Effects of thermophoresis and brownian motion on the pulsating nano-fluid in a curved diseased arterial segment

Abstract

Pulsating flow of a nano-fluid (blood) through a curved artery with stenosis and post-stenotic dilatation in its interior is analysed numerically to determine the impacts of Thermophoresis and Brownian motion. The Hershel-Bulkley model successfully captures the fluid's rheology. By applying the mild stenosis premise, we are able to describe and simplify the highly coupled momentum, energy, and mass concentration. By employing explicit finite differences methods, the non-dimensionalized governing equations associated with the boundary condition can be discretized and solved. Graphs and discussions of the effects of changing pertinent geometric and rheological factors on key flow characteristics, such as temperature, velocity, and mass concentration, are provided. Even though the curvature of the artery only marginally modifies the blood's temperature and mass concentration, it is observed that the radius of the curved channel has a significant impact on blood velocity. Furthermore, as the Brownian motion of the nano-fluid increases, the temperature of the fluid decreases, while the thermophoresis measure exhibits the contrary behavior.