Abstract

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 H ankel 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

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