OICC Press International Journal of Energy and Environmental Engineering 2251-6832 14 4 (December 2023) 2022 11 08 Using active/passive methods to control of MHD conjugate heat transfer of power-law fluids: a numerical entropy analysis by LBM 10.1007/s40095-022-00545-x EN Mohammad Nemati Faculty of Mechanical Engineering, Yazd University, Yazd, IR Mohammad Sefid Faculty of Mechanical Engineering, Yazd University, Yazd, IR Journal Article 2022 11 08 Abstract Trying to understand to what extent active methods (the angle of placement chamber + the change of temperature of the barrier included inside the chamber) and passive methods (the application of MF + HAP) can be used in controlling and managing EP regarding to HT of non-Newtonian FF has been one of the goals of this numerical study. Since in this study, in addition to convection process, heat conduction in the solid is also considered, in addition to Ha, PL index, Ra, HAPC, TMF, the barrier temperature and the chamber inclination angle, TCR is presumed as the controller variable. The utmost momentous obtained outcomes are as follows: (A) On average, a decrease of up to 38% in the flow power and a decrease of up to 45% in HT amount are the result of an augmentation of in the value of Ha and PL index. (B) The impact of exerting MF becomes more noticeable with diminish in PL index. Augmentation of Ha to the highest value causes decline in the mean Nu by about 52% and 18% for n  = 0.75 and n  = 1.25, respectively. (C) To achieve a flow with higher power and higher the mean Nu, MF can be used non-uniformly, especially TMF1. The more noticeable influence of changing TMF is the result of augmentation of the amount of Ha. The influence of the change in TMF to the shear thickening fluid is lowest. (D) As TCR increases, the maximum mean Nu is acquired, in which case the impact of increasing Ha and the HAPC becomes more pronounced. (E) The minimum amount of HT, current power and MF influence is obtained when the chamber is at an angle of + 90°, in which case the mean Nu is up to about 75% less than the zero angle. (F) Although enhancement of HAPC reduces the mean Nu, it nevertheless increases the flow power and influence of MF on EP. In the case of heat production, the increment of in EP is the result of the enhancement of in Ha, unlike in other cases. (G) EP and current vigor increase by placing the barrier at hot temperature while the mean Nu diminishes. The contribution of MF in EP increases with enhancement of block temperature. (H) Be value increases with increment of HAPC, augmentation of Ha and decrement of TCR, and maximum Be value is obtained at an angle of + 90°.