Affiliation:
1. Engineering Mathematics and Physics Department Faculty of Engineering ‐ Shubra ‐ Benha University Benha Egypt
2. Mathematical Department Faculty of Science Al‐Azhar University Nasr City Cairo Egypt
3. Mathematics Department Faculty of Science Kafrelsheikh University Kafrelsheikh Egypt
Abstract
AbstractIn biomechanical devices, blood can be transfused through small, curved walls. Accordingly, this research highlights the study of blood flow in cases of stenosis of the elastic artery with curvature. The effects of bending on the shear and resistance through this elastic tube have been investigated. The moderate stenosis case has been used to simulate the governing equations for an incompressible and steady non‐Newtonian fluid, or “tangent hyperbolic fluid”. A perturbation technique has been used to obtain an analytical solution. The Rubinow & Keller model [24] simulates the flexibility of the stenosis artery walls. The results showed that increasing the parameters linked to the walls' flexibility made it easier for blood to flow through the stenosis area, which emphasizes the need for a thorough investigation of non‐Newtonian fluid flow phenomena. One of the most important threats facing humanity is blood stenosis. In microvasculature, there are many conditions in which the blood vessels are curved or twisted, especially in the case of disease.
Subject
Applied Mathematics,Computational Mechanics