DETERMINATION OF TEMPERATURE DEPENDENT THERMAL CONDUCTIVITY BY SOLVING IHCP IN INFINITE REGION

摘要

The determination of the temperature dependent thermal conductivity inside an infinite region with a constant linear heat source at the center is investigated. Assuming the material has a known constant thermal diffusivity, the heat conduction problem is linearised by employing the Kirchhoff transformation. The analytical solution of this inverse heat conduction problem has been developed by applying Hankel transformation and the corresponding inversion transformation. Based on the solution, the temperature dependent thermal conductivity can be obtained by measuring the temperature profile at an arbitrary space location.