Exact Transient Heat Conduction of Functionally Graded Thick Structures

[ X ]

Tarih

2024

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Pleiades Publishing Inc

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

Closed form solution of the transient thermal analysis in functionally graded cylindrical and spherical bodies under different thermal loads are presented. It is assumed that the material properties change according to the different inhomogeneity parameters according to the power-law in the radial direction. In the partial differential equation obtained under these conditions, the time dependence is eluted with the Laplace transform and transformed into Bessel differential equation in Laplacian space. This equation, which is solved with Bessel functions in Laplacian space, is transformed into physical space with the modified inverse Durbin method. Behaviors of cylindrical and spherical bodies under constant, convective and time-dependent boundary conditions are investigated. Besides, it is aimed to obtain benchmark solutions for these structures to the literature.

Açıklama

Anahtar Kelimeler

Thermal-Stress Analysis, Hollow Cylinder, Temperature

Kaynak

Journal of Engineering Thermophysics

WoS Q Değeri

Q3

Scopus Q Değeri

Q3

Cilt

33

Sayı

2

Künye