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Updated: Apr 7, 2026
10:03
The Preparation of Electrohydrodynamic Bridges from Polar Dielectric Liquids
Published on: September 30, 2014
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Korteweg-de Vries solitons on electrified liquid jets
Qiming Wang1, Demetrios T Papageorgiou2, Jean-Marc Vanden-Broeck3
1Department of Mathematics and Statistics, York University, Ontario M3J 1P3, Canada.
Summary
This study investigates electrocapillary waves on liquid jets, revealing conditions for solitary waves. Nonlinear analysis shows these waves can be of elevation or depression, depending on electric field parameters.
Area of Science:
- Fluid dynamics
- Electromagnetism
- Wave propagation
Background:
- Axisymmetric waves on liquid jets are influenced by radial electric fields.
- An interaction between hydrodynamics and electric fields forms electrocapillary waves.
Purpose of the Study:
- To describe nonlinear aspects of axisymmetric electrocapillary waves in the weakly nonlinear regime.
- To identify conditions for the formation of solitary waves on liquid jets.
Main Methods:
- Analysis of wave propagation on a perfectly conducting inviscid liquid jet within a cylindrical tube.
- Development of a weakly nonlinear theory for long waves.
- Derivation of the Kortweg-de Vries equation with variable coefficients.
Main Results:
- Long waves on the jet are dispersive under specific conditions (electrode radius, electric field strength).
- The Kortweg-de Vries equation governs wave evolution, with coefficients dependent on electric field and electrode radius.
- Solitary electrocapillary waves (elevation or depression) are possible due to sign changes in the nonlinear term coefficient.
Conclusions:
- Weakly nonlinear theory is applicable for long electrocapillary waves under specific conditions.
- The study identifies parameter regions supporting solitary wave formation.
- Findings contribute to understanding nonlinear wave phenomena in electrohydrodynamics.
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