Library Subscription: Guest
Begell Digital Portal Begell Digital Library eBooks Journals References & Proceedings Research Collections
Special Topics & Reviews in Porous Media: An International Journal
ESCI SJR: 0.277 SNIP: 0.52 CiteScore™: 1.3

ISSN Print: 2151-4798
ISSN Online: 2151-562X

Special Topics & Reviews in Porous Media: An International Journal

DOI: 10.1615/SpecialTopicsRevPorousMedia.v1.i1.20
pages 15-29

THERMOHYDRODYNAMIC INSTABILITY OF VISCOUS ROTATING DIELECTRIC FLUID LAYER IN POROUS MEDIUM WITH VERTICAL AC ELECTRIC FIELD

Mohamed El-Sayed
Ph. D.

ABSTRACT

The effects of uniform rotation and porous medium on the onset of convective instability in a dielectric fluid confined between two horizontal planes under the simultaneous action of a vertical ac electric field and a vertical temperature gradient is considered. Applying linear perturbation theory and approximations analogous to the usual Boussinesq approximations, an equation of tenth order is derived. Under appropriate boundary conditions, this equation is solved exactly and the eigenvalue equations for the critical electrical Rayleigh number are obtained for both the cases of exchange of stabilities and overstability, respectively. The corresponding critical wave numbers are also obtained for both cases. It is shown that the medium permeability and Rayleigh number have destabilizing effects on the considered system, where as the porosity of porous medium, Taylor number, and Prandtl number have stabilizing effects. It is found also that, at high values of Taylor number or at any value of Prandtl number, the critical electrical Rayleigh number is independent of the Rayleigh number.


Articles with similar content:

Effect of Magnetic-Field-Dependent Viscosity on a Rotating Ferromagnetic Fluid Heated and Soluted from Below, Saturating a Porous Medium
Journal of Porous Media, Vol.8, 2005, issue 6
Sunil, R. C. Sharma, Divya
Thermosolutal Convection in a Ferromagnetic Fluid Saturating a Porous Medium
Journal of Porous Media, Vol.8, 2005, issue 4
Sunil, R. C. Sharma, Divya
HYDROMAGNETIC INSTABILITY OF A CONTINUOUSLY STRATIFIED FLUID LAYER IN A POROUS MEDIUM WITH A VARIABLE OBLIQUE MAGNETIC FIELD
Special Topics & Reviews in Porous Media: An International Journal, Vol.1, 2010, issue 4
Mohamed El-Sayed, R. A. Mohamed
Effect of Magnetic Field and Rotation on Thermal Convection in Walters B' Viscoelastic Fluid
International Journal of Fluid Mechanics Research, Vol.33, 2006, issue 5
Pardeep Kumar, Roshan Lal
Effect of Gravity Modulation on the Onset of Thermal Convection in Rotating Viscoelastic Fluid and Porous Layer
International Journal of Fluid Mechanics Research, Vol.39, 2012, issue 6
S . N. Gaikwad, Irfana Begum