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Content available Triple-diffusive convection in Walters' (Model B') fluid with varying gravity field saturating a porous medium
Kango S. K., Rana G. C., Chand R.
Studia Geotechnica et Mechanica
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2013
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Vol. 35, nr 3
45--56
EN
The Triple-Diffusive convection in Walters’ (Model B') 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.
2
Content available remote Thermosolutal convection in Rivlin-Ericksen fluid in the presence of Hall currents in a porous medium in hydromagnetics
Kango S. K., Singh V.
International Journal of Applied Mechanics and Engineering
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2012
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Vol. 17, no. 1
71-82
EN
The thermosolutal instability of a layer of a Rivlin-Ericksen elastico-viscous fluid is considered in the presence of a uniform horizontal magnetic field to include the Hall currents in a porous medium. For the case of stationary convection, the Hall currents hasten the onset of convection, the magnetic field postpones the onset of convection, medium permeability also postpones the onset of convection in the presence of the Hall currents, whereas the kinematic viscoelasticity has no effect on the onset of convection. The Hall currents, kinematic viscoelasticity, magnetic field, medium permeability and the solute parameter introduce oscillatory modes in the system, which were non-existent in their absence. The case of overstability is also considered wherein the sufficient conditions for the non-existence of overstability are obtained.
3
Content available remote Stability of incompressible Rivlin-Ericksen elastico-viscous superposed fluid in porous medium
Rana G. C., Sharma V., Kango S. K.
International Journal of Applied Mechanics and Engineering
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2012
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Vol. 17, no. 2
471-480
EN
The stability of a Rivlin-Ericksen elastico-viscous superposed fluid in a porous medium is considered. The system is found to be stable/unstable for bottom heavy / top heavy configurations density wise as in a Newtonian viscous fluid. For an exponential varying density, viscosity, viscoelasticity, medium porosity and medium permeability, the system is found to be stable for all wave numbers for becomes stable stratifications and unstable for the unstable stratifications. The behavior of growth with respect to fluid kinematic viscosity, viscoelasticity, medium porosity and medium permeability is examined analytically and graphically.
4
Content available remote Stability of stratified elastico-viscous Rivlin-Ericksen rotating fluid in the presence of uniform horizontal magnetic field in porous medium
Kango S. K., Singh V.
Studia Geotechnica et Mechanica
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2011
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Vol. 33, nr 3
33-40
EN
The stability of stratified elastico-viscous Rivlin-Ericksen fluid in the presence of horizontal magnetic field and rotation in porous medium is considered. In contrast to the Newtonian fluids, the system is found to be unstable at stable stratification for low values of permeability or high values of kinematic viscoelasticity. Magnetic field is found to stabilize the small wavelength perturbations for unstable stratification. It has been found that the growth rate increases with the increase in kinematic viscosity and permeability, whereas it decreases with the increase in kinematic viscoelasticity.
5
Stability of two superposed Walters? B'viscoelastic fluids in the presence of suspended particles and variable magnetic field in porous medium
Sharma R. C., Kango S. K.
Applied Mechanics and Engineering
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1999
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Vol. 4, no 2
255-269
EN
The instability of plane interface between two superposed Walters' B' elastico-viscous fluids in porous medium has been studied to include the effects of suspended (dust) particles. It is found that the system is stable or unstable if the kinematic viscoelasticity (assumed equal for both fluids) is less than or greater than the medium permeability divided by medium porosity, for the potentially stable arrangement whereas the system is unstable for the potentially unstable arrangement. This problem has also been studied for electrically conducting Walters' fluid in the presence of a variable horizontal magnetic field. For a potentially stable case, the results are the same as in a hydrodynamic case. However, for a potentially unstable case, the magnetic field has got stabilizing effect and completely stabilizes certain wave-number band if kinematic viscoelasticity is less than the medium permeability divided by medium porosity.
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