Rotating free-shear flows. I. Linear stability analysis

Shinichiro Yanase, Carlos Flores, Olivier Métais, James J. Riley

Research output: Contribution to journalArticle

50 Citations (Scopus)

Abstract

Using linear stability analysis, the instability characteristics are examined of both planar wakes and mixing layers subjected to rigid-body rotation with axis of rotation perpendicular to the plane of the ambient flow. In particular, the tendency of rotation to stabilize or destabilize three-dimensional motions is addressed. In the inviscid limit the results are consistent with the criterion established by Pedley [J. Fluid Mech. 35, 97 (1969)] and Bradshaw [J. Fluid Mech. 36, 177 (1969)]. Cyclonic rotation and strong anticyclonic rotation tend to stabilize three-dimensional motions, whereas weaker anticyclonic rotation (Ro>1) acts to destabilize these motions. This latter instability is in the form of streamwise rolls, similar to previous results obtained for boundary layer and channel flows. It is found that this instability is stronger than the coexisting Kelvin-Helmholtz instability for roughly the range 1.5

Original languageEnglish
Pages (from-to)2725-2737
Number of pages13
JournalPhysics of Fluids A
Volume5
Issue number11
Publication statusPublished - 1992

Fingerprint

Linear stability analysis
Shear flow
shear flow
three dimensional motion
Kelvin-Helmholtz instability
axes of rotation
boundary layer flow
fluids
channel flow
rigid structures
Fluids
Boundary layer flow
wakes
Channel flow
tendencies

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Physics and Astronomy(all)
  • Mechanics of Materials
  • Computational Mechanics
  • Fluid Flow and Transfer Processes

Cite this

Yanase, S., Flores, C., Métais, O., & Riley, J. J. (1992). Rotating free-shear flows. I. Linear stability analysis. Physics of Fluids A, 5(11), 2725-2737.

Rotating free-shear flows. I. Linear stability analysis. / Yanase, Shinichiro; Flores, Carlos; Métais, Olivier; Riley, James J.

In: Physics of Fluids A, Vol. 5, No. 11, 1992, p. 2725-2737.

Research output: Contribution to journalArticle

Yanase, S, Flores, C, Métais, O & Riley, JJ 1992, 'Rotating free-shear flows. I. Linear stability analysis', Physics of Fluids A, vol. 5, no. 11, pp. 2725-2737.
Yanase S, Flores C, Métais O, Riley JJ. Rotating free-shear flows. I. Linear stability analysis. Physics of Fluids A. 1992;5(11):2725-2737.
Yanase, Shinichiro ; Flores, Carlos ; Métais, Olivier ; Riley, James J. / Rotating free-shear flows. I. Linear stability analysis. In: Physics of Fluids A. 1992 ; Vol. 5, No. 11. pp. 2725-2737.
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