Computational Analysis of a Mathematical Model for Blood Flow and Nanoparticle Transport with Heat Transfer in a Porous Artery

Tahiru AG, Muhammada IB and Musa F

Published on: 2025-02-12

Abstract

The study of blood flow through porous arteries in the presence of nanoparticles and heat transfer has significant implications for biomedical applications, including targeted drug delivery and hyperthermia treatments. This research presents a mathematical model that describes the dynamics of an incompressible viscoelastic Maxwell fluid containing gold nanoparticles within a cylindrical artery with porous walls. The governing equations, incorporating the effects of fluid viscosity, external magnetic fields, nanoparticle concentration, and thermal influences, are formulated using the Navier-Stokes equations and solved analytically through the Laplace and finite Hankel transforms. The results highlight the impact of key parameters such as relaxation time, magnetic field strength, nanoparticle mass, and arterial wall porosity on blood velocity, nanoparticle transport, and temperature distribution. The findings provide insights into optimizing nanoparticle-based medical therapies by enhancing flow control, improving heat transfer efficiency, and refining targeted delivery techniques. This study contributes to the advancement of computational modeling in biomedical engineering, offering a cost-effective approach to predicting blood flow behavior under physiological and therapeutic conditions.