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A New Exact Analysis for Anisotropic Conductive Heat Transfer in Truncated Composite Spherical Shells

Published online by Cambridge University Press:  14 April 2019

M. Norouzi ,
H. Rahmani  and
A. K Birjandi
M. Norouzi*
Affiliation:
Faculty of Mechanical EngineeringShahrood University of Technology
H. Rahmani
Affiliation:
Faculty of Mechanical EngineeringAmirkabir University of Technology Tehran, Iran
A. K Birjandi
Affiliation:
Faculty of Mechanical EngineeringShahrood University of Technology Shahrood, Iran
*
*Corresponding author (mnorouzi@shahroodut.ac.ir)
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Abstract

In the present paper, a general analytical solution is proposed for anisotropic heat conduction through truncated composite spherical shells. The solution is so important in designing the spherical vessels which are usually used to store the CNG, LNG, LPG and other petroleum condensates. Herein, it is supposed that the fiber angle of composite laminate is in range of zero to 90 degrees. Heat convection with ambient flow, an external heat radiation, and a possible internal heat generation are modeled within the heat transfer equation. The exact solution is derived using the complex finite Fourier transform method. The particular solution of transferred equation is found based on the Green’s function and Sturm-Liouville theories. Finally, an inverse integral transformation is applied to form the final analytical solution in physical space. Defining four materials differing in the value of conductivity coefficient in fiber direction, the effects of used composite material and fiber angle on temperature distribution of the spherical shell are investigated in detail.

Keywords

Analytical solutionAnisotropic heat conductionTruncated composite spherical shellComposite spherical vessel
Type
Research Article
Information
Journal of Mechanics , Volume 35 , Issue 5 , October 2019 , pp. 677 - 691
Copyright
© The Society of Theoretical and Applied Mechanics 2019 

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