Research Article | OPEN ACCESS
Solution of Two-dimensional Transient Heat Conduction in a Hollow Sphere under Harmonic boundary condition
M.A. Abdous and N. Moallemi
Department of Mechanical Engineering, Jask Branch, Islamic Azad University, Jask, Iran
Research Journal of Applied Sciences, Engineering and Technology 2014 21:4396-4403
Received: August 29, 2012 | Accepted: October 09, 2012 | Published: June 05, 2014
Abstract
In this study, an analytical modeling of two dimensional heat conduction in a hollow sphere, subjected to time dependent periodic boundary condition at the inner and the outer surfaces, is performed. The thermo physical properties of the material are assumed to be isotropic and homogenous. Also, the effects of the temperature oscillations frequency on the boundaries, the thickness variation of the hollow sphere and thermo physical properties of the ambient and the sphere involved in some dimensionless numbers are studied. The results show that the obtained temperature distribution contains two characteristics, the dimensionless amplitude and the dimensionless phase difference. Comparison between the present results and the findings of the previous study as related to a two-dimensional solution of the hollow sphere subjected to the simple harmonic condition shows a good agreement.
Keywords:
Convective heat transfer, fourier transforms, sphere, transient heat conduction,
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Competing interests
The authors have no competing interests.
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This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
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The authors have no competing interests.
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