Vol.125, No.2, 2020, pp.565-577, doi:10.32604/cmes.2020.011883
OPEN ACCESS
ARTICLE
Blood Flow Through a Catheterized Artery Having a Mild Stenosis at the Wall with a Blood Clot at the Centre
• Anber Saleem1,2, Salman Akhtar3, Sohail Nadeem3,*, Alibek Issakhov4, Mehdi Ghalambaz5,6
1 Mathematics and Its Applications in Life Sciences Research Group, Ton Duc Thang University, Ho Chi Minh City, Vietnam
2 Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam
3 Department of Mathematics, Quaid-i-Azam University, Islamabad, 45320, Pakistan
4 Al-Farabi Kazakh National University, Faculty of Mechanics and Mathematics, av. al-Farabi, 71, Almaty, Kazakhstan
5 Institute of Research and Development, Duy Tan University, Da Nang City, 550000, Vietnam
6 Faculty of Electrical–Electronic Engineering, Duy Tan University, Da Nang City, 550000, Vietnam
* Corresponding Author: Sohail Nadeem. Email: sohail@qau.edu.pk
Received 03 June 2020; Accepted 07 August 2020; Issue published 12 October 2020
Abstract
The blood flow through a catheterized artery having a mild stenosis at the wall together with a blood clot at the centre is studied in the current investigation. Stenosis can occur in vessels carrying blood to brain (i.e., Carotid arteries), Renal arteries that supply blood to kidneys etc. The flow is refined in such vessels by application of catheter. We have used a Newtonian viscous fluid model and also distinct shapes of stenosis, (i.e., symmetric and non-symmetric shapes) are considered for this study. The entropy generation together with viscous dissipation is also taken into account for a complete description of heat transfer mechanism. Exact solutions are calculated for the problem subject to given “no slip conditions”. The results are discussed graphically. The velocity quickly increases for a non-symmetric stenosis as compared to a symmetric stenosis. When the height of mild stenosis increases and the channel becomes narrow then the velocity increases in the centre but it decreases with the stenosed wall. However, as the height of blood clot σ increases then the velocity of blood flow reduces with the wall having clot but it remains almost same with the stenosed wall. Streamlines are plotted to visualize the flow pattern. The trapping is symmetric for a symmetric stenosis shape but it changes to non-symmetric trapping when we have a non-symmetric shape of stenosis.
Keywords
Blood flow; catheter; stenosed artery; blood clot; entropy