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

In this article, we have examined the impacts of curvature on the time dependent non-Newtonian flow of the nano-fluid. In this numerical study, a mathematical framework is created to analyse the impacts of blood shear thinning/thickening on the rheology of the nano-fluid within the curved channel, which is not yet explored. The pulsating flow of a nano-fluid (blood) through a curved artery with stenosis and post-stenotic dilatation in its interior is analyzed numerically to determine the impacts of Thermophoresis and Brownian motion. The basic suggested physical system mathematically incorporates the 2-dimensional curvilinear coordinate system. The Herschel-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. The non-dimensionalized governing equations associated with the boundary condition can be discretized and solved by employing explicit finite differences methods. 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, the curved channel's radius is observed to significantly impact 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.