A Substantial Model for Blood Flow

Abstract

In this study, a mathematical model for blood flow in human arteries is examined. Arteries are modelled as tapered elastic pipes, blood as a Newtonian fluid with variable viscosity, and blood flow as an oscillatory function with a single harmonic. We solved the model using the Homotopy analysis method (HAM) and obtained expressions for the volumetric flow rate (QF) and wall shear stress (WSS). Blood flow in the human femoral artery for male and female populations aged 19–60 and above years have been simulated using publicly accessible data for healthy, anaemia, and polycythaemia cases. The outcomes of the analysis of the simulated data are as follows: in anaemic conditions, the model predicted high wall shear stress, whereas in polycythaemia situations, it predicted lower levels. Statistical techniques were used to test the significance of the model parameters on wall shear stress (WSS) and volumetric flow rate (QF).