Abstract

An exploration is made to investigate numerically and theoretically the time dependent flow of blood along with heat transfer through abnormal artery having trapezoidal shaped plaque. The flow is taken to be Newtonian, laminar, unsteady and incompressible. A suitable geometrical model is constructed to simulate the trapezoidal stenosis affected artery. The governed 2-dimensional momentum and heat transfer equations are conventionalized by assuming mild trapezoidal stenosis. The renovate partial differential equations are further converted into ordinary differential equations by assist of transformations. The novelty of the work is to consider unsteady blood flow through trapezoidal shape stenosed artery. A technique of finite difference is used to discretize the updated dimensionless model numerically. Comprehensive graphical outcomes for a flow of blood are obtained. The effect of trapezoidal plaque on blood velocity, pressure and temperature are shown by surface graph inside the artery and also shown with the help of line graph.

Details

Title
Mathematical inspection of heat transfer and unsteady viscous flow in a tunnel with trapezoidal shaped slender wall
Author
Riaz Dar, Muhammad Naveel 1 ; Hussain, Azad 1 ; Hussain, Faizan 1 ; Alrasheedi, Nashmi H. 2 ; Hajlaoui, Khalil 2 ; Ben Hamida, Mohamed Bechir 3 

 University of Gujrat, Department of Mathematics, Gujrat, Pakistan (GRID:grid.440562.1) (ISNI:0000 0000 9083 3233) 
 Imam Mohammad Ibn Saud Islamic University (IMSIU), Department of Mechanical Engineering, College of Engineering, Riyadh, Saudi Arabia (GRID:grid.440750.2) (ISNI:0000 0001 2243 1790) 
 Imam Mohammad Ibn Saud Islamic University (IMSIU), Department of Mechanical Engineering, College of Engineering, Riyadh, Saudi Arabia (GRID:grid.440750.2) (ISNI:0000 0001 2243 1790); University of Monastir, Research Laboratory of Ionized Backgrounds and Reagents Studies (EMIR), Preparatory Institute for Engineering Studies of Monastir (IPEIM), Monastir City, Tunisia (GRID:grid.411838.7) (ISNI:0000 0004 0593 5040); University of Sousse, Higher School of Sciences and Technology of Hammam Sousse (ESSTHS), Sousse, Tunisia (GRID:grid.7900.e) (ISNI:0000 0001 2114 4570) 
Pages
10830
Publication year
2023
Publication date
2023
Publisher
Nature Publishing Group
e-ISSN
20452322
Source type
Scholarly Journal
Language of publication
English
ProQuest document ID
2832909906
Copyright
© The Author(s) 2023. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.