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

• Autorzy: Kucypera S.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

control volume method; discrete mathematical model; Inverse hybrid method; thermal properties of solids

PL

dyskretny model matematyczny; metoda hybrydowa; własności cieplne ciał stałych

• Wydawca: Wydawnictwo Instytutu Maszyn Przepływowych PAN ; Komitet Termodynamiki i Spalania PAN
• Czasopismo: Archives of Thermodynamics
• Rocznik: 2008
• Tom: Vol. 29, no. 4
• Strony: 73--86
• Opis fizyczny: Bibliogr. 7 poz.,rys., tab., wz.,

Twórcy

autor

Kucypera S.

• Politechnika Śląska, Instytut Techniki Cieplnej, ul. Konarskiego 22,44-100 Gliwice

Bibliografia

• [1] BECK J. V., ARNOLD K.: Parameter Estimation in Engineering and Science, Wiley, New York 1977.
• [2] KUCYPERA S.: Determination of thermo-physical parameters of ortotropic materials using the inverse thermal conduction problem, Proc. of XIIIth Symposium on Heat and Mass Transfer, Koszalin-Darłówko 2007, Vol. 2, 633-640 (in Polish).
• [3] MEJIAS M.M., ORLANDE H. R., ÖZISIK M. N.: Effects of the heating process and body dimensions on the estimation of the thermal conductivity components of ortotropic solids, Inverse Problem in Engineering, 2003, 11, No 1, 75-89.
• [4] MOULTANOVSKY A.V., REKADA M.: Inverse heat conduction problem approach to identify the thermal characteristics of super-hard synthetic materials, Inverse Problems in Engineering, 2002, 10, No 1, 19-39.
• [5] MZALI F., ALABOUCHI F., NASRALLAH S., PETIT D.: Optimal experiment design and thermo-physical characterisation of a plastically deformed solid, Inverse Problems, Design and Optimization Symposium, Miami, Floryda, USA, April 16-18, 2007.
• [6] ÖZISIK M. N., ORLANDE H. R.: Inverse Heat Transfer, Taylor & Francis, New York 2000.
• [7] IMSL Math Library Version in Compaq Visual FORTRAN, 2003.