https://meral.edu.mm/records/735