Biomechanical Analysis of Eyring Prandtl Fluid Model for Blood Flow in Stenosed Arteries

Abstract

Abstract In this article, we have examined biomechanical analysis of Eyring Prandtl fluid model for blood flow in stenosed arteries. Blood flow in arteries is an important phenomenon from biological and medical point of view. No one can survive without blood flow in tapered arteries. Blood flow is the continuous running of blood in the cardiovascular system. The human body is made up of several processes all carrying out various functions. We have the gastrointestinal system which aids the digestion and the absorption of food. We also have the respiratory system which is responsible for the absorption of O2 and elimination of CO2. The urinary system removes waste from the body. The cardiovascular system helps to distribute food, O2 and other products of metabolism. The reproductive system is responsible for perpetuating the species. The nervous and endocrine system is responsible for coordinating the integration and functions of other system. The equations govern the flow for considered model are presented in cylindrical coordinates. Perturbation solutions are developed in terms of small Eyring Prandtl fluid parameter β for the velocity, impedance resistance, wall shear stress and shearing stress at the stenosis throat. Three types of arteries i.e converging, diverging and non-tapered arteries have been considered for the analysis and discussion. Graphical results have been presented for different physical parameters of the flow problem. Streamlines have been plotted at the end of the article. We observed that due to increase in Eyring Prandtl fluid parameter α, β the stenosis shape n and maximum height of the stenosis δ the velocity profile increases.