Measurement of thermal conductivity using 2D inverse heat conduction problem approach by identifying simultaneously the heat dissipation phenomena

Abstract

Various methods for measuring thermal conductivity have been applied under both steady-state and transient conditions. A challenge in thermal conductivity measurement lies in accurately identifying the heat dissipated to the environment. This inaccuracy affects the calculation of a material's thermal conductivity. To address this challenge, a method based on a two-dimensional inverse heat conduction problem (2D IHCP) was developed to simultaneously evaluate the thermal conductivity of the material and determine the heat dissipation coefficient. So that, prior characterization of heat dissipation is no longer required. Compared to conventional measurement techniques, the advantage of this new method is improved measurement precision, as it can eliminate potential inaccuracies in identifying heat loss to the surroundings. This method proposes an algorithm for simultaneously determining thermal conductivity and the dissipation coefficient. The experimental validation using titanium plate material produced relatively satisfactory results, with deviations below 11.3 %. There is a tendency that the higher the applied heater power, the closer the predicted thermal conductivity of titanium approaches the vendor's reference value. The current research is limited to steady-state problems in two-dimensional thin plates.