TY - JOUR
T1 - A note on relative equilibria in a rotating shallow water layer
AU - Ait Abderrahmane, Hamid
AU - Fayed, Mohamed
AU - Ng, Hoidick
AU - Vatistas, Georgios H.
N1 - KAUST Repository Item: Exported on 2020-10-01
PY - 2013/5/8
Y1 - 2013/5/8
N2 - 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. © 2013 Cambridge University Press.
AB - 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. © 2013 Cambridge University Press.
UR - http://hdl.handle.net/10754/562760
UR - https://www.cambridge.org/core/product/identifier/S0022112013001833/type/journal_article
UR - http://www.scopus.com/inward/record.url?scp=84878328224&partnerID=8YFLogxK
U2 - 10.1017/jfm.2013.183
DO - 10.1017/jfm.2013.183
M3 - Article
SN - 0022-1120
VL - 724
SP - 695
EP - 703
JO - Journal of Fluid Mechanics
JF - Journal of Fluid Mechanics
ER -