Magnetic field effect on heat and mass transfer of mixed convection of shear-thinning fluids in a lid-driven enclosure with non-uniform boundary conditions

• Heat transfer drops with the augmentation of power-law index at Ha = 0.
• The magnetic field decreases heat transfer in different power-law indexes.
• The effect of the power-law index declines with the rise of Hartmann number.

In this paper, the effect of a magnetic field on mixed convection of shear-thinning fluids in a square lid-driven cavity with sinusoidal boundary conditions 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), Hartmann number (Ha = 0–100), Lewis number (Le = 5 and 50), power-law index (n = 0.2–1) as the buoyancy ratio is studied from N = −10 to 10. Results indicate that the augmentation of Richardson number causes heat and mass transfer to drop. The enhancement of Hartmann number declines heat and mass transfer for multifarious buoyancy ratios and power-law indexes steadily at Ri = 0.00062 and 0.01. The fall of the power law index declines heat and mass transfer at Ri = 0.00062 and 0.01 for various Hartmann numbers and buoyancy ratios. The increase in power-law index and Hartmann number influence heat and mass transfer differently at Ri = 1 for various buoyancy ratios and Lewis numbers. The growth of Lewis number enhances mass transfer for the studied Hartmann numbers and buoyancy ratios.