Axisymmetric steady temperature field in FGM cylindrical shells with temperature-dependent heat conductivity and arbitrary linear boundary conditions

• Autorzy: Moosaie, A.
• Języki publikacji: EN

Abstrakty

EN

An approximate analytical solution to the axisymmetric heat conduction equation for a hollow cylinder made of functionally graded material with temperature-dependent heat conductivity is presented. General linear boundary conditions are considered. The Poincaré method for regular perturbation problems is employed to obtain an analytical closed-form approximate solution for the temperature field. The hierarchical asymptotic problems are solved up to the second-order approximation. A numerical example is worked out, i.e., the one-dimensional heat conduction in the radial direction with prescribed temperatures at the boundaries. The approximate temperature profiles are compared with a numerical solution of the full nonlinear problem which provides the reference “exact” solution. A good agreement between the approximate and reference solutions is established. The convergence of the asymptotic series as well as the properties of the temperature field are studied.

Słowa kluczowe

EN

heat conduction; temperature-dependent heat conductivity; functionally graded material; hollow cylinder; perturbation method

• Czasopismo: Archives of Mechanics
• Rocznik: 2015
• Tom: Vol. 67, nr 3
• Strony: 233--251
• Opis fizyczny: Bibliogr. 15 poz., rys. kolor.

Twórcy

autor

Moosaie, A.

• Department of Mechanical Engineering Yasouj University 75914-353 Yasouj, Iran,

Bibliografia

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