Malaysian Journal of Mathematical Sciences, September 2025, Vol. 19, No. 3
Analysis of Blood Flow With Nanoparticles Through A Porous Inclined Overlapping Stenosed Artery Under the Influence of External Magnetic Field
Satwai, N., Prasad, K. M., and Phani Kumari, M. V.
Corresponding Email: nsatwai@gitam.in
Received date: 9 August 2024
Accepted date: 15 January 2025
Abstract:
A mathematical model for a steady flow of blood mixed with nanoparticles through an inclined stenosed artery having porous wall under the influence of magnetic field was developed. Here, blood is treated as a micropolar fluid and stensosis is overlapped. The closed form expressions for blood flow characherisitcs namely velocity, temperature and concentration distribution are obtained by using Homotopy perturbation method (which is one the semi analytical method). The effects of various physical cahracteristics of fluid flow on the impedence (resistance) to the flow and wall shear stress are analysed graphically. A novel result was found that the resistance to the fluid flow increases with the heights of the stenosis. Variation in nature of blood flow is examined, for varying values of the permeability remains constant, Brownian motion parameter, angle of inclination, magnetic field intensity, and thermophoresis parameter. The study reveals that the shear stress decreases with the increase in intensity of magnetic field, but it decreases with increase in permeability parameter. The Steram lines are drawn to explore the flow pattern and characteristics of momentum transfer. This theoretical study will help to understanding the flow phenomenon in the stenosed (overlapping) arteries under magnetic and nanofluid influences, with potential applications in improving the design of biomedical devices and systems involving fluid flow in porous media.
Keywords: overlapping stenosis; flow resistance; pressure drop; wall shear stress; Brownian motion parameter; thermophoresis parameter
