This paper deals with the convection of micropolar fluids
heated and soluted from below in the presence of suspended particles (fine
dust) and uniform vertical rotation and uniform vertical magnetic field in a
porous medium. Using the Boussinesq approximation, the linearized stability
theory and normal mode analysis, the exact solutions are obtained for the case
of two free boundaries. It is found that the presence of the suspended
particles number density, the rotation parameter, stable solute, magnetic field
intensity and medium permeability bring oscillatory modes which were
non–existent in their absence. It is found that the presence of coupling
between thermal and micropolar effects, rotation parameter, solute parameter
and suspended particles may introduce overstability in the system. Graphs have
been plotted by giving numerical values to the parameters accounting for
rotation parameter, magnetic field solute parameter, the dynamic microrotation
viscosity and coefficient of angular viscosity to depict the stability
characteristics, for both the cases of stationary convection and overstability.
It is found that Rayleigh number for the case of overstability and stationary
convection increases with increase in rotation parameter, as well as with
magnetic field intensity, solute parameter and decreases with increase in
micropolar coefficients and medium permeability, for a fixed wave number,
implying thereby the stabilizing effect of rotation parameter, magnetic field
intensity ,solute parameter and destabilizing effect of micropolar coefficients
and medium permeability on the thermosolutal convection of micropolar fluids.
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Keywords: Micropolar fluid, rotation parameter, suspended
particles (fine dust), microrotation, magnetic field intensity, solute
parameter, medium permeability, coefficient of angular viscosity