Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

Formation of Regions with High Energy and Pressure Gradients at the Free Surface of Liquid Dielectric in a Tangential Electric Field

Formation of Regions with High Energy and Pressure Gradients at the Free Surface of Liquid... The nonlinear dynamics of the free surface of an ideal incompressible non-conducting fluid with a high dielectric constant subjected to a strong horizontal electric field is simulated using the method of conformal transformations. It is shown that in the initial stage of interaction of counter-propagating periodic waves of significant amplitude, there is a direct energy cascade leading to energy transfer to small scales. This results in the formation of regions with a steep wave front at the fluid surface, in which the dynamic pressure and the pressure exerted by the electric field undergo a discontinuity. It has been demonstrated that the formation of regions with high gradients of the electric field and fluid velocity is accompanied by breaking of surface waves; the boundary inclination angle tends to 90◦, and the surface curvature increases without bound. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Applied Mechanics and Technical Physics Springer Journals

Formation of Regions with High Energy and Pressure Gradients at the Free Surface of Liquid Dielectric in a Tangential Electric Field

Loading next page...
 
/lp/springer-journals/formation-of-regions-with-high-energy-and-pressure-gradients-at-the-MSKmcOHFch

References (20)

Publisher
Springer Journals
Copyright
Copyright © 2018 by Pleiades Publishing, Ltd.
Subject
Physics; Classical Mechanics; Fluid- and Aerodynamics; Classical and Continuum Physics; Applications of Mathematics; Mathematical Modeling and Industrial Mathematics; Mechanical Engineering
ISSN
0021-8944
eISSN
1573-8620
DOI
10.1134/S0021894418010108
Publisher site
See Article on Publisher Site

Abstract

The nonlinear dynamics of the free surface of an ideal incompressible non-conducting fluid with a high dielectric constant subjected to a strong horizontal electric field is simulated using the method of conformal transformations. It is shown that in the initial stage of interaction of counter-propagating periodic waves of significant amplitude, there is a direct energy cascade leading to energy transfer to small scales. This results in the formation of regions with a steep wave front at the fluid surface, in which the dynamic pressure and the pressure exerted by the electric field undergo a discontinuity. It has been demonstrated that the formation of regions with high gradients of the electric field and fluid velocity is accompanied by breaking of surface waves; the boundary inclination angle tends to 90◦, and the surface curvature increases without bound.

Journal

Journal of Applied Mechanics and Technical PhysicsSpringer Journals

Published: Mar 23, 2018

There are no references for this article.