Rayleigh-Benard Convection in a Dusty Newtonian Nanofluid With and Without Coriolis Force

Theoretical investigation of the Rayleigh-Benard convection (TRBC) in nanofluid (NF) submerged with dust particles is carried out. Convection in dusty nanofluid is considered between two horizontal free boundaries. Effect of nanoparticles shape is also accounted. The Saffmans' dusty fluid model is used to simulate the influence of dust particles, whereas the KVL (Khanafer-Vafai-Lightstone) model is employed to estimate the effective nanofluid properties. The fluid, dust particles and nanoparticles are in the thermal equilibrium state and move with the same velocity. The exact solutions are obtained using Normal Mode Analysis (NMA) method for two different cases namely (1) TRBC in dusty nanofluid (DNF) without Coriolis force (2) TRBC in DNF with Coriolis force. It is established that for the stationary convection, the effect of suspended particles hasten the onset of convection whereas the Coriolis force postpones the onset of convection.