Suscripción a Biblioteca: Guest
Portal Digitalde Biblioteca Digital eLibros Revistas Referencias y Libros de Ponencias Colecciones
Special Topics & Reviews in Porous Media: An International Journal
ESCI SJR: 0.259 SNIP: 0.466 CiteScore™: 0.83

ISSN Imprimir: 2151-4798
ISSN En Línea: 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 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

SINOPSIS

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:

MAGNETO-ROTATIONAL CONVECTION FOR FERROMAGNETIC FLUIDS IN THE PRESENCE OF COMPRESSIBILITY AND HEAT SOURCE THROUGH A POROUS MEDIUM
Special Topics & Reviews in Porous Media: An International Journal, Vol.5, 2014, issue 4
Seema Sharma, V. Singh, Kapil Kumar
Double Diffusive Convection in a Rotating Porous Layer with Temperature Modulation on the Boundaries
Journal of Porous Media, Vol.10, 2007, issue 6
Beer S. Bhadauria
Thermosolutal Convection in a Ferromagnetic Fluid Saturating a Porous Medium
Journal of Porous Media, Vol.8, 2005, issue 4
Sunil, R. C. Sharma, Divya
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
HYDRODYNAMIC AND HYDROMAGNETIC TRIPLY DIFFUSIVE CONVECTION IN A VISCOELASTIC FLUID THROUGH POROUS MEDIUM
Special Topics & Reviews in Porous Media: An International Journal, Vol.6, 2015, issue 3
Vivek Kumar, Pardeep Kumar, Mukesh Awasthi