A Coupled 0D-1D Model for Hybrid Heat Transfer Measurements

Abstract

This paper covers the discovery, development, and preliminary application of an improved model to address errors associated with transient heat transfer experiments which also include the application of lumped capacitance. Previous studies using Transient TLC methods typically omit featured areas from the heat transfer calculations; by applying TLC underneath lump-able features it is possible to calculate the heat transfer with a lumped capacitance model. In utilizing lumped capacitance, the heat loss into the surface underneath the lumped features was previously erroneously unaccounted for. In this paper, the original hybrid heat transfer technique is discussed in detail. The erroneous assumptions are highlighted and an improved model is then derived. Results from previous experiments are then recalculated using the improved model to demonstrate the difference in the calculated heat transfer coefficients in a practical experiment and to demonstrate the importance of accounting for the heat conducted through the substrate in the hybrid heat transfer technique.