Application of a Green’s function method to heat conduction problems in multi-layered cylinders

• Autorzy: Siedlecka U. , Kukla S.
• Języki publikacji: EN

Abstrakty

EN

In this paper, the Green’s functions which are used in solving the heat conduction problem in a composite cylinder are derived. The functions are obtained by the solution of one dimensional eigenproblems and are presented in the form of eigenfunction series. The temperature in the cylinder as a function of time and space coordinates are expressed by the Green’s functions. A numerical example is presented.

Słowa kluczowe

EN

heat conduction; Green's functions; composite cylinder

PL

przewodnictwo ciepła; funkcja Greena

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2013
• Tom: Vol. 12, nr 3
• Strony: 105--113
• Opis fizyczny: Bibliogr. 9 poz., rys.

Twórcy

autor

Siedlecka U.

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

autor

Kukla S.

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

Bibliografia

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• [3] Garbai L., Krope J., Mehes S., Bartal I., Transient heat conduction in composite systems, Proceedings of the 4th WSEAS International Conference on Heat Transfer, Thermal Engineering and Environment, Elounda, Greece, August 21-23, 2006, 372-379.
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• [6] Özişik M.N., Heat condition, second edition, John Wiley & Sons, New York 1993.
• [7] Kukla S., Siedlecka U., Heat conduction in a two-layered hollow cylinder by Green’s function method, Journal of Applied Mathematics and Computational Mechanics 2013, 12(2), 45-50.
• [8] Grzymkowski R., Hetmaniok E., Słota D., Wykłady z modelowania matematycznego, Wydawnictwo Pracowni Komputerowej Jacka Skalmierskiego, Gliwice 2002.
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