Green's function for heat conduction problems in a multi-layered hollow cylinder

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

Abstrakty

EN

In this paper, derivation of the Green’s function for the heat conduction problems in a finite multi-layered hollow cylinder is presented. Formulation and solution of the problem includes an arbitrary number of the cylinder layers characterized by various thermal properties. At the interfaces perfect thermal contact was assumed. The Green’s function for the three-dimensional heat conduction problems in the cylindrical coordinate has been presented in the form of a product of two other Green’s functions.

Słowa kluczowe

EN

Green's functions; heat conduction; multi-layered composite cylinder

PL

funkcja Greena; przewodnictwo ciepła

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2014
• Tom: Vol. 13, nr 3
• Strony: 115--122
• Opis fizyczny: Bibliogr. 7 poz., rys.

Twórcy

autor

Kukla S.

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

autor

Siedlecka U.

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

Bibliografia

• [1] Beck J.V., Cole K.D., Haji-Sheikh A., Litkouhi B., Heat Conduction Using Green’s Functions, Hemisphere, Washington DC 1992.
• [2] Özişik M.N., Heat Condition, second edition, John Wiley & Sons, Inc., New York 1993.
• [3] Duffy D.G., Green’s Functions with Applications, Chapman&Hall/CRC, Washington DC 2001.
• [4] Milligan K.B., Kinra V.K., Elastothermodynamic damping of fiber-reinforced metal-matrix composites, Journal of Applied Mechanics 1995, 62, 441-449.
• [5] 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.
• [6] 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.
• [7] Haji-Sheikh A., Beck J.V., Temperature solution in multi-layer bodies, International Journal of Heat and Mass Transfer 2002, 45, 1865-1877.