Effect of Rotation and Suspended Particles on the Stability of an Incompressible Walters’ (Model B′) Fluid Heated from Below Under a Variable Gravity Field in a Porous Medium

The effect of rotation and suspended particles on the stability of an incompressible Wal-
ters’ (model B′) 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.