Eventos Anais de eventos
COBEM 2019
25th International Congress of Mechanical Engineering
Temperature field evaluation of a two-dimensional partial heat flow problem through Green's Functions
Submission Author:
Guilherme Ramalho Costa , MG
Co-Authors:
Guilherme Ramalho Costa, José Aguiar dos Santos Junior, José Ricardo Ferreira Oliveira, Jefferson Gomes do Nascimento, Gilmar Guimaraes
Presenter: José Aguiar dos Santos Junior
doi://10.26678/ABCM.COBEM2019.COB2019-0381
Abstract
Analytical solution of heat conduction problems is an important alternative because, among other factors, it presents a lower computational cost when compared with numerical solutions. Green’s Functions method is an important method of analytical solutions because of the possibility of solving transient problems of heat conduction, with internal generation and with variable conditions of time. In other words, Green’s Functions are mathematical tools used to obtain the temperature field in linear, transient or permanent heat conduction problems with internal generation. In the present work, a two-dimensional transient heat conduction problem is presented, with boundary conditions: prescribed temperature - thermal insulation on one Cartesian axis and partial prescribed heat flow - partial prescribed flow on the other axis. Analytical solution of this problem is obtained through Green´s Functions. Intrinsic verification of the solution is performed primarily by changes in the geometry and boundary conditions imposed. Subsequently, another verification is performed, comparing the original 2D problem with a 1D problem with boundary conditions prescribed temperature - thermal insulation in y axes. Results presented after the checks validate the analytical solution obtained for the original proposed problem.
Keywords
Analytical Solution, prescribed flow, prescribed temperature, temperature field, intrinsic verification
