Influence of Forced Field on Blood Flow in an Overlapping Stenosed Arterial Section

Authors

  • M. Dhange Department of Mathematics, BLDEA’s VP Dr PG Halakatti College of Engineering and Technology, Vijayapur, India (Affiliated to Visvesvaraya Technological University, Belagavi, Karnataka, India) https://orcid.org/0000-0002-7855-9934
  • Sankad Department of Mathematics, BLDEA’s VP Dr PG Halakatti College of Engineering and Technology, Vijayapur, India (Affiliated to Visvesvaraya Technological University, Belagavi, Karnataka, India) https://orcid.org/0000-0002-7043-6251
  • U. Bhajakkanar Department of Science and Humanities, Rajarambapu Institute of Technology, Islampur, India
  • Nurul Aini Jaafar Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, Johor, Malaysia https://orcid.org/0000-0003-4346-6786

DOI:

https://doi.org/10.24996/ijs.2024.65.10.23

Keywords:

Casson fluid, Forced field, Overlapping Stenosis, Flow Resistivity

Abstract

This article presents the theoretical analysis of the nonlinear behavior of the blood flow through an angled arterial segment with overlapping stenosis. A mathematically created time-variant stenosis emerges from the formation of arterial narrowing brought on by atheroma. An elastic cylindrical tube with a moving wall is used to represent the artery, and the Casson liquid is used to simulate blood that flows through it. The nonlinear elements that arise in the equations, govern blood flow are taken  into account.  The impact of the pulsatile pressure gradient that caused by the regular heartbeat on the flow process in the stenosed artery is demonstrated  mathematically. By employing the boundary conditions, the present analytical technique can easily compute the velocity profiles, wall shear stress, and flow resistivity. To carry out a systematic quantitative study, the desired quantities are numerically computed. The results are graphically presented in the discussion section. They provide an overview of how the degree of stenosis and the malleability of the artery wall influence blood flow abnormalities. The application of the current model is adequately justified by many significant conclusions.

 

Author Biography

Sankad, Department of Mathematics, BLDEA’s VP Dr PG Halakatti College of Engineering and Technology, Vijayapur, India (Affiliated to Visvesvaraya Technological University, Belagavi, Karnataka, India)

Professor in Mathematics Department

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Published

2024-10-30

Issue

Section

Mathematics

How to Cite

Influence of Forced Field on Blood Flow in an Overlapping Stenosed Arterial Section. (2024). Iraqi Journal of Science, 65(10), 5597-5609. https://doi.org/10.24996/ijs.2024.65.10.23

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