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TOWARDS MORE EFFICIENT DRUG DELIVERY: BLOOD FLOW IN STENOTIC ARTERIES SUBJECTED TO A STRONG NON-UNIFORM MAGNETIC FIELD

Sasa Kenjeres
Transport Phenomena Section, Department of Chemical Engineering, Faculty of Applied Sciences, Delft University of Technology and J.M. Burgerscentrum for Fluid Mechanics, Delft, The Netherlands

Abstract

The paper reports on a comprehensive mathematical model for simulations of blood-flow under presence of non-uniform magnetic fields. The model consists of from set of Navier-Stokes equations extended with both Lorentz and magnetization forces including a simplified set of Maxwell's equations (Ampere's law) for predictions of imposed magnetic fields. An extensive literature survey is performed in order to find all relevant hydrodynamic and electro-magnetic properties of human blood. The model is then extensively tested for a range of test cases ranging from a simple cylindrical geometries to realistic right-coronary arteries in humans. Both, a time-dependency of the wall-shear-stress for different stenosis growth rates as well as effects of an imposed non-uniform magnetic fields on the blood flow pattern are presented and analyzed. It is concluded that an imposed non-uniform magnetic field can create significant changes in the secondary flow patterns thus making it possible to use this technique for optimized targeted drug delivery.