Nonlinear electrohydrodynamic instability of capillary- gravity waves under the influence of a perpendicular field

Abdel Raouf F. Elhefnawy

Physica A: Statistical Mechanics and its Applications, 1994, vol. 207, issue 4, 561-573

Abstract: The nonlinear electrohydrodynamic stability of capillary-gravity waves on the surface of a dielectric fluid of finite depth is investigated. The system is stressed by a perpendicular electric field in the absence of surface charges. The method of multiple scale perturbations is used in order to obtain a nonlinear Schrödinger equation describing the behaviour of the perturbed system. The latter equation for the complex amplitude of a quasi-monochromatic travelling wave is used to describe the necessary condition for stability and instability for the system. The stability and instability conditions of the perturbed system are discussed both analytically and numerically and the stability diagrams are obtained. Regions of stability and instability are identified.

Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:207:y:1994:i:4:p:561-573

DOI: 10.1016/0378-4371(94)90210-0

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