Investigation of non-Newtonian power-law free convection affected by a magnetic field in an inclined quarter-circle chamber containing the lozenge-shaped obstacle via MRT-LBM of first and second laws of thermodynamics

Abstract

Investigating the effect of the strength, type and angle of the magnetic field applied on the amount of entropy generation caused by the heat transfer of non-Newtonian fluid under the inflyence of heat production/absorption is the aim of the available study. The simulation has been done by writing the FORTRAN code using Multi relaxation time lattice Boltzmann method. Qualitative and quantitative comparison of the present work with preceding valid researches confirmed the accurateness of the outcomes. The magnetic field influence can be controlled by the angle of rotation of the chamber, and this impact decreases with power-law index enhancement. In general, application of a non-uniform magnetic field increases the mean Nusselt number by about 10% and leads to an increase in flow strength. The outcomes reveal that the impact of the angle of inclination chamber, type and direction of magnetic field application for dilatant fluid is insignificant. Increasing the coefficient of the heat absorption/production lessens the mean Nusselt number but increases the impact of the magnetic field. Enhancement of the barrier temperature and decreasing index of power-law results in an increment in the share of entropy generated by the magnetic field.