Parallel Performance Analysis and Numerical Simulation of Magnetic Nanoparticles Transportation and Blood Flow Pattern in Capillaries

Abstract

A hybrid CPU-GPU approach is used to investigate the patterns of blood flow and magnetic particles numerically in a capillary under the existence of constant magnetic field. However, the blood flow is considered to be Newtonian, laminar and incompressible in the capillary and magnetic Nanoparticles are assumed as potential agent carrier being used therapeutically for the magnetic targeted drug transport in the fight against diseased cells. The magnetic field is embedded in the muscular volume and is produced by a permanent magnet. The flow field and particles transport dynamics are formulated by a mathematical model and is solved numerically. Finite element discretization gives a big sparse system of equations which needs a higher computation. Therefore, the hybrid approach deals the extensive computations in parallel, as this is a good platform which can decrease the times of solution significantly, if compared to the CPU application. This serves for highly effective search for distinctive mathematical model, along with their distinctive parameters. The impact of pressure P , the capillary radius R; the magnetic nanoparticle radius R M , the magnetic field intensity H on the blood flow along with magnetic particles is studied with regard to the inputs and model of magnetic field. The mathematical results for both the velocity of particles and blood are calculated. It is observed that magnetic field is directly proportional to the flow pattern as an increase in the former upsurge the latter. Moreover, the distance between magnet and capillary wall exerts a direct influence on velocity and is helpful to pull magnetic nanoparticles to the capillary wall. Thus, it is concluded by simulation that the magnetic parameters govern the velocity profile.