Eventos Anais de eventos
ENCIT 2016
16th Brazilian Congress of Thermal Sciences and Engineering
Conjugate Heat Transfer with Composite Material Solution by Integral Transformation
Submission Author:
Daniel Chalhub , RJ
Co-Authors:
Apoena Lanatte de Oliveira Calil, Rodrigo Souza de Moura Rodrigo , Lucas Coelho
Presenter: Daniel Chalhub
doi://10.26678/ABCM.ENCIT2016.CIT2016-0669
Abstract
There is a growing interest for applications of heat and mass transfer in orthotropic ducts. As a result, several numerical and experimental studies related to transport phenomena in such materials have been proposed. In the realm of simulation studies for heat transfer in composite ducts, this paper proposes a comparison between hybrid solution strategies for solving the conjugate heat transfer in an axisymmetric duct made of an orthotropic material, which mechanical properties are different in three main directions, where there is also an internal flow. The final result will be the analysis of temperature distribution for this case and the Nusselt number analysis. The formulation to be employed is the Integral Transform Technique which in the realm of analytical and hybrid analytical-numerical methods, has been playing a big role. It deals with expansions of the sought solution in terms of infinite orthogonal basis of eigenfunctions, keeping the solution process always within a continuous domain. The resulting system is generally composed of a set of uncoupled differential equations which can be solved analytically. However, a truncation error is involved since the infinite series must be truncated to obtain numerical results. This error decreases as the number of summation terms (truncation order) is increased, and the solution converges to a final value. Due to the series representation nature of the Integral Transform Technique, the estimated error can be easily obtained, which results in better global error control of the solution. The disadvantage associated with this approach is the need for more elaborate analytical manipulation. This effort can be greatly minimized with the use of symbolical computation. A classic second order Finite Differences Method (FDM) is also developed in this work in order to validate and compare the results. In numerical analysis, Finite Difference Methods are numerical methods for solving differential equations by approximating them with difference equations, in which finite differences approximate the derivatives. Thus, Finite Differences Method is a discretization approach to solve differential equations. Nowadays, Finite Differences Methods are the dominant approach to numerical solutions of partial differential equations in the literature.
Keywords
conjugate heat transfer, Integral Transforms, Orthotropic conduction
