ABSTRACT Understanding blood flow through stenotic arteries is crucial, as stenosis can lead to significant damage. In this work, we assessed the non‐Newtonian behavior of blood flowing through an artery with an elliptical cross‐section that has multiple stenoses affecting the blood flow. The Prandtl–Eyring fluid model is employed to represent the non‐Newtonian properties of blood. The flow‐controlling equations are converted into dimensionless form, and the mild stenosis assumption is used to reduce their nonlinearity. Then, the perturbation technique is applied to solve the simplified equations. The graphical analysis of these analytical outcomes is also presented, providing an in‐depth view of the relationship between flow velocity and wall shear stress as a function of various physical characteristics. A direct relationship is noted between stenosis height and velocity and wall shear stress. The increment of 4% in stenosis height causes nearly 2% enhancement in the velocity and wall shear stress. Further, the streamlined representations are used to display the disruptions in blood flow. It depicted the contour generation in the stenotic portions of the artery, highlighting the substantial effects of stenosis in the constricted areas. Finally, the sensitivity analysis is used to determine the parameter that has the biggest effect on the velocity profile, and the results allow us to conclude that the most important factor affecting the velocity distribution is the stenosis height.
Shahzad et al. (Wed,) studied this question.