Arya Bhatta Journal of Mathematics and Informatics

  • Year: 2025
  • Volume: 17
  • Issue: 2

Mathematical and CFD-Based Analysis of Arterial Blood Flow Through Stenosis for Clinical Applications

1Department of Mathematics, Rabindranath Tagore University, Bhopal (M.P), India

2Department of Mathematics, Rabindranath Tagore University, Bhopal (M.P), India

3Department of Mathematics, Lakshmi Narain College of Technology & Science, Bhopal (M.P), India

*E-mail: sharmaroop472@gmail.com

**bhawana.agrawal@aisectuniversity.ac.in

***sanjeetkumarmath@gmail.com

Online published on 29 January, 2026.

Abstract

This study employs mathematical and computational flow modeling to discern the blood flow through a stenotic artery and improve the understanding of hemodynamics in pathological situations. To assess blood flow realistically through the stenosed parts of the artery, blood is modeled as a non-Newtonian fluid. The governing motion equations in cylindrical coordinates are solved and, the velocity, temperature, and concentration fields are generated and illustrated in a graph showing the effects of several dimensionless parameters, including the Grash of and Brownian motion parameters. The results indicate that the wall shear stress and flow distribution are significantly affected by the increasing severity of stenosis. The results of the Computational Fluid Dynamics (CFD) model are validated against existing analytical solutions, which are in close agreement. Wall stress and effective resistance blood flow results elucidate the clinical diagnostic and therapeutic process flow for patients with cardiovascular disease (CVD).

Keywords

Non-Newtonian fluid, Computational Fluid Dynamics (CFD), Resistance blood flow, Wall shear stress