Radial heat conduction in a multilayered sphere

• Autorzy: Siedlecka U.
• Języki publikacji: EN

Abstrakty

EN

In this paper, an exact analytical solution of the radial heat conduction problem in a hollow multilayered sphere is presented. The boundary conditions of the third kind and perfect contact at the interfaces are assumed. The temperatures are obtained by using the Green’s function method. The Green’s functions are expressed in the form of the series of appropriate eigenfunctions.

Słowa kluczowe

EN

Green's functions; heat conduction; multilayered hollow sphere

PL

funkcja Greena; przewodnictwo ciepła

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2014
• Tom: Vol. 13, nr 4
• Strony: 109--116
• Opis fizyczny: Bibliogr. 5 poz., rys.

Twórcy

autor

Siedlecka U.

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

Bibliografia

• [1] Pawar S.P., Deshmukh K.C., Kedar G.D., Effect of generation on quasi-static thermal stresses in a solid sphere, IOSR Journal of Mathematics 2013, 7, 5, 21-29.
• [2] Singh S., Analytical solution of the time-dependent multilayered heat conduction problems for nuclear applications, Proceedings of the 1st International Nuclear and Renewable Energy Conference 2010, 1-6.
• [3] Lu X., Viljanen M., An analytical method to solve heat conduction in layered spheres with time-dependent boundary conditions, Physics Letters A 2006, 351, 274-282.
• [4] Beck J.V., Cole K.D., Haji-Sheikh A., Litkouhi B., Heat Conduction Using Green’s Functions, Hemisphere, Washington, DC 1992.
• [5] Özişik M.N., Heat Condition, second edition, John Wiley & Sons, Inc., New York 1993.