Applicable range of inverse solution for unsteady heat conduction

(Effect of thermal property on predicted surface heat flux)

Abstract

Monde et al. [1-7] had proposed an inverse heat conduction solution from which a surface temperature and heat flux can be accurately estimated using the temperatures measured at different positions in a solid. Recently, in the case that a surface temperature and heat flux quickly change under the condition that a high temperature material is suddenly cooled by a liquid, the estimated heat flux seems to become lower than the corresponding actual heat flux. In addition, the estimated values are strongly influenced by their thermal properties. In the present study, we numerically generate the temperatures at a couple of different positions from the exact solution for a given surface heat flux. Using these temperatures, we can estimate the surface heat flux by applying the inverse heat conduction solution. It is found that the estimated values are strongly influenced by the measuring positions and the time during which the heat flux changes. We firstly define an applicable limit in which the inverse solution correctly reproduces the given value and then makes it clear how the thermal properties and the measuring positions influence on the estimated heat flux.