In the present study, the capture efficiency (CE) and trajectories of carrier particles in a Y-shaped vessel under the effect of a non-uniform magnetic field are investigated in three dimensions. The magnetic field is produced by a cylindrical Neodymium Iron Boron (NdFeB) magnet located outside the lower branch. Two cases are considered for the magnet: (1) magnet with zero rotation and (2) 90° rotated with double height. Two non-Newtonian models, i.e., Power-law and Carreau, are considered to model blood behavior. The effect of magnetic field intensity, blood velocity, particle diameter, and magnet positioning for all three cases, one Newtonian and two non-Newtonian models, is investigated. Besides, the effect of magnetic field and non-Newtonian models on the wall shear stress (WSS) was investigated. The results showed that increasing the blood velocity and particle diameter resulted in enhanced CE. Also, by increasing the particle diameter from 500nm to 1500nm, the CE for Newtonian, Power-law, and Carreau models enhanced by 74%, 90%, and 81%, respectively. It was found that non-Newtonian behavior and magnetic field would increase the WSS; however, its effect on the WSS can be neglected for low magnetic field intensity. The 90° rotated with double height is the most desirable case for capturing the carrier particles.
