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Dynamics of fully nonlinear capillary-gravity solitary waves under normal electric fields
T Gao1,2, P A Milewski3, D T Papageorgiou1
11Department of Mathematics, Imperial College London, London, SW7 2AZ UK.
Journal of Engineering Mathematics
|January 28, 2020
Summary
This study numerically investigates two-dimensional capillary-gravity waves in a dielectric fluid under a vertical electric field. Researchers analyzed the stability and dynamics of these fully nonlinear waves.
Area of Science:
- Fluid dynamics
- Nonlinear wave phenomena
- Electromagnetohydrodynamics
Background:
- Capillary-gravity waves are fundamental in fluid mechanics.
- Electric fields can significantly alter fluid interfaces.
- Previous studies often focused on linear or simplified nonlinear wave models.
Purpose of the Study:
- To investigate the behavior of two-dimensional capillary-gravity waves.
- To analyze the influence of a vertical electric field on these waves.
- To study the stability and dynamics of fully nonlinear waves.
Main Methods:
- Numerical simulation using time-dependent conformal mapping.
- Modeling a dielectric fluid of infinite depth.
- Considering an interface with a passive, perfectly conducting fluid.
Main Results:
- Successfully simulated fully nonlinear capillary-gravity waves.
- Observed the impact of the electric field on wave characteristics.
- Provided insights into wave stability and dynamic evolution.
Conclusions:
- The electric field plays a crucial role in shaping capillary-gravity wave dynamics.
- Conformal mapping is effective for studying nonlinear interfacial waves.
- This research contributes to understanding complex fluid behavior under external fields.
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