Lattice Boltzmann method’s ability to calculate entropy during MHD non-Newtonian ferrofluid-free convection under volumetric radiation and heat generation/absorption

The capability of LBM in the determination of entropy during power-law ferrofluid-free convection in the presence of effective factors is depicted in this research. Uniform absorption/production of heat and magnetic field in different types/angles affects the current inside a 2D chamber. Evaluation of the influence of thermal radiation through modeling with three separate distribution functions on the characteristics of the flow within the chamber with variable aspect ratio under various internal and external factors is among the features of this research, which has not been inquired so far. Application in the design of electronic coolers and solar collectors is one of the practical cases of this numerical evaluation. According to the results, the improvement in heat transfer due to the imposition of radiation on the system is more evident for fluid with higher viscosity. The enhancement of the power-law coefficient, further reducing the average Nusselt number value, diminishes the effectiveness of the magnetic field in reducing the entropy and the heat transfer rate. It is possible to achieve the current strength and the mean Nusselt value up to 40