Mathematical Modelling of Blood Flow in Multi-Stenosed Artery with MHD Effect Under Porous Medium

Krishna Rawat, Rishabh Painuly, Mayank Negi

Abstract: We consider a mathematical model that simulates the blood flow within a multi-stenoses artery under the influence of an external transverse magnetic field. The interaction between the magnetic field and electrically conducting fluid (blood) generates force, which drives the movement of blood in the arterial stenotic region. Fluid?s non-Newtonian behaviour is often modelled using Power-law and Casson fluids, particularly when simulating blood flow in narrow arteries and other vascular structures where the viscosity changes. Therefore, we assume the laminar and non-Newtonian behaviour characteristics of blood flow in narrow blood vessels. The governing equations are formed by transforming coordinates for a nonlinear model of pulsatile blood flow in the circulatory system and formulate the analytical expressions for axial velocity, wall shear stress, volumetric flow rate, pressure gradient and resistive flow/impedance with numerical computations to show the effect of various parameters over analytical results by using MATLAB software. These expressions uncover the significant variations in flow characteristics due to stenosis shape and the presence of a transverse magnetic field; basically, it is capable to alter the behaviour of blood flow within the artery. This investigation may provide useful information to the researchers, mathematicians and medical practitioners, who are working to investigate the effect of magnetic field on blood flow in narrow or stenosed arteries.

Keywords: Magnetohydrodynamics (MHD), Multi-stenosis, Wall shear stress, Volumetric flow rate, Axial velocity

How to Cite?: Krishna Rawat, Rishabh Painuly, Mayank Negi, "Mathematical Modelling of Blood Flow in Multi-Stenosed Artery with MHD Effect Under Porous Medium", Volume 14 Issue 8, August 2025, International Journal of Science and Research (IJSR), Pages: 1584-1589, https://www.ijsr.net/getabstract.php?paperid=SR25825180434, DOI: https://dx.doi.org/10.21275/SR25825180434