Eventos Anais de eventos
COBEM 2017
24th ABCM International Congress of Mechanical Engineering
Heat conduction analysis in layered media with adhesive defect via single domain formulation, integral transforms and finite difference
Submission Author:
Diego Knupp , RJ , Brazil
Co-Authors:
Fabricio Mascouto, Luiz A. S. Abreu, Emerson de Lima Sanches, Leandro Alcoforado Sphaier, Diego Knupp
Presenter: Fabricio Mascouto
doi://10.26678/ABCM.COBEM2017.COB17-0516
Abstract
This work addresses the hybrid numerical-analytical solution of heat conduction in multilayered media by means of a single domain formulation, integral transforms and finite difference. The basic idea is to incorporate different materials into space variable coefficients with abrupt transitions, representing different subdomains of the original problem. The Classical Integral Transform Technique is then employed and the problem solution is written as an expansion in terms of eigenfunctions obtained from an eigenvalue problem with space variable coefficients. In order to solve this eigenvalue problem, the finite difference method with a second-order accurate scheme is employed. As illustration, the heat conduction problem in a multilayered pipe is considered, including the analysis of a defect due to the lack of adhesive between the layers. A purely numerical solution via the finite element method is also implemented with the Comsol Multiphysics CFD solver in order to allow for critical comparisons and coverification.
Keywords
Single Domain Formulation, Integral Transforms, Layered Media, Finite Difference Method, Hybrid Methods
