Numerical Simulation of Mass Transport Phenomena on Non-newtonian Magnetohydrodynamics Flow of Blood through a Porous Stenosed Bifurcated Artery

Abstract

The transport of atherogenic molecules across a bifurcated artery under the stenotic conditions are examined in this present work simultaneously with the effects of magnetohydrodynamics and non-Newtonian flow of blood. The streaming blood is characterised as the power law rheological model that pass through a constricted vessel which acts as a porous medium considering that stenosis is developed from the deposition of fatty substance. This abnormal growth of plaque accumulation which deposited at lumen of the mother artery is modelled as an overlapping shaped stenosis and can be categorized as multiple stenoses. The incompressible, steady, laminar and viscous flow of blood is governed by the continuity, Navier-Stokes and convection-diffusion equations coupled with the non-Newtonian constitutive equation. The equations governing such fluid motion with appropriate boundary conditions are then numerically solved by a stabilized form of finite element approach known as Galerkin least-squares method. The computational domain and dependent variables are both being approximated by quadratic triangular element interpolation function of isoparametric formulation. Effects of different fluids characterisation and magnetic field has been validated and show a satisfactory agreement with findings from previous literatures, thus verify the applicability of the developed algorithms. The findings on the contour filled of velocity with streamlines pattern, contour field of shear stress distribution and contour filled of concentration are simulated with varying hemodynamic parameters of magnetic intensity and porosity constant. The simulated findings have revealed that shear-thinning fluid is vulnerable to an increasing extension of cholesterol accumulation, particularly in the downstream region of stenosis. This vulnerability is predominantly observed when the largest flow separating region and lowest luminal mass transfer coincide, especially when accompanied by the highest flow porosity and magnetic source application, as compared to its counterpart.