Analytical Non-Intrusive Technique to Estimate Thermal Contact Conductances in Double Layered Materials by Combining the Reciprocity Functional and the Integral Transform Approaches

Ricardo Padilha¹; Marcelo Colaço¹

¹ Federal University of Rio de Janeiro

doi:10.20906/CPS/COB-2015-2704

Resumo

Many processes in engineering require the complete knowledge of the interactions that occurs between different materials. One of these interactions is related to the heat transfer process in the contacting interface (Γ) between two materials (Ω1 and Ω2), where a temperature discontinuity is verified. The physical characteristic of this interface is the existence of a gap between the materials, which induces an additional resistance to the heat flow. This type of heat flow resistance is known as thermal contact resistance, or its reciprocal, the thermal contact conductance (h). Colaço and Alves [1] used the reciprocity functional approach to solve an inverse heat transfer problem to estimate the spatial distribution of h, by using temperature measurements taken on an external surface (Γ0). In this paper, we propose an analytical version of the method developed previously [1], where the estimate can be performed in a fraction of second. Moreover, the resultant method is fully non-intrusive and does not rely on any iterative techniques. Reference [1] Colaço, M.J. and Alves, J.S., "A Fast Non-Intrusive Method for Estimating Spatial Thermal Conductivity by Means of the Reciprocity Functional Approach and the Method of Fundamental Solutions", International Journal of Heat and Mass Transfer, v. 60, p. 653-663, 2013.

Palavras-chave: Inverse Problems; Reciprocity Functional; Non-Intrusive Technique; Non-Iterative Technique