Heat conduction problem in a two-layered hollow cylinder by using the Green's function method

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

Abstrakty

EN

In this paper, a solution of the heat conduction problem in a two-layered hollow cylinder by using the Green’s function method is presented. The considerations concern the heat conduction in the radial direction while taking into account time-dependent boundary conditions. The continuity condition of the temperature at the dividing surface of the layers is written in the form of a Volterra integral equation.

Słowa kluczowe

EN

heat conduction problem; two-layered cylinder; Green's function method

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2013
• Tom: Vol. 12, nr 2
• Strony: 45--50
• Opis fizyczny: Bibliogr. 6 poz., rys.

Twórcy

autor

Kukla S.

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

autor

Siedlecka U.

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

Bibliografia

• [1] Nezhad Y.R., Asemi K., Akhlaghi M., Transient solution of temperature field in functionally graded hollow cylinder with finite length using multi-layered approach, International Journal of Mechanics and Materials in Design 2011, 7, 71-82.
• [2] 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.
• [3] Lu X., Tervola P., Viljanen M., Transient analytical solution to heat conduction in composite circular cylinder, International Journal of Heat and Mass Transfer 2006, 49, 341-348.
• [4] Beck J.V., Cole K.D., Haji-Sheikh A., Litkouhi B., Heat Conduction Using Green’s Functions, Hemisphere, Washington DC, 1992.
• [5] Haji-Sheikh A., Beck J.V., Temperature solution in multi-dimensional multi-layer bodies, International Journal of Heat and Mass Transfer 2002, 45, 1865-1877.
• [6] Grzymkowski R., Hetmaniok E., Słota D., Wykłady z modelowania matematycznego, Wydawnictwo Pracowni Komputerowej Jacka Skalmierskiego, Gliwice 2002.