Authors: Sheid, Avidime Momohjimoh, Sheidu Omeiza Momoh, Oyem Onyekachi Anslem, Shuaibu, Muhib Amoto
Abstract: This study presents a comprehensive numerical investigation of magnetohydrody-namic (MHD) blood-based nanofluid flow with coupled heat and mass transfer for cardiovascular prosthetic applications. The research addresses critical gaps in thermal regulation and targeted drug delivery modeling by developing a physiolog-ically realistic mathematical framework that incorporates electromagnetic effects, nanoparticle dynamics, and the non-Newtonian rheology of blood. The govern-ing conservation equations for mass, momentum, energy, and species concentration are formulated within a boundary layer framework, incorporating Lorentz forces, variable thermal conductivity, viscous dissipation, Joule heating, Brownian motion, thermophoresis, and chemical reactions. Through similarity transformations, the nonlinear partial differential equations are reduced to a system of coupled ordinary differential equations, which are solved numerically using a collocation method im-plemented in Python (scipy.integrate.solve_bvp). A comprehensive parametric analysis reveals that thermal and solutal buoyancy significantly enhance momentum transport, while the Prandtl number governs thermal boundary layer characteristics. Nanoparticle transport is predominantly controlled by thermophoresis and Brown-ian motion, with thermophoresis promoting nanoparticle accumulation and Brown-ian motion enhancing diffusion. The Schmidt number suppresses species diffusion, while the Casson parameter exhibits minimal influence on velocity but significantly affects thermal distribution. The magnetic parameter introduces resistive Lorentz forces that modify both momentum and thermal fields. These findings provide valu-able insights for the design of cardiovascular prosthetics, thermal therapy systems, and targeted drug delivery platforms.
DOI: http://doi.org/10.5281/zenodo.21407708
Published by: vikaspatanker