Identification of Temperature Dependent Thermal Conductivity Using The Bed

The thermal conductivity of the material is the very essential thermophysical parameter appearing in the fundamental Fourier law and also in the basic energy equation (the Kirchhoff-Fourier equation). This parameter can be treated as a constant value but, as a rule, it is the temperature dependent function. The thermal conductivity is determined on the basic of physical experiments. From the mathematical point of view the identification of this parameter on the basis of the knowledge of temperature field in the domain considered belong to the group of the parametric inverse problems (1). In this paper the numerical algorithm of the discussed parameter identification is presented.