A Backward Reciprocity Function Approach to the Estimation of Spatial and Transient Thermal Contact Conductance in Double-Layered Materials Using Non-Intrusive Measurements

Abstract

This paper presents a computationally fast methodology for the estimation of spatial and transient unknown thermal contact conductance between sandwiched materials, using non-intrusive measurements. The methodology is formulated in such a way that the spatial and temporal variations of the unknown function are obtained simply by solving a linear system, whose solution vector is composed of integrals containing measured temperatures and known heat fluxes applied at an external boundary. Good estimates are obtained, even for functions containing discontinuities in both time and space. Simulated measurements with and without errors are considered, showing very good results.