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International Heat Transfer Conference 15

ISSN: 2377-424X (online)
ISSN: 2377-4371 (flashdrive)

A Non-Intrusive Inverse Problem Technique for the Identification of Contact Failures in Double-Layered Composites

Luiz A.S. Abreu
Federal University of Rio de Janeiro, PEM-COPPE

Carlos J.S. Alves
Technical University of Lisbon

Marcelo Jose Colaco
Department of Mechanical Engineering, POLI/COPPE, Federal University of Rio de Janeiro, Cid. Universitária, Cx. Postal 68503, Rio de Janeiro, 21941-972 Brazil

Federal University of Rio de Janeiro

DOI: 10.1615/IHTC15.inv.009532
pages 4521-4531

KEY WORDS: Inverse problems, Computational methods, Thermal contact conductance, Contact failures


This paper deals with the solution of an inverse heat conduction problem of identifying the interface thermal contact conductance between layers of double-layered composite materials. Thermal contact conductance is very important in many heat transfer applications, such as electronic packaging, nuclear reactors, aerospace and biomedicine among others. In electronic equipment, an important factor to consider when removing the large amount of heat involved is to have a low thermal contact resistance between the and the cooling devices. The inverse problem in this paper is formulated in terms of a reciprocity functional approach, together with the method of fundamental solutions. The solution is composed of two steps. In the first step, two steadystate auxiliary problems, which do not depend on the thermal conductance variation, are solved. With the results of this pre-processing, different thermal conductances can be recovered by simply performing an integration procedure, making the technique computationally very fast. The solution of the inverse problem is evaluated with simulated temperature measurements, supposedly taken with large spatial resolution and large frequency, by using an infrared camera. This paper is an extension of a methodology previously developed by the authors. In the previous paper, the auxiliary problems were formulated in terms of Cauchy problems, whereas in this paper the technique is reformulated to avoid such Cauchy problems, which are intrinsically ill-posed.

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