Open Access
Subscription Access
Open Access
Subscription Access
Triple-Diffusive Convection in Rivlin-Ericksen Fluid under varying gravity field in Porous Medium
Subscribe/Renew Journal
The Triple-Diffusive convection in Rivlin-Ericksen fluid with varying gravity field is considered in the presence of uniform vertical magnetic field in porous medium. For the case of stationary convection, the magnetic field, varying gravity field and the stable solute gradients have stabilizing effects whereas the medium permeability has destabilizing (or stabilizing) effect on the system under certain conditions. A linear stability analysis theory and normal mode analysis method have been carried out to study the onset convection. The kinematic viscoelasticity has no effect on the stationary convection. The solute gradients, magnetic field, varying gravity field, porosity and kinematic viscoelasticity introduce oscillatory modes in the system, which were non-existent in their absence. The sufficient conditions for the non-existence of overstability are also obtained. The results are also shown graphically.
Keywords
Triple-Diffusive Convection, Rivlin-Ericksen Fluid, Solute Gradients, Vertical Magnetic Field, Varying Gravity Field, Porous Medium.
Subscription
Login to verify subscription
User
Font Size
Information
- A. J. Pearlstein, R. M. Harris and G. Terrones, The onset of convective instability in triply diffusive fluid layer, J. Fluid Mech., 1989, 202, 443-465.
- B. D. Straughan and W. Walker, Multi component diffusion and penetrative Convection, Fluid Dynamics Research, 1997, 19, 77-89.
- C. Oldenberg and K. Pruess, Layered thermohaline convection in hypersaline geothermal systems, Transport in Porous Media, 1998, 33, 29-63.
- D. A. Nield and A.Bejan, Convection in porous medium, New York, Springer, 1992.
- E. A. Spiegel, Convective instability in a compressible atmosphere, Astrophys. J., 1965, 141, 1068.
- G. K. Pradhan, P. C. Samal and U.K.Tripathi, Thermal instability of the fluid layer under variable gravitational field, J. Math., 1989, 20,736.
- G. Veronis, Thermohaline convection in a layer of fluid heated from below, J. Marine Res., 1965, 23, 1-17.
- R.S. Rivlin and J.L Ericksen, Stress-deformation relaxations for isotropic Materials, J. Rational Mech. Anal., 1955, 4, 323-329.
- S. Chand, Triple-Diffusive convection in Walters’ (Model B') fluid in porous medium in hydromagnetics, Research J. Engineering and Tech., 2012, 3(2), 140-145.
- S. Chandrasekhar, Hydrodynamic and Hydromagnetic Stability, Dover Publication, NewYork, 1981.
- S. K. Kango, Vikram Singh and G. C. Rana, Thermosolutal instability in Walters’ B' fluid in the presence of Hall Currents in porous medium in Hydromagnetics, Journal of Indian Math. Soc., 2011, 78 (1-4), 65-77.
- Veena Sharma and Kamal Kishor, Hall Effect on Thermosolutal Instability of Rivlin-Ericksen Fluid with Varying Gravity Field in Porous Medium, Indian J. Pure. Appl. Math., 2001, 32(11), 1643-1657.
- Veena Sharma et al., The Onset of Thermal Instability in a triply Diffusive Three Dimensional Fluid Layer in Porous Medium, Research J. Engineering and T
Abstract Views: 876
PDF Views: 0