2018
DOI: 10.1155/2018/6246917
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Investigation of Magnetic Nanoparticle Motion under a Gradient Magnetic Field by an Electromagnet

Abstract: Finite element numerical simulations were carried out in 2D geometry to calculate the magnetic force on magnetic nanoparticles under a specially fabricated electromagnet. The particle motion was modeled by a system of ordinary differential equations. The snapshots of trajectories of 4000 MNPs with and without magnetic field were analyzed and qualitatively found to be in agreement with camera visualizations of MNP movement in a container. The results of the analysis could be helpful for the design of electromag… Show more

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Cited by 25 publications
(12 citation statements)
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“…4 H. The motion of an individual MC-CF@PEM-RGD on the x–y surface is mainly manipulated by the magnetic force ( F m ) and drag force ( F d ) of the surrounding fluid. F m is usually calculated using Equations (2a) , (2b) , (3) ) [ 37 , 38 ], while F d is calculated using Equation (4) [ 39 ]: where m , B , V m , μ 0 , and μ are the magnetic moment, magnetic flux density, volume of magnetic material, magnetic permeability, and magnetic permeability of the material, respectively. In addition, R c and v c are the radius and velocity of the colloidosomes, and η and v blood are the viscosity and velocity of blood, respectively.…”
Section: Resultsmentioning
confidence: 99%
“…4 H. The motion of an individual MC-CF@PEM-RGD on the x–y surface is mainly manipulated by the magnetic force ( F m ) and drag force ( F d ) of the surrounding fluid. F m is usually calculated using Equations (2a) , (2b) , (3) ) [ 37 , 38 ], while F d is calculated using Equation (4) [ 39 ]: where m , B , V m , μ 0 , and μ are the magnetic moment, magnetic flux density, volume of magnetic material, magnetic permeability, and magnetic permeability of the material, respectively. In addition, R c and v c are the radius and velocity of the colloidosomes, and η and v blood are the viscosity and velocity of blood, respectively.…”
Section: Resultsmentioning
confidence: 99%
“…The magnitude of the magnetic force is where is the magnetic permeability of free space, is the particles’ volume, is the magnetic susceptibility, and is the applied magnetic field. MNP’s motion under magnetic field and viscous fluid can be illustrated by using Newton’s law [ 70 ]: …”
Section: Resultsmentioning
confidence: 99%
“…Simple calculations show that this is true, and that it is considered acceptable to neglect the small τ. This same assumption was also used in a similar research [20].…”
Section: Characteristic Time and Terminal Velocitymentioning
confidence: 94%