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Journal of Porous Media
インパクトファクター: 1.49 5年インパクトファクター: 1.159 SJR: 0.504 SNIP: 0.671 CiteScore™: 1.58

ISSN 印刷: 1091-028X
ISSN オンライン: 1934-0508

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Journal of Porous Media

DOI: 10.1615/JPorMedia.v17.i5.30
pages 405-420

NONLINEAR ELECTROVISCOUS POTENTIAL FLOW INSTABILITY OF TWO SUPERPOSED COUPLE-STRESS FLUIDS STREAMING THROUGH POROUS MEDIUM

Mohamed F. El-Sayed
Department of Mathematics, Faculty of Education, Ain Shams University, Heliopolis (Roxy), Cairo, Egypt; Department of Mathematics, College of Science, Qassim University, P. O. Box 6644, Buraidah 51452, Saudi Arabia
Nabil T. M. Eldabe
Department of Mathematics, Faculty of Education, Ain Shams University, Heliopolis, Cairo, Egypt
Mohamed H. Haroun
Department of Mathematics, Faculty of Education, Ain Shams University, Heliopolis, Roxy, Cairo, Egypt
D. M. Mostafa
Department of Mathematics, Faculty of Education, Ain Shams University, Heliopolis, Roxy, Cairo, Egypt

要約

Nonlinear Kelvin−Helmholtz instability of two supersposed couple-stress fluids saturating a porous medium in the presence of normal electric fields when there are no surface charges at the interface is investigated in three dimensions via the viscous potential flow analysis. The multiple time scales method is used to obtain a dispersion relation for the linear problem and a Ginzburg−Landau equation with complex coefficients for the nonlinear problem, describing the behavior of the system. The stability conditions are obtained and discused both analytically and numerically in both linear and nonlinear cases in two- and three-dimensional disturbances. It is found, in the linear case, that the surface tension, porosity of the porous medium, kinematic viscosities, and kinematic viscoelasticities have stabilizing effects, while the fluid velocities and applied electric fields have destabilizing effects. In the nonlinear analysis, it is found that the medium permeability, porosity of porous medium, and surface tension have destabilizing effects, while the fluid velocities, electric fields, and kinematic viscoelasticities have stabilizing effects, and the kinematic viscosities have slightly stabilizing effects only after a critical wavenumber value. The stability of the system has been compared in two- and three-dimensional disturbances.


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