Exact Thermal Analysis of Functionally Graded Cylindrical and Spherical Vessels

Year 2017, Volume: 9 Issue: 2, 112 - 126, 04.07.2017

Vebil Yıldırım

https://doi.org/10.24107/ijeas.318459

Cited By: 4

Abstract

Thermal
analyses of radially functionally graded (FG) thick-walled a spherical vessel and
an infinite cylindrical vessel or a circular annulus are conducted analytically
by the steady-state 1-D Fourier heat conduction theory under Dirichlet’s
boundary conditions. By employing simple-power material grading pattern the
differential equations are obtained in the form of Euler-Cauchy types.
Analytical solution of the differential equations gives the temperature field
and the heat flux distribution in the radial direction in a closed form. Three
different physical metal-ceramic pairs first considered to study the effect of
the aspect ratio, which is defined as the inner radius to the outer radius of
the structure, on the temperature and heat flux variation along the radial coordinate.
Then a parametric study is performed with hypothetic inhomogeneity indexes for
varying aspect ratios.     

Keywords

Thermal analysis; functionally graded; exact solution; axisymmetric; cylindrical vessel, spherical vessel, inhomogeneity index, aspect ratio, thick-walled

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