Gases and Fluids

Nonlinear analysis of a wave motion on the surface of a jet moving in a dielectric medium placed in a longitudinal electric field

A. I. Grigor'ev, S. O. Shiryaeva, N. A. Petrushov, N. A. Polyantsev

P.G. Demidov Yaroslavl State University

Abstract: The possibility of degenerate internal nonlinear resonance interaction between capillary waves with arbitrary symmetry (arbitrary azimuthal numbers) on the surface of a charged cylindrical jet of an ideal incompressible conducting liquid is demonstrated. The jet moves in an ideal incompressible dielectric medium collinearly with an external uniform electrostatic field. It is shown, in particular, that six different resonance situations take place for axisymmetric waves in which primary waves and waves due to the nonlinearity of the equations of hydrodynamics exchange energy.

Received: 05.12.2011

 English version: Technical Physics, 2012, 57:8, 1075–1082

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