### Abstract

The effect of a solid-body rotation, characterized by an angular velocity Ω, on a two-dimensional mixing layer (in a plane perpendicular to Ω) of relative vorticity ω_{2D}, upon which is superposed a small three-dimensional turbulent perturbation, is considered. Using the Kelvin theorem in the frame rotating with il, and with the aid of arguments based on the straining of absolute vortex filaments by the basic velocity, it is shown that the rotation is always stabilizing (with respect to the nonrotating case) in the cyclonic case. In the anticyclonic case, a slight rotation is destabilizing. At a local Rossby number R_{0} = |ω_{2D}|/ 2|Ω| of the order of 1, the anticyclonic rotation disrupts catastrophically the coherent structures of the mixing layer. Anticyclonic rotation becomes stabilizing again for R_{0} <0.5. Also presented are three-dimensional numerical simulations which support the theory, and agree qualitatively with experimental results. The consequences for oceanic and atmospheric vortices are briefly discussed.

Original language | English |
---|---|

Pages (from-to) | 403-407 |

Number of pages | 5 |

Journal | Physics of Fluids A |

Volume | 3 |

Issue number | 3 |

DOIs | |

Publication status | Published - Jan 1 1991 |

Externally published | Yes |

### ASJC Scopus subject areas

- Engineering(all)

## Fingerprint Dive into the research topics of 'Stabilizing and destabilizing effects of a solid-body rotation on quasi-two-dimensional shear layers'. Together they form a unique fingerprint.

## Cite this

*Physics of Fluids A*,

*3*(3), 403-407. https://doi.org/10.1063/1.858149