Online Publication Date2013-05-08
Print Publication Date2013-06
Permanent link to this recordhttp://hdl.handle.net/10754/562760
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AbstractRelative 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 etÂ al.Â (J.Â FluidÂ 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. © 2013 Cambridge University Press.
CitationAit Abderrahmane, H., Fayed, M., Ng, H. D., & Vatistas, G. H. (2013). A note on relative equilibria in a rotating shallow water layer. Journal of Fluid Mechanics, 724, 695–703. doi:10.1017/jfm.2013.183
PublisherCambridge University Press (CUP)
JournalJournal of Fluid Mechanics