Computational analysis of an incompressible blood flow in bifurcated arteries
Muhammad Naveel Riaz Dar, Azad Hussain
Abstract
In this article blood flow through the stenotic-affected arteries is considered. The blood is depicted as a Newtonian fluid. The computational model is developed to analyze the phenomena. The blood enters the artery with a velocity of 0.12 ms−1. Mac numbers are kept low to take flow as a laminar. The regime of flow is modeled mathematically. The governing system of differential equations is non-linear that’s why one can’t find the exact solution. The computational technique is used to portray flow in stenotic-affected arteries. Mathematical equations are converted into ordinary ODEs with the help of transformation for simplicity. The solutions, such as the magnitude of the velocity and the temperature profile, are demonstrated by graphs. The effects of stenosis on flow are examined by graphs by considering the physical parameter (diameter). The pressure contour at different positions inside the artery is also presented by graphs. The change in velocity, temperature, and pressure due to the constriction of the wall is observed through graphs. The iso-surface temperature is also examined by geometrical graphs by keeping some part of the wall isolated.