Nonlinear waves on the surface of a dielectric liquid in a strong tangential electric field

Details Nonlinear waves on the surface of a dielectric liquid in a strong tangential electric field Nonlinear waves on the surface of a dielectric liquid in a strong tangential electric field

2004-10-15

arxiv.org/abs/physics/0410097v2

Phys. Lett. A 333, 284-288 (2004)

Physics

Fluid Dynamics

10 pages. accepted to Phys. Lett. A

Scientific paper

10.1016/j.physleta.2004.10.058

The nonlinear dynamics of the free surface of an ideal dielectric liquid in a strong electric field is studied. The equation for the evolution of surface electrohydrodynamic waves is derived in the approximation of small surface-slope angles. It is established that the equation can be solved for liquids with sufficiently high values of the permittivity. This makes it possible to describe the interaction of the counter-propagating waves.

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