TY - JOUR
T1 - Nonlinear modes in the hollow-cores of liquid vortices
AU - Amaouche, Mustapha
AU - Ait Abderrahmane, Hamid
AU - Vatistas, Georgios H.
N1 - KAUST Repository Item: Exported on 2020-10-01
PY - 2013/9
Y1 - 2013/9
N2 - In this paper we show that the wave patterns observed on the interfacial contours of hollow-core vortices, produced within a shallow layer of fluid contained in stationary cylinder and driven by a rotating disk at the bottom [G.H. Vatistas, H.A. Abderrahmane, M.H. Kamran Siddiqui, Experimental confirmation of Kelvin's equilibria, Phys. Rev. Lett. 100 (2008) 174503-174504], can be described as travelling cnoidal waves. These rotating stationary waves are obtained as solutions of a Korteweg-de Vries type equation, in accordance with the geometrical and kinematic characteristics of the observed polygonal patterns. © 2013 Elsevier Masson SAS. All rights reserved.
AB - In this paper we show that the wave patterns observed on the interfacial contours of hollow-core vortices, produced within a shallow layer of fluid contained in stationary cylinder and driven by a rotating disk at the bottom [G.H. Vatistas, H.A. Abderrahmane, M.H. Kamran Siddiqui, Experimental confirmation of Kelvin's equilibria, Phys. Rev. Lett. 100 (2008) 174503-174504], can be described as travelling cnoidal waves. These rotating stationary waves are obtained as solutions of a Korteweg-de Vries type equation, in accordance with the geometrical and kinematic characteristics of the observed polygonal patterns. © 2013 Elsevier Masson SAS. All rights reserved.
UR - http://hdl.handle.net/10754/562923
UR - https://linkinghub.elsevier.com/retrieve/pii/S0997754613000241
UR - http://www.scopus.com/inward/record.url?scp=84878850342&partnerID=8YFLogxK
U2 - 10.1016/j.euromechflu.2013.03.001
DO - 10.1016/j.euromechflu.2013.03.001
M3 - Article
SN - 0997-7546
VL - 41
SP - 133
EP - 137
JO - European Journal of Mechanics - B/Fluids
JF - European Journal of Mechanics - B/Fluids
ER -