2026-10-25T12:58:39Z https://meral.edu.mm/oai

oai:meral.edu.mm:recid/735 2021-12-13T01:38:33Z 1582963739756:1582967046255 user-um

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