Eventos Anais de eventos
COBEM 2023
27th International Congress of Mechanical Engineering
A MATHEMATICAL MODEL FOR POROUS PARALLEL FINS WITH CONTACT RESISTANCE AT THEIR BASE
Submission Author:
Maria Laura Martins-Costa , RJ , Brazil
Co-Authors:
Vinícius Vendas Sarmento, Maria Laura Martins-Costa, ROGERIO GAMA
Presenter: Maria Laura Martins-Costa
doi://10.26678/ABCM.COBEM2023.COB2023-1094
Abstract
This research aims to find the impact of convection and radiation on the temperature distribution between parallel porous fins in a large array, accounting for contact thermal resistance at their base and heat exchange at the fins’ tip. The methodology consists in using a dimensionless form associated with the steady-state heat transfer problem to propose a new yet simple method that transforms the highly non-linear Integro-Differential problem into a linear problem that can be used with a range of methods, including the Finite Differences Method as well as the Finite Volumes Method, for example. The linear problem then becomes a sequence of elements solved through a Gauss-Seidel scheme along the fin’s length that must be iteratively computed until the problem converges according to a chosen convergence criteria. However, depending on the selected parameters, an improperly chosen convergence criteria could wrongly stop the computation before the sequence of elements is truly convergent. To avoid this trouble, instead of analyzing the latest two iterations (the most commonly used criterion), sufficiently distant iterations of the sequence are analyzed.
Keywords
Nonlinear Heat Transfer, Parallel Porous Fins, Contact Thermal Resistance at Fin’s Base, Numerical simulation
