Thermal Analysis of the Effect of Non-Newtonian Fluid on the Optimally Spaced Elliptical Cylinder

The transfer of heat between bluff bodies and working fluids is a critical factor in various industrial applications, such as the design of heat exchangers and chemical reactors that can significantly impact the efficiency and performance of the system.This study aims to explore the heat transfer density between two aligned elliptical cylinders and a power-law fluid under external forced convection.The study investigates the influence of the Bejan number (100 ≤ Be ≤ 10000) and Prandtl number (1 ≤ Pr ≤ 100) for different aspect ratios (r = 0.1, 1, 5) of elliptical cylinders.Extensive results of streamlines and isothermal contours are discussed to delineate the influence of range of parameters on the flow and thermal field around the elliptical cylinders.The study also examines the heat transfer densities as a function of the Be, Pr, n and r.The results reveal that the heat transfer densities have a complex dependency on Be and Pr, particularly for shear-thinning fluid (n < 1).However, for shear-thickening and Newtonian fluids (n ≥ 1), the heat transfer densities increase with the increase in both Prandtl and Bejan number.