Eventos Anais de eventos
COBEM 2019
25th International Congress of Mechanical Engineering
ANALYTICAL SOLUTION OF THE DIRECT PROBLEM IN MULTILAYER HEAT CONDUCTION
Submission Author:
sidney ribeiro , MG
Co-Authors:
Gabriela Oliveira, sidney ribeiro, Gilmar Guimaraes
Presenter: Gabriela Oliveira
doi://10.26678/ABCM.COBEM2019.COB2019-1405
Abstract
This paper presents a method of obtaining the three-dimensional (3D) analytic solution of the temperature for the multilayer heat transfer problem using Green Functions (FG), due to a transient three-dimensional thermal problem, subject to the condition of convexity on all faces. The advantage in using the FG method is that 3D problems becomes a simple multiplication of one-dimensional (1D) problems. This work not only presents the analytical solution but also its computational implementation, which allows us to better understand the physical problem. Obtaining the 3D analytical solution for the two-layer heat conduction problem in one direction requires more elaborate procedures than solving single-layer problems, both to fit the solution equation in terms of Green’s functions and to obtain Two eigenvalues. A multilayer 3D problem in one direction, in perfect contact, the problem is referred to as X33Y 3C13Z33 in (Haji-Sheikh, 2014). The temperature profile for the double-layer medium is obtained and verified the analytical solution through comparison with exact and numerical solutions of correlated and specific thermal problems.
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