“…In addition to developing new MCMs [ 4 , 5 ], scholars and scientists have made great efforts to improve magnetic refrigerator performance from various aspects, such as efficient magnets [ 6 , 7 , 8 ], advanced refrigeration cycles [ 9 , 10 ], heat transfer enhancement [ 11 , 12 , 13 , 14 , 15 ], smart mechanical design [ 16 , 17 , 18 , 19 , 20 ], and optimal control [ 21 , 22 ]. On the other hand, in addition to building prototypes for experiments [ 23 , 24 ], various 1D and 2D numerical models, based on solving the energy conservation equations of fluid and solid MCMs, have been developed for the research of magnetic refrigeration [ 2 , 10 , 11 , 12 , 13 , 14 , 15 , 25 , 26 ], and Nielsen et al have made a review on the AMR modeling [ 27 ]. In these models the magnetic refrigeration fundamental was studied [ 10 , 12 ] and the effects of structural and operational parameters on performance aspects, such as temperature span, refrigeration capacity, and Coefficient of Performance (COP), were studied for optimization [ 28 , 29 , 30 ].…”