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An analytical method to estimate spatially-varying thermal contact conductances using the reciprocity functional and the integral transform methods Theory and experimental validation.pdf
International Journal of Heat and Mass Transfer 100 (2016) 599–607
Contents lists available at ScienceDirect
International Journal of Heat and Mass Transfer
journal homepage: /locate/ijhmt
An analytical method to estimate spatially-varying thermal contact conductances using the reciprocity functional and the integral transform methods: Theory and experimental validation
Ricardo S. Padilha a, Marcelo J. Cola?o a,?, Helcio R.B. Orlande a, Luiz A.S. Abreu b
a Department of Mechanical Engineering (PEM/COPPE), Federal University of Rio de Janeiro (UFRJ), Cx. Postal 68503, Rio de Janeiro, RJ 21941-972, Brazil b Department of Mechanical Engineering and Energy, Rio de Janeiro State University (UERJ/IPRJ), Rua Bon?m, 25, Vila Amélia, Nova Friburgo, RJ 28625-570, Brazil
article info
Article history: Received 8 December 2015 Received in revised form 1 April 2016 Accepted 16 April 2016 Available online 13 May 2016
Keywords: Inverse heat transfer problem (IHTP) Reciprocity functional Classical integral transform technique (CITT) Thermal contact conductance
abstract
The increasingly interest in using composite materials in engineering application requires the proper knowledge of the interaction that occurs between their layers. One of these interactions is related to the temperature jump and heat ?ux through the interface of different materials, known as thermal contact resistance, or its reciprocal, the thermal contact conductance. Methods to estimate thermal contact resistance usually require temperature measurements taken inside the sample (test body) and complicated experimental arrangements. In this work we propose an analytical, non-iterative and non-intrusive method to solve an inverse heat transfer problem in order to estimate a onedimensional steady-state distribution of the thermal contact conductance, combining the reciprocity functional and the Classical Integral Transform Technique (CITT). This paper is an extension of our previous works, where the solution procedure
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