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Estimation of temperature dependent thermal conductivity - steady state problem

Majchrzak E.

Zeszyty Naukowe. Mechanika / Politechnika Opolska

2006

z. 88

235-240

In the paper the application of the BEM for numerical solution of the inverse parametric problem is presented. On the basis of the knowledge of temperature field in the domain considered the temperature dependent thermal conductivity is identified. The steady state is considered and 2D problem is solved using the least squares criterion in which the sensitivity coefficients appear.

Numerical solution of the inverse parametric problem using the boundary element method

Majchrzak E., Freus K.

Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej

2002

Vol. 1, nr 1

125--132

In the paper the application of the boundary element method for numerical solution of the inverse parametric problem is presented, this means the temperature dependent thermal conductivity is identified. The thermal conductivity of the material appears in the fundamental Fourier law and also in the basic energy equation (the Kirchhoff-Fourier equation). This parameter is determined on the basis of physical experiments. The numerical identification of the thermal conductivity is possible on the basis of the knowledge of temperature field in the\ domain considered.