NDLI: Non-Linear Stability of an Electrified Plane Interface in Porous Media

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Non-Linear Stability of an Electrified Plane Interface in Porous Media

Content Provider	Semantic Scholar
Author	El-Dib, Yusry O. Moatimid, G. M.
Copyright Year	2004
Abstract	The non-linear electrohydrodynamic stability of capillary-gravity waves on theinterface between two semi-infinite dielectric fluids is investigated. The system is stressed by a vertical electric field in the presence of surface charges. The work examines a few representative porous media configurations. The analysis includes Rayleigh-Taylor and Kelvin-Helmholtz instabilities. The boundary – value problem leads to a non-linear equation governing the surface evolution. Taylor theory is adopted to expand this equation, in the light of multiple scales, in order to obtain a non-linear Schr ̈ odinger equation describing the behavior of the perturbed interface. The latter equation, representing the amplitude of the quasi-monochromatic traveling wave, isused to describe the stability criteria. These criteria are discussed both analytically and numerically. In order to identifiy regions of stability and instability, the electric field intensity is plotted versus the wavenumber. Through a linear stability approach it is found that Darcy’s coefficients have a destabilizing influence, while in the non-linear scope these coefficients as well as the electric field intensity play a dual role on the stability.
File Format	PDF HTM / HTML
Alternate Webpage(s)	http://www.znaturforsch.com/aa/v59a/s59a0147.pdf
Alternate Webpage(s)	http://www.znaturforsch.com/aa/v59a/59a0147.pdf
Language	English
Access Restriction	Open
Subject Keyword	Coefficient Dual Electroconvulsive Therapy Entity Name Part Qualifier - adopted Instability Interface Device Component Kelvin Linear equation Liquid substance Monochrome Nonlinear system Numerical analysis Rayleigh–Ritz method Semiconductor industry travel
Content Type	Text
Resource Type	Article

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