Phys. Rev. E 84, 037302 (2011) - Azimuthal solitary surface wave in cylindrical tank

Azimuthal solitary surface wave in cylindrical tank

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

Phys. Rev. E 84, 037302 – Published 22 September 2011

Abstract

This Brief Report is devoted to the study of the solitary surface wave rotating in the azimuthal direction, arising during water drainage from a cylindrical reservoir, when shallow flow conditions are reached. The linear dependence between the wave speed and its amplitude is shown to be similar to that expected from the classical Korteweg–de Vries equation.

Received 5 July 2011

DOI:https://doi.org/10.1103/PhysRevE.84.037302

©2011 American Physical Society

Authors & Affiliations

Hamid Ait Abderrahmane^*

Department of Mechanical Engineering, McGill University, Montréal, Québec, Canada H3A 2K6

Mustapha Amaouche

Laboratoire de Physique Nonlineaire, Université de Béjaia, Algeria

Mohamed Fayed, Hoi Dick Ng, and Georgios H. Vatistas

Department of Mechanical and Industrial Engineering, Concordia University, Montréal, Québec, Canada H3G 1M8

Kamran Siddiqui

Department of Mechanical and Materials Engineering, University of Western Ontario, London, Ontario, Canada N6A 5B9

^*haitabd@hotmail.com

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Issue

Vol. 84, Iss. 3 — September 2011

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