Double-diffusive mixed convection of pseudoplastic fluids in a two sided lid-driven cavity using FDLBM

Abstract

In this paper, mixed convection of shear-thinning fluids in a two sided square lid-driven cavity under the combined buoyancy effects of thermal and mass diffusion has been analyzed by Finite Difference Lattice Boltzmann method (FDLBM). This study has been conducted for the certain pertinent parameters of Richardson number (Ri=0.00062–1), Lewis number (Le=5 and 10), power-law index (n=0.2–1) as the buoyancy ratio is studied from N=−20 to 20. It should be mentioned the Reynolds number has been studied at Re=10, 100 and 400 as the thermal Grashof number is fixed at GrT=100. Results indicate that the augmentation of Richardson number decreases heat and mass transfer. The fall of the power law index declines heat and mass transfer at Ri=0.00062 and 0.01. At Ri=1, the heat and mass transfer rises with the drop of power-law index for buoyancy ratios of N=−20 and 20.The least effect of power-law index on heat and mass transfer among the studied Richardson numbers was observed at Ri=1 for N=1.The growth of Lewis number enhances the mass transfer for different buoyancy ratios as it declines the effect of power-law index on the mass transfer at N=20 and −20.