A mathematical analysis of magnetic field effect on the solute dispersion in blood flow through an artery

Abstract

Blood flow can be deemed as a fluid dynamics problem in a human arterial system, and one of the practical issues in biomedical engineering is dispersion of solute. This research aims to examine the magnetic field effect on the dispersion of solute in blood flow through an artery by representing the blood as Casson fluid. An analytical solution of velocity with magnetic field is attained. By solving convective-diffusion equation and implementing Taylor-Aris dispersion technique, the concentration of solute, relative and effective axial diffusivity are attained. The existence of magnetic field induces the magnetic force that affects the blood velocity and solute dispersion process. The influences of magnetic field toward the blood flow velocity and solute dispersion process are discussed graphically. The results indicate that the blood velocity, solute concentration, relative and effective axial diffusivity rises with the increment of pressure gradient and reduces with the increment of Hartmann number, magnetic field gradient and plug core radius. Thus, it is examined that the magnetic field reduces the blood velocity and axial diffusivity. On this basis, it is hoped that the present study would enable someone to understand the process of solute dispersion in blood flow.