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A note on relative equilibria in a rotating shallow water layer

Published online by Cambridge University Press:  08 May 2013

Hamid Ait Abderrahmane ,
Mohamed Fayed ,
Hoi Dick Ng  and
Georgios H. Vatistas
Hamid Ait Abderrahmane*
Affiliation:
Division of Mathematical and Computer Sciences and Engineering, King Abdullah University of Science and Technology (KAUST), Thuwal, Saudi Arabia
Mohamed Fayed
Affiliation:
Department of Mechanical Engineering, Alexandria University, Egypt
Hoi Dick Ng
Affiliation:
Department of Mechanical and Industrial Engineering, Concordia University, Montreal, Quebec, Canada H3G 1M8
Georgios H. Vatistas
Affiliation:
Department of Mechanical and Industrial Engineering, Concordia University, Montreal, Quebec, Canada H3G 1M8
*
†Email address for correspondence: haitabd@hotmail.com
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Abstract

Relative equilibria of two and three satellite vortices in a rotating shallow water layer have been recorded via particle image velocimetry (PIV) and their autorotation speed was estimated. This study shows that these equilibria retain the fundamental characteristics of Kelvin’s equilibria, and could be adequately described by the classical idealized point vortex theory. The same conclusion can also be inferred using the experimental dataset of Bergmann et al. (J. Fluid Mech., vol. 679, 2011, pp. 415–431; J. Fluid Mech., vol. 691, 2012, pp. 605–606) if the assigned field’s contribution to pattern rotation is included.

JFM classification

Vortex Flows: Vortex Flows
Type
Papers
Information
Journal of Fluid Mechanics , Volume 724 , 10 June 2013 , pp. 695 - 703
Copyright
©2013 Cambridge University Press 

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References

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