Determination of surface conditions from internal temperature measurement at selected points

• Autorzy: Al-Khalidy N. , Skorek J.
• Języki publikacji: EN

Abstrakty

EN

This paper examines the accuracy of a space marching formulation for solving two-dimensional inverse heat conduction problems. The parameters that have a major influence on the solution such as time step size, measurement errors and Biot number are investigated. The temperature and heat flux on the surface of a body are estimated on the base of the temperature measurement at a number of sensors located inside the body. The initial condition is assumed to be unknown. The solution is presented in terms of temperature data and their derivatives with respect to time.

Słowa kluczowe

EN

two-dimensional boundary inverse heat conduction problem; digital filter method; control volume method; derivative methods

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 1998
• Tom: Vol. 46, nr 1
• Strony: 73--84
• Opis fizyczny: Bibliogr. 10 poz., 6 rys., 2 tab.

Twórcy

autor

Al-Khalidy N.

autor

Skorek J.

• Institute of Thermal Technology, Technical University of Silesia, Konarskiego 22, 44-101 Gliwice, Poland.

Bibliografia

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• [2] O. Burggraf, An exact solution of the inverse problem in heat conduction theory and applications, ASME J. Heat Transfer, 86c (1964) 373-382.
• [3] A Temkin, Inverse methods in heat conduction, Energia, Moscow, USSR 1973.
• [4] D. Langford, New analytical solutions of the one-dimensional heat equation for temperature at heat flow rate both prescribed at the same fixed boundary, Appl. Math., 4 (1976) 315-322.
• [5] K. Kurpisz, Numerical solution of one case of inverse heat conduction problem, ASME J. Heat Transfer, 113 (1991) 280-286.
• [6] J. Skorek, Solution of the inverse heat conduction problems applying eigenvalue technique, Inverse problems in Engineering Mechanic, Tanaka et al (eds.), France, Paris 1994
• [7] J. Taler, W. Zima, Solution of multidimensional inverse heat conduction problem using control volume approaches, Symposium in Heat and Mass Transfer, 2 (1995) 358-368, Poland
• [8] G. Korn, T. Korn, Mathematical handbook, McGraw-Hill, New York 1968.
• [9] J. Taler, Theory and practical identification of heat transfer process (in Polish), Ossolineum Publication, Wroclaw, Poland 1995.
• [10] N. Al-Khalidy, A control volume formulation of ill posed inverse heat conduction problems, Bull. Pol. Ac.: Tech, 46 (1998).