Symmetrization of a polygonal hollow-core vortex through beat-wave resonance

Hamid Ait Abderrahmane; Kamran Siddiqui; Georgios H. Vatistas; Mohamed Fayed; Hoi Dick Ng

doi:10.1103/PhysRevE.83.056319

Symmetrization of a polygonal hollow-core vortex through beat-wave resonance

Hamid Ait Abderrahmane
, Kamran Siddiqui
, Georgios H. Vatistas
, Mohamed Fayed
, Hoi Dick Ng

Mechanical & Nuclear Engineering

University of Western Ontario
Concordia University

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

9 Scopus citations

Abstract

We report on the symmetrization phenomenon of a hollow-core vortex in shallow liquid conditions. This phenomenon accompanies the transition of m wave into (m + 1) wave and involves a beat-wave resonance that mediates energy transfer between the background flow and the vortex core. It is shown that this beat wave has a frequency m(m-1)times the frequency of the parent m wave.

Original language	British English
Article number	056319
Journal	Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume	83
Issue number	5
DOIs	https://doi.org/10.1103/PhysRevE.83.056319
State	Published - 16 May 2011

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title = "Symmetrization of a polygonal hollow-core vortex through beat-wave resonance",

abstract = "We report on the symmetrization phenomenon of a hollow-core vortex in shallow liquid conditions. This phenomenon accompanies the transition of m wave into (m + 1) wave and involves a beat-wave resonance that mediates energy transfer between the background flow and the vortex core. It is shown that this beat wave has a frequency m(m-1)times the frequency of the parent m wave.",

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AU - Ait Abderrahmane, Hamid

AU - Siddiqui, Kamran

AU - Vatistas, Georgios H.

AU - Fayed, Mohamed

AU - Ng, Hoi Dick

PY - 2011/5/16

Y1 - 2011/5/16

N2 - We report on the symmetrization phenomenon of a hollow-core vortex in shallow liquid conditions. This phenomenon accompanies the transition of m wave into (m + 1) wave and involves a beat-wave resonance that mediates energy transfer between the background flow and the vortex core. It is shown that this beat wave has a frequency m(m-1)times the frequency of the parent m wave.

AB - We report on the symmetrization phenomenon of a hollow-core vortex in shallow liquid conditions. This phenomenon accompanies the transition of m wave into (m + 1) wave and involves a beat-wave resonance that mediates energy transfer between the background flow and the vortex core. It is shown that this beat wave has a frequency m(m-1)times the frequency of the parent m wave.

UR - https://www.scopus.com/pages/publications/79961039598

U2 - 10.1103/PhysRevE.83.056319

DO - 10.1103/PhysRevE.83.056319

M3 - Article

AN - SCOPUS:79961039598

SN - 1539-3755

VL - 83

JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

IS - 5

M1 - 056319

ER -

Symmetrization of a polygonal hollow-core vortex through beat-wave resonance

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