Local instability of an elliptical flow subjected to a Coriolis force

Me Me Naing, Yasuhide Fukumoto

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

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.

Original languageEnglish
Article number124401
Journaljournal of the physical society of japan
Volume78
Issue number12
DOIs
Publication statusPublished - Dec 2009

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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