“…In the numerical study, the magnetization curve (Chen et al, 2007, 2008; Khoo and Liu, 2001; Wu et al, 2017; Xu et al, 2011), Mooney–Rivlin model (Sun et al, 2014), and Carreau model (Kutev et al, 2015) are employed to characterize the magnetism of the MRE, the constitutive equations of the MRE, and the rate-dependent viscosity of the conveying fluids (a solution of linear polystyrene in 1-chloronaphthalene), respectively. The fluid transport performance of the MRE-PFCS is decided on the interaction among the generated fluid pressure, viscous force, and the deformation of the inner walls of the MRE tube.…”