Wajihah S, Afiqah and Sankar, D S and Nagar, Atulya K. (2022) Effects of catheter, stenosis and thrombosis in non-Newtonian blood flow through narrow arteries with clinical applications - A mathematical model. International Journal of Applied and Computational Mathematics. ISSN 2349-5103 (Accepted for Publication)
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Abstract
This study analyses the rheological characteristics of non-Newtonian Carreau fluid model for nanoparticles suspended flow of blood through con-stricted arteries in the presence of stenosis, thrombosis and catheters. Ana-lytical expressions, such as, velocity distribution, temperature, pressure gra-dient, wall shear stress and resistive impedance to flow are obtained by im-plementing the perturbation method and through the extensive use of MAT-LAB and MATHEMATICA programming tools, the results are presented graphically and tabularly. It is found that temperature of the fluid lessens with the increase in stenosis shape parameter and depth of stenosis which results in the reduction of flow of blood in the artery. It is discovered that a rise in Weissenberg number results in the decrease of fluid’s velocity and skin friction. The magnitude of resistance to blood flow reduces with the upsurge of flow rate and stenosis shape parameter and the reverse character is recognized when Weissenberg number, the depth and axial displacement of blood clot increases. When the angioplasty catheter of radius 0.3 is in-serted to the clear the constrictions in the artery, the resistance to flow surges considerably in the range of 6.75-8.78 when the stenosis position extends in the axial direction from 0.1 to 0.3. It is also recorded that when the catheter guidewire radius is 0.18, the pressure gradient in blood flow is found to vary in the range of 1.21-1.43 when the axial variable z varies from 0.2 to 0.8 and it decreases from 1.36-1.32 when the blood clot position displaces from 0.2 to 0.6.
| Item Type: | Article |
|---|---|
| Additional Information and Comments: | This version of the article has been accepted for publication in the International Journal of Applied and Computational Mathematics. The final publication will be available from: https://link.springer.com/journal/40819 |
| Keywords: | Carreau fluid model; Copper Nanoparticles; Stenosed artery; Throm-bosis; Catheterization; Clinical Applications |
| Faculty / Department: | Faculty of Human and Digital Sciences > Mathematics and Computer Science |
| Depositing User: | Atulya Nagar |
| Date Deposited: | 05 May 2022 11:15 |
| Last Modified: | 28 Sep 2023 13:49 |
| URI: | https://hira.hope.ac.uk/id/eprint/3532 |
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