Analysis of Unsteady Magnetohydrodynamic Flow of Blood with Slip Conditions in a Permeable Inclined Stretching Vessel

Abstract

This study presents a theoretical examination of time-dependent magnetohydrodynamic flow of blood within a permeable, inclined stretching vessel, incorporating slip conditions to enhance the understanding of blood dynamics in biomedical applications. The porous structure of the vessel naturally impedes the blood's motion. The complex partial differential equations describing this flow were simplified into a set of ordinary differential equations using similarity variables, which were then solved numerically with the Keller-box method. The research systematically analysed how the blood's velocity, temperature, and concentration profiles respond to changes in several key physical parameters. These included the flow's unsteadiness, chemical reaction rates, thermal slip, Prandtl and Schmidt numbers, vessel permeability, velocity slip and magnetic field intensity. Results show these factors significantly alter the fluid's behaviour. A key observation is that higher slip velocity leads to increased temperature and nanoparticle concentration, while simultaneously reducing the fluid's velocity. Furthermore, slip velocity enhances both heat transfer and surface friction. Raising the thermal slip parameter increases the concentration of nanoparticles but lowers the fluid temperature. Additionally, an increase in thermal slip diminishes the rates of heat and mass transport. A higher thermal radiation factor results in an elevated temperature profile.