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Magnetic Drug Targeting, Ferrofluidics,Magnetic Drug Targeting: Ferrofluidics,Magnetic Drug Targeting,Ferrofluids (magnetic liquids) as drug carriers Drug targeting applications Localized chemotherapy Less damage to healthy cells Multiphysics: Magntostatics Fluid Flow,This model was provided by Daniel J. Strauss, The Institute for New Materials, Inc., www.inm-gmbh.de,Geometry 2D Approximation,The Math behind the Magnetostatics,Maxwells law for the magnetic field and current (static),Gauss theorem for the magnetic flux density (B-field),Definition of a magnetic vector potential A,Constitutive relation to tie B-H (M is magnetization),Combining the above equations gives, for zero currents,The Math behind the Fluid Flow,Incompressible Navier Stokes equations,The Math behind the Fluid Flow,Incompressible Navier Stokes equations,Magnetic Volume Force for a Ferrofluid: M = magnetization H = magnetic field,The Math behind the Fluid Flow,Magnetic Volume Force for a Ferrofluid x,y, components,Boundary Conditions,Magnetostatics Reasonably far away from the magnet, magnetic insulation is applied: Az=0 Navier Stokes A pulsating inlet velocity simulates the heart beat. No-slip on walls Pressure on outlet,Az=0,Results magnetic field,The magnetic flux density has a maximum near the sharp corners. White areas are excluced from the plot range for clarity. The interesting area is the blood vessel.,Results Velocity Field at max blood throughput (heat beat), t=0.25.,The flow field is clearly distorted by the magnet,Results Velocity Field at zero throughput, t=1,Even though the net flow is zero, we can see agitation in eddies generated by the magnetic field.,Results movie,Results - Conclusions,Certain points near the magnetic disturbances will be exposed to a larger flow rate per unit area, (close to the reddish areas) whereas some parts will get less exposed (blue areas near vessel wall). COMSOL Multiphysics is a good tool to

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