Nonlinear modes in the hollow-cores of liquid vortices

Mustapha Amaouche; Hamid Ait Abderrahmane; Georgios H. Vatistas

doi:10.1016/j.euromechflu.2013.03.001

Nonlinear modes in the hollow-cores of liquid vortices

Mustapha Amaouche, Hamid Ait Abderrahmane, Georgios H. Vatistas

Computer, Electrical and Mathematical Sciences and Engineering

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	133-137
Number of pages	5
Journal	European Journal of Mechanics - B/Fluids
Volume	41
DOIs	https://doi.org/10.1016/j.euromechflu.2013.03.001
State	Published - Sep 2013

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01

ASJC Scopus subject areas

General Physics and Astronomy
Mathematical Physics

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10.1016/j.euromechflu.2013.03.001

Cite this

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title = "Nonlinear modes in the hollow-cores of liquid vortices",

abstract = "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. {\textcopyright} 2013 Elsevier Masson SAS. All rights reserved.",

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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.

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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 -

Nonlinear modes in the hollow-cores of liquid vortices

Abstract

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