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- Hamid Ait Abderrahamne, Kamran Siddiqui, Georgios H Vatistas
- Physical review. E, Statistical, nonlinear, and…
- 2009

A transition between Kelvin's equilibrium states is investigated. Using nonlinear theory, we have shown that the transition of polygonal patterns of the hollow vortex core from mode N=2 through N=4 occurs in two steps: quasiperiodicity and frequency locking. We have also shown that this transition can be modeled by a one-dimensional circle map. We… (More)

- Georgios H Vatistas, Hamid A Abderrahmane, M H Kamran Siddiqui
- Physical review letters
- 2008

We experimentally corroborate the core analytical deductions of Thomson's 124-year-old theorem, vis-à-vis the stability of a ring of N vortices. Observations made in water vortices produced inside a cylinder via a revolving disk confirm that the regular N-gons are stable for N<or=6 and unstable for N>or=8. The N<or=6 equilibria are exceptionally resilient.… (More)

- Alex Povitsky, Tinghui Zheng, Georgios H. Vatistas
- Mathematics and Computers in Simulation
- 2003

- Hamid Ait Abderrahmane, Mustapha Amaouche, Mohamed Fayed, Hoi Dick Ng, Georgios H Vatistas, Kamran Siddiqui
- Physical review. E, Statistical, nonlinear, and…
- 2011

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.

- Mustapha Amaouche, Hamid Ait Abderrahmane, Georgios H Vatistas
- Physical review. E, Statistical, nonlinear, and…
- 2013

This paper deals with the theoretical modeling of a rotating solitary surface wave that was observed during water drainage from a cylindrical reservoir, when shallow water conditions were reached. It represents an improvement of our previous study, where the radial flow perturbation was neglected. This assumption led to the classical planar Korteweg-de… (More)

- Georgios H. Vatistas, Hamid Ait Abderrahmane
- J. Visualization
- 2008

- Georgios H. Vatistas, Hamid Ait Abderrahmane
- J. Visualization
- 2006

- Hamid Ait Abderrahmane, Kamran Siddiqui, Georgios H Vatistas, Mohamed Fayed, Hoi Dick Ng
- Physical review. E, Statistical, nonlinear, and…
- 2011

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… (More)

- Salah R. Agha, Ali M. Jawarneh, Georgios H. Vatistas, Amer Ababneh, Adel Alouche, Hema Chandra Reddy
- 2008

This study uses Analytic Hierarchy Process (AHP) as a multi-criteria decision making technique for evaluating training programs. Critical factors characterizing successful training programs are first identified using interviews with experts along with questionnaires. Once the factors were identified, the hierarchy was constructed and the factors were ranked… (More)

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