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Identification of thermal properties of solids by means of inverse hybrid method and measurement data

Kucypera S.

Archives of Thermodynamics

2008

Vol. 29, no. 4

73-86

The aim of the paper is to combine the Levenberg-Marquardt method, optimal dynamic filtration method and measurement data for the simultaneous identification of the thermal properties or their temperature characteristics of anisotropic solids. The idea of the proposed method depends on measuring the time-dependent temperature distribution at selected points of the sample and identification of the thermal parameters (heat conductivity and specific heat) by solving a transient inverse heat conduction problem. To obtain the optimal experiment the series tests have been carried out by means of numerical simulations. The investigated system which was used for the identification of thermal parameters consists of two cylindrical samples, in which transient temperature field is forced by the electric heater located between them. The temperature response of the system is measured in the chosen point of the sample. Two dimensional discrete mathematical model of the transient heat conduction within the investigated sample has been formulated basing on the control volume method. The hybrid method as solution of inverse problem has been applied to identify unknown parameters. The chosen results have been presented in the paper.

Identification of thermal properties of solids by means of solving the inverse problem using evolutionary algorithms and optimal dynamic filtration

Kucypera S.

Computer Assisted Mechanics and Engineering Sciences

2007

Vol. 14, No. 4

665-672

The aim of the paper is to combine the evolutionary algorithms method, optimal dynamic filtration method and measurement data for the simultaneous identification of the thermal properties or their temperature characteristics of anisotropic solids. The idea of the proposed method depends on measuring the time-dependent temperature distribution at selected points of the sample and identification of the thermal parameters (heat conductivity and specific heat) by solving a transient inverse heat conduction problem. In the paper the discrete mathematical model has been formulated basing on the control volume method. The inverse problem was solved by using a hybrid method. Information about measurement data which are necessary to solve the inverse heat conduction problem was obtained by solving the direct heat conduction problem. The chosen results of analysis have been presented.