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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

2013

Vol. 35, nr 3

45--56

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.

Rayleigh-Taylor instability of Walters' B' elastico-viscous fluid trough porous medium

Sharma R. C., Kumar P., Sharma S.

International Journal of Applied Mechanics and Engineering

2002

Vol. 7, no 2

433-444

Rayleigh-Taylor instability of Walters' B' elastico-viscous fluid through a porous medium is considered. For the stable configuration, the system is found to be stable or unstable if the kinematic viscoelasticity (assumed equal for both fluids) is less than or greater than the medium permeability divided by the medium porosity. However, the system is found to be unstable for the potentially unstable configuration. The effects of a uniform horizontal magnetic field and a uniform rotation on the problem are considered separately.