Abonnement à la biblothèque: Guest
Portail numérique Bibliothèque numérique eBooks Revues Références et comptes rendus Collections
Journal of Porous Media
Facteur d'impact: 1.49 Facteur d'impact sur 5 ans: 1.159 SJR: 0.43 SNIP: 0.671 CiteScore™: 1.58

ISSN Imprimer: 1091-028X
ISSN En ligne: 1934-0508

Volumes:
Volume 23, 2020 Volume 22, 2019 Volume 21, 2018 Volume 20, 2017 Volume 19, 2016 Volume 18, 2015 Volume 17, 2014 Volume 16, 2013 Volume 15, 2012 Volume 14, 2011 Volume 13, 2010 Volume 12, 2009 Volume 11, 2008 Volume 10, 2007 Volume 9, 2006 Volume 8, 2005 Volume 7, 2004 Volume 6, 2003 Volume 5, 2002 Volume 4, 2001 Volume 3, 2000 Volume 2, 1999 Volume 1, 1998

Journal of Porous Media

DOI: 10.1615/JPorMedia.v12.i12.30
pages 1153-1179

Nonlinear Instability of Two Superposed Electrified Bounded Fluids Streaming Through Porous Medium in (2 + 1) Dimensions

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
G. M. Moatimid
Department of Mathematics, Faculty of Education, Ain Shams University, Heliopolis, Roxy, Cairo, Egypt
T. M. N. Metwaly
Department of Mathematics, Faculty of Education, Ain Shams University, Heliopolis, Roxy, Cairo, Egypt

RÉSUMÉ

Nonlinear electrohydrodynamic stability of two superposed dielectric bounded fluids streaming through porous media in the presence of a horizontal electric field is investigated in three dimensions. The method of multiple scales is used to obtain a dispersion relation for the linear problem and a Ginzburg-Landau equation for the nonlinear one, describing the behavior of the system. The stability of the system is discussed both analytically and numerically, and the stability conditions are obtained. It is found, in the linear case, that the stability criterion is independent of the permeability of the medium and that the fluid viscosities, velocities, depths, and the dimension have destabilizing effects, while the porosity of porous medium, electric field, and surface tension have stabilizing influences on the system. In the nonlinear case, using the obtained stability conditions, the effects of all physical parameters included in the analysis on the stability of the system are discussed in detail for both two- and three-dimensional disturbances cases, respectively. The system has been found to be usually unstable if the fluids are pure for both cases. It is found also that the dimension has a dual role (stabilizing as well as destabilizing) on the considered porous system, whereas it has a destabilizing effect if the medium is nonporous.