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Published on: February 13, 2018
Azimuthal solitary surface wave in cylindrical tank
Hamid Ait Abderrahmane1, Mustapha Amaouche, Mohamed Fayed
1Department of Mechanical Engineering, McGill University, Montréal, Québec, Canada H3A 2K6. haitabd@hotmail.com
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|November 9, 2011
Summary
Researchers studied solitary surface waves during water drainage from a cylindrical reservoir. The wave speed and amplitude showed a linear dependence, similar to the Korteweg-de Vries equation.
Area of Science:
- Fluid dynamics
- Nonlinear wave phenomena
Background:
- Solitary surface waves can form during fluid drainage.
- Shallow flow conditions are critical for observing specific wave behaviors.
Purpose of the Study:
- To investigate the azimuthal solitary surface wave during water drainage from a cylindrical reservoir.
- To analyze the relationship between wave speed and amplitude under shallow flow conditions.
Main Methods:
- Observational study of water drainage dynamics.
- Analysis of wave characteristics in a cylindrical reservoir.
Main Results:
- A solitary surface wave rotating in the azimuthal direction was observed.
- A linear dependence between wave speed and amplitude was identified.
- The observed wave behavior aligns with predictions from the Korteweg-de Vries equation.
Conclusions:
- The study confirms the existence of azimuthal solitary surface waves in this specific scenario.
- The findings provide empirical support for the applicability of the Korteweg-de Vries equation to shallow water wave dynamics.
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