Abstract
Among other applications, Magnetic nanoparticles (MNPs) are used as drug carriers for guided drug delivery purposes. The aim of the current study is to numerically investigate the effect of non-uniform magnetic field on the blood flow and MNPs concentration inside a vessel. The coupled governing equations under the influence of non-uniform magnetic field are utilized and non-dimensionalized. Two dimensionless parameters, Magnetic force number (MFN) and Magnetic drift number (MDN), are introduced and their effects on the blood flow velocity and the MNPs concentration are studied. The results show for the same magnetic force number, the MNPs concentration on the vessel wall increases as the magnetic drift number increases. While under the same magnetic drift number, magnetic nanoparticles decreases as magnetic force number increases. This implies that the MNPs concentration at the entrance is low while MNPs radius is large. In addition, the greater the magnetic force and the magnetic drift numbers is the higher the deformation of streamlines becomes.
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