COMPUTATIONAL PREDICATIONS OF NON-NEWTONIAN FLUIDS THROUGH TWO-STEP RECTANGULAR BACKWARD DUCT

Abstract

These days, mathematical modeling is common and crucial due to the medical sciences' urgent requirement to visualize the blood structure that travels through the human body's numerous vessels, veins, arteries, and other organs. Human diseases are on the rise, particularly stenosis, issues with the arteries, increased fat in the artery tubes, and high cholesterol that impairs blood flow through the veins and arteries. The channel's associated veins and arteries, as well as the ducts and tubes that joined them. Although blood is a very thick type of fluid, the non-Newtonian (NN) mechanics phenomenon was chosen in favor of the Navier-Stokes equations in two dimensions. As a result, the mathematical modeling of liquid movement via the double step backward channel was preferred. The momentum equation with pressure and velocity characteristics is favored, and these equations are condensed for liquid feature understandings. Owing to the intricate nature of the NN fluid problem, the computer tool COMSOL Multiphysics, which included the finite element method, was selected for approximation modeling. In the sciences and engineering, this instrument plays a vital role in rapidly computing the steady state solution to challenging problems. The continuity equation with momentum equation was used to support the continuum method due to numerical modeling. Here, the flow characteristics are shown for the Reynolds number, which is a change in fluid resistance on velocity features, and the power law index rate, which is a change for viscosity calculations. It is concluded that eddies were seen at every stage and rapidly improved with a higher Reynold number and a lower index rate. On the other hand, eddies grow larger as the Reynolds number and index rate increase, but their size increases extremely slowly as they approach the double step channel's outlet.

Keywords: Non-Newtonian fluids; two-step backward duct; Reynolds number; power-law index; finite element method; computational fluid dynamics; COMSOL Multiphysics; flow separation.