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Effect of rotation and suspended particles on the stability of an incompressible Walters�f (model B�Ś) fluid hated from below under a variable gravity field in a porous medium

Rana G. C., Kumar S.

Engineering Transactions

2012

Vol. 60, iss. 1

55-68

The effect of rotation and suspended particles on the stability of an incompressible Walters�f (model B�Ś) fluid heated from below under a variable gravity field in a porous medium is considered. By applying a normal mode analysis method, the dispersion relation has been derived and solved numerically. It is observed that the rotation, gravity field, suspended par- ticles, and viscoelasticity introduce oscillatory modes. For stationary convection, the rotation has a stabilizing effect and suspended particles are found to have a destabilizing effect on the system, whereas the medium permeability has a stabilizing or destabilizing effect on the system under certain conditions. The effect of rotation, suspended particles, and medium permeability has also been shown graphically.

Thermosolutal instability of Walters' (model b') rotating fluid with vertical magnetic and varying gravity field in a porous medium

Sharma V., Sharma S.

International Journal of Applied Mechanics and Engineering

2001

Vol. 6, no 3

591-611

The thermosolutal instability of Walters' (model B') elastico-viscous rotating fluid in a porous medium is considered in the presence of a uniform magnetic field and varying gravity field. For the case of stationary convection, the solute parameter delays the onset of convection. The system is stable or unstable as gravity increases or decreases in the presence of rotation and magnetic field stabilizes the system for TA1 < [(1+x0)+PQ1]2 [(1+x0)P2] as gravity increases or decreases. The porous medium permeability is also found to stabilize the system under certain conditions in the presence of rotation and magnetic field; whereas the kinematic viscoelasticity has no effect on the onset of convection. The magnetic field, rotation, porous medium permeability, kinematic viscoelasticity, the solute parameter and varying gravity field 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. The variation of the Rayleigh number with respect to the solute parameter, rotation, magnetic field and porous medium permeability for the stationary convection is also shown graphically.