Paper Title
NUMERICAL STUDY OF THE MIXED CONVECTION INSIDE A TRAPEZOIDAL CAVITY LOADED WITH NANOENCAPSULATEDPHACE CHANGE MATERIAL

Abstract
The utilization of nanoencapsulated phase change materials (NEPCM) in thermal energy storage systems has been the subject of discussion among a great number of researchers in recent years. A numerical analysis of the mixed convection of NEPCM was performed in the present work. The analysis was performed inside a lid-driven trapezoidal container that included an elliptical heated cylinder in the middle. In addition to that, the container is subjected to a magnetic field. Both of the side walls of the container are heated, and the top and bottom walls are insulated. The top wall of the container is undergoing uniform motion. Through the use of the Galerkin Finite Element Method (FEM), the equations that represent the system were addressed. The purpose of this study is to explore the influence of several factors, such as the angle at which the heated elliptical cylinder is positioned (0 degrees, 45 degrees, 90 degrees, and 135 degrees) and the intensity of the magnetic field (0, 25, 75, and 100). This article presents and analyzes the influence of these factors on the temperature contours, streamlines, average Nusselt number, and Bejan number.