Eventos Anais de eventos
ENCIT 2018
Brazilian Congress of Thermal Sciences and Engineering
FINITE ELEMENTS SIMULATION OF HEAT TRANSFER IN THIN PLATES WITH TEMPERATURE DEPENDENT CONDUCTIVITY
Submission Author:
Maria Laura Martins-Costa , RJ , Brazil
Co-Authors:
Gleydson Yuri Ramos Silva, Maria Laura Martins-Costa, ROGERIO GAMA
Presenter: Maria Laura Martins-Costa
doi://10.26678/ABCM.ENCIT2018.CIT18-0431
Abstract
This article studies the steady-state heat transfer in a thin flat plate with temperature dependent thermal conductivity. The thin plate assumption allows a two-dimensional approach using the mean value of the temperature over the plate thickness. The problem considers a known non-uniform internal heat supply and convective heat exchange between the environment and the plate, giving rise to a nonlinear partial differential equation subjected to a Neumann boundary condition. A piecewise constant function of the temperature is assumed for the thermal conductivity. In the sequence, a Kirchhoff transformation is used to build a convenient equivalent problem with an equivalent minimum principle. This minimization problem is numerically simulated using a finite element approach with triangular elements. Some results show that the employed methodology deals efficiently with the problem.
Keywords
Conduction heat transfer, Flat Plate, Kirchhoff transformation, Functional Minimization, Finite Element formulation.
