Eventos Anais de eventos
ENCIT 2022
19th Brazilian Congress of Thermal Sciences and Engineering
THERMAL CONTACT CONDUCTANCE ESTIMATION USING THE RECIPROCITY FUNCTIONAL AND AN ORTHOGONAL DECOMPOSITION FOR THE MEASUREMENTS
Submission Author:
Matheus de Abreu Monteiro Campos , RJ
Co-Authors:
Matheus de Abreu Monteiro Campos, Gabriel Lisbôa Verissimo, Marcelo Colaco
Presenter: Matheus de Abreu Monteiro Campos
doi://10.26678/ABCM.ENCIT2022.CIT22-0211
Abstract
Heat transfer between two solids in contact is a problem of great interest, appearing in many practical situations in diverse fields such as electronics, nuclear, aerospace, and biomedical engineering. In actual applications, the contact between the bodies is not perfect, leading to a discontinuity in temperature and affecting the heat flux in the interface between them. An approach to this problem is to consider that there is a thermal contact conductance in the interface of the bodies and defining it as the ratio between heat flux and the temperature jump in this region. The thermal contact conductance estimate turns out to be both an important and challenging task, and inverse problem techniques seem to be very useful to solve it. A previous methodology has been developed applying the Reciprocity Gap Functional which involves the solution of a set of auxiliary problems, and use their results to perform an integral to find the thermal contact conductance. There are many options to solve the auxiliary problems, both numerical and analytical. The Classical Integral Transform Method is a suitable technique, and it is capable to generate an analytical solution to the estimation problem. Combining the Reciprocity Gap Functional and the Classical Integral Transform Method leads to a non-intrusive and non-iterative analytical method that can estimate the thermal contact conductance using some temperature measurements taken on the exterior surface of the bodies at a low computational cost. Further improvements can be made in the methodology leading to simpler solutions in the estimation and making it easier to analyze solutions convergence conditions. To achieve it, we propose in this work to decompose the temperature measurements in a proper orthogonal base, which may simplify even more the previously presented technique.
Keywords
Inverse problems, Reciprocity function, Thermal Contact Resistance
