CONVECTING THRESHOLD IN NANOFLUID DRIVEN BY CENTRIFUGAL FORCES IN A ROTATING ANNULAR HELE-SHAW

The onset of convection in nanofluid confined within a rotating Hele-Shaw cell is studied by using a linear stability analysis. The model for our nanofluid combines the effects of Brownian motion and thermophoresis where the gravitation is negligible and the convection is driven by centrifugal forces. The linear stability equations are solved numerically to find the critical values of the Rayleigh and wave numbers. The analysis reveals that the curvature parameter and the Eckman number delay the onset of convection, while the nanoparticle concentration Rayleigh number, Lewis number and modified diffusivity ratio hasten the onset of convection.