Thermosolutal convection in a viscoelastic dusty fluid with hall currents in porous medium

• The effect of dust particle and magnetic field on the Oldroydian fluid is studied.
• The effect of hall current has also been taken into the analysis.
• The Brinkman model has been employed to study the porous medium.
• Medium permeability plays dual effect on the thermosolutal convection.
• Hall current has destabilizing effect.

An incompressible Oldroydian viscoelastic fluid layer heated and soluted from below in the presence of suspended (dust) particles and uniform vertical magnetic field to include the effect of Hall currents in porous medium is considered. Following the linearized stability theory and normal mode analysis, the dispersion relation is obtained. For the case of stationary convection, Oldroydian viscoelastic fluid behaves like an ordinary Newtonian fluid. Dust particles and Hall currents are found to have a destabilizing effect on the thermosolutal convection, whereas magnetic field is found to have a stabilizing effect on the thermosolutal convection. Medium permeability has both stabilizing and destabilizing effect on the thermosolutal convection under certain conditions. Graphs have been plotted by giving numerical values to the parameters to depict the stability characteristics. The case of overstability is also considered.