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Dhange M, Sankad G, Safdar R, Jamshed W, Eid MR, Bhujakkanavar U, Gouadria S, Chouikh R. A mathematical model of blood flow in a stenosed artery with post-stenotic dilatation and a forced field. PLoS One 2022; 17:e0266727. [PMID: 35776713 PMCID: PMC9249183 DOI: 10.1371/journal.pone.0266727] [Citation(s) in RCA: 7] [Impact Index Per Article: 3.5] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/09/2021] [Accepted: 03/28/2022] [Indexed: 11/28/2022] Open
Abstract
Arterial stenosis is a common cardiovascular disease that restricts blood flow. A stenotic blood vessel creates tangent stress pressure, which lessens the arterial side and causes an aneurysm. The primary purpose of this study is to investigate blood flowing via an inclination pipe with stricture and expansion after stricture (widening) underneath the influence of a constant incompressible Casson liquid flowing with the magnetism field. The relations for surface shearing stress, pressure drop, flow resistance, and velocity are calculated analytically by applying a mild stenosis approximation. The effect of different physical characteristics on liquid impedance to flowing, velocity, and surface shearing stress are studied. With a non-Newtonian aspect of the Casson liquid, the surface shearing stress declines, and an impedance upturn. Side resistivity and shear-stress increase with the elevations of stricture, whilst together decreasing with a dilatation height.
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Affiliation(s)
- Mallinath Dhange
- Department of Mathematics, BLDEA’s VP Dr. PG Halakatti College of Engineering and Technology, Vijayapur, India
| | - Gurunath Sankad
- Department of Mathematics, BLDEA’s VP Dr. PG Halakatti College of Engineering and Technology, Vijayapur, India
| | - Rabia Safdar
- Department of Mathematics, Lahore College for Women University, Lahore, Pakistan
| | - Wasim Jamshed
- Department of Mathematics, Capital University of Science and Technology (CUST), Islamabad, Pakistan
| | - Mohamed R. Eid
- Department of Mathematics, Faculty of Science, New Valley University, Al-Kharga, Al-Wadi Al-Gadid, Egypt
- Department of Mathematics, Faculty of Science, Northern Border University, Arar, Saudi Arabia
| | - Umesh Bhujakkanavar
- Department of Science and Humanities, Rajarambapu Institute of Technology, Islampur, Maharashtra, India
| | - Soumaya Gouadria
- Department of physics, College of Science, Princess Nourah bint Abdulrahman University, Riyadh, Saudi Arabia
| | - R. Chouikh
- Research Center for Advanced Materials Science (RCAMS), King Khalid University, Abha, Saudi Arabia
- Laboratory of Thermal Processes, Center for Energy Research and Technology, Borj-Cedria, Tunisia
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