Modelling Pulsatile Blood Flow Using Casson Fluid Model Through an Overlapping Stenotic Artery with Au-Cu Hybrid Nanoparticles: Varying Viscosity Approach

Abstract

The present study aims to perform computer simulations of two-dimensional hemodynamics of blood flow through an overlapping stenosed artery considering the non-Newtonian Casson fluid model to simulate the arterial region’s hemorheological properties and hematocrit-dependent viscosity to mimic the realistic behavior of blood with a uniform magnetic field applied in the radial direction of the blood flow, motivated by magneto-hemodynamics effects. This study is influenced by drug delivery applications and proposes a mathematical model for unsteady blood flow using hybrid biocompatible nanoparticles (Gold and Copper). The Crank-Nicolson method solves the transformed governing equations with accompanying boundary conditions. For a given critical height of the stenosis, key hemodynamic variables such as velocity, wall shear stress, temperature, and flow rate are computed. The velocity and temperature profiles show enhancement as the Casson fluid parameter (β) increases. The velocity, wall shear stress, and flow rate of the fluid (blood) decline with an increment in the hematocrit parameter (hm). A comparative study with published work is done to validate the current model, which is in good accord with the previous work. The findings may act as a benchmark for formulating the best regimens for the targeted treatment of atherosclerosis, obstructed hemodynamics, nano-hemodynamics, nano-pharmacology, blood purification systems, and treatment of hemodynamic ailments.