Electrohydrodynamic Instability of Two Thin Viscous Leaky Dielectric Fluid Films in a Porous Medium
Joint Authors
El-Sayed, M. F.
Hafez, N. M.
Hassan, A. A. A.
Moussa, M. H. M.
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-35, 35 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-08-24
Country of Publication
Egypt
No. of Pages
35
Main Subjects
Abstract EN
The effect of an applied electric field on the stability of the interface between two thin viscous leaky dielectric fluid films in porous medium is analyzed in the long-wave limit.
A systematic asymptotic expansion is employed to derive coupled nonlinear evolution equations of the interface and interfacial free charge distribution.
The linearized stability of these equations is determined and the effects of various parameters are examined in detail.
For perfect-perfect dielectrics, the various parameters affect only for small wavenumber values.
For dielectrics, the various parameters affect only for small wavenumber values.
For effect for small wavenumbers, and a stabilizing effect afterwards, and for high wavenumber values for the other physical parameters, new regions of stability or instability appear.
For leaky-leaky dielectrics, the conductivity of upper fluid has a destabilizing effect for small or high wavenumbers, while it has a dual role on the stability of the system in a wavenumber range between them.
The effects of all other physical parameters behave in the same manner as in the case of perfect-leaky dielectrics, except that in the later case, the stability or instability regions occur more faster than the corresponding case of leaky-leaky dielectrics.
American Psychological Association (APA)
El-Sayed, M. F.& Moussa, M. H. M.& Hassan, A. A. A.& Hafez, N. M.. 2011. Electrohydrodynamic Instability of Two Thin Viscous Leaky Dielectric Fluid Films in a Porous Medium. ISRN Applied Mathematics،Vol. 2011, no. 2011, pp.1-35.
https://search.emarefa.net/detail/BIM-476528
Modern Language Association (MLA)
El-Sayed, M. F.…[et al.]. Electrohydrodynamic Instability of Two Thin Viscous Leaky Dielectric Fluid Films in a Porous Medium. ISRN Applied Mathematics No. 2011 (2011), pp.1-35.
https://search.emarefa.net/detail/BIM-476528
American Medical Association (AMA)
El-Sayed, M. F.& Moussa, M. H. M.& Hassan, A. A. A.& Hafez, N. M.. Electrohydrodynamic Instability of Two Thin Viscous Leaky Dielectric Fluid Films in a Porous Medium. ISRN Applied Mathematics. 2011. Vol. 2011, no. 2011, pp.1-35.
https://search.emarefa.net/detail/BIM-476528
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-476528