NUMERICAL SOLUTION OF HEAT DIFFUSION IN PARTS WITH COOLING CAVITIES WITH GEOMETRIC VARIATION AND CONTOUR CONDITIONS

Abstract

In the study of heat transfer, mathematical modeling is very laborious from an analytical point of view. Still looking at the interactive and iterative side of heat transfer problems, this makes it very difficult to solve and analyze the results. In this context, the numerical solution becomes a very efficient tool looking at its speed of resolution capacity by varying different parameters and even generating the appropriate graphics that represent the numerical result of a given problem. The Finite Element Method (FEM) is inserted in this context from the use of some software exactly because it is a numerical procedure to determine solutions of differential equations under boundary conditions. When it comes to cooling parts with heat generation, geometry and boundary conditions, such as conductivity and heat generation, can be highlighted as determining factors in this analysis process. In the proposition of two geometries, this work repeats the boundary conditions for both to analyze the temperature field. As a result, one of the geometries has a lower temperature gradient and consequently a lower maximum temperature, being better for cooling cavities as it is more effective. Mesh independence conditions within equal boundary conditions still generate an interpretation of why a mesh is refined, showing the discrepant difference between a refined mesh and an unrefined mesh.