High Performance Simulation of Blood Flow Pattern and Transportation of Magnetic Nanoparticles in Capillaries

Abstract

In the first place, the paper analyses the blood flow patterns in a capillary during the existence of a uniform external magnetic field by a hybrid CPU/GPU approach. The blood flowing through the capillary is supposed to be Newtonian; while the flow is incompressible and laminar. Magnetic Nanoparticles have been considered as therapeutic agent for the magnetic targeted drug delivery in the defence against cancer. However, the problem is expressed as a boundary value problem containing a system of partial differential equations in order to study the flow field and magnetic Nanoparticles. Finite element discretization is applied to resolve the system of equations which contains a large sparse system of equations requiring high computation. The CPU/GPU method serves as a platform to deal the wide-ranging computations in parallel. Therefore, the solution times can significantly be reduced by this platform as compared to the application of CPU. This allows more effective examination of different mathematical models and their leading parameters. The influence of the magnetic nanoparticle radius, capillary radius R, pressure P, magnetic field intensity H on the velocity profile of blood and magnetic nanoparticles have been investigated in terms of the magnetic field inputs and model. Secondly, the numerical solutions for velocity of blood and velocity of particles are computed along with the observation that an increase in magnetic field leads to increase in the flow pattern. Finally, the simulation concludes that the magnetic parameters have a key role to control the velocity profile.