Numerical Simulation of Blood Flow of Casson Fluid with Brownian Motion and Thermophoresis Effect

Abstract

This research presents a comprehensive numerical investigation into two-dimensional, unsteady blood flow, incorporating the combined effects of thermophoresis and Brownian motion. The study aims to explore how these phenomena influence the dynamics of blood flow under various conditions. To facilitate the analysis, a similarity transformation approach is employed to reduce the complex system of partial differential equations governing the flow into a system of ordinary differential equations. These simplified equations are then solved numerically using a finite difference scheme, with the bvp4c solver in MATLAB and shooting techniques, to obtain both graphical and numerical results. The study specifically examines the effects of several key physical factors on the primary variables of interest in blood flow, including velocity, temperature, and concentration. Through detailed analysis, the research highlights how changes in parameters such as thermophoretic force, Brownian motion, and other relevant factors influence the flow characteristics and behaviour of blood under unsteady conditions. The findings from this investigation have significant practical implications in biomedical applications, including enhancing the understanding of blood flow for blood cancer treatments and improving the effectiveness of magnetic therapies.