Identification of boundary heat flux using sequential and global function specification methods and FDM algorithm

• Autorzy: Lara-Dziembek S. , Pawlak E.
• Języki publikacji: EN

Abstrakty

EN

In the paper the global function specification method is used for identification of the time dependent boundary heat flux on the external boundary of the domain considered. The additional information necessary to solve an inverse problem results from the knowledge of heating (cooling) curves at points selected from the interior of the domain. The mathematical model of thermal processes proceeding in the system is based on the Fourier equation. As an example, a 1D problem is considered, but generalization of the algorithm on 2D or 3D problems is not complicated. At the stage of the numerical solution of a direct problem and an additional one, the finite difference method has been applied.

Słowa kluczowe

EN

global function; boundary heat flux; finite difference method

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2011
• Tom: Vol. 10, nr 1
• Strony: 139--144
• Opis fizyczny: Bibliogr. 9 poz., rys.

Twórcy

autor

Lara-Dziembek S.

autor

Pawlak E.

• Institute of Mathematics, Czestochowa University of Technology, Poland,

Bibliografia

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• [4] Beck J.V., Blackwell B., Clair Ch.R.S., Inverse Heat Conduction, Ill-Posed Problems, J. Wiley and Sons, New York 1985.
• [5] Majchrzak E., Mochnacki B., Suchy J.S., Estimation of boundary heat flux between casting and mould using the global function specification method, Archives of Foundry Engineering 2008, 8, 1, 193-198.
• [6] Majchrzak E., Janisz D., Kałuża G., Freus K., Identification of the boundary condition on the skin surface subjected to external heat source, Int. J. of Engineering Modeling 2004, 17, 1-2, 33-39.
• [7] Majchrzak E., Freus K., Mendakiewicz J., Identification of boundary heat flux using the global function specification method, Scientific Research of the Institute of Mathematics and Computer Science 2005, 1(4), 147-156.
• [8] Mochnacki B, Suchy J.S., Numerical Methods in Computations of Foundry Processes, PFTA, Cracow 1995.
• [9] Janisz D., Doctoral Theses, Silesian University of Technology, Gliwice 2004.