Modeling and Computational Study of Fractional Oldroyd-B Fluid in MHD Blood Circulation Through Bifurcated Arteries

Hussaini R, Tahiru AG, Ismaila IO and Abdullahi I

Published on: 2025-02-12

Abstract

This study employs a fractional non-Newtonian fluid approach incorporating the Atangana-Baleanu fractional derivative to better capture the viscoelastic nature of blood. The study integrates external magnetic field effects and heat transfer mechanisms to explore their combined influence on velocity, temperature, and concentration profiles. The governing equations, derived from fundamental fluid dynamics principles, are analytically solved using a hybrid approach combining the Homotopy Perturbation Method (HPM) and Laplace Transform techniques. Graphical simulations reveal that increasing the magnetic field parameter reduces blood velocity due to the Lorentz force, while thermal radiation and heat sources elevate temperature distribution. The concentration of solutes, relevant for drug delivery, is significantly influenced by mass diffusivity and thermal gradients. The findings demonstrate the importance of fractional calculus in accurately modeling blood flow and improving medical applications, particularly in cardiovascular treatment and hyperthermia therapy, and it also contributes to the growing body of knowledge on MHD blood dynamics and fractional fluid models, offering new perspectives on optimizing drug transport and disease treatment strategies.