NDLI: Analysis of Transient Heat Conduction in a Hollow Sphere Using Duhamel Theorem

Content Provider	Springer Nature Link
Author	Abdous, Mohammad A. Barzegar Avval, Hasan Ahmadi, Pouria Moallemi, Nima Dincer, Ibrahim
Copyright Year	2011
Abstract	In this article, analytical modeling of two-dimensional heat conduction in a hollow sphere is presented. The hollow sphere is subjected to time-dependent periodic boundary conditions at the inner and outer surfaces. The Duhamel theorem is employed to solve the problem where the periodic and time-dependent terms in the boundary conditions are considered. In the analysis, the thermophysical properties of the material are assumed to be isotropic and homogenous. Moreover, the effects of the temperature oscillation frequency, the thickness variation of the hollow sphere, and thermophysical properties of the sphere are studied. The temperature distribution obtained here contains two characteristics, the dimensionless amplitude (A) and the dimensionless phase difference ( $${\varphi}$$ ). Moreover, the obtained results are shown with respect to Biot and Fourier numbers. Comparison between the present results and the findings from a previous study for a hollow sphere subjected to the reference harmonic state show good agreement.
Starting Page	143
Ending Page	159
Page Count	17
File Format	PDF
ISSN	0195928X
Journal	International Journal of Thermophysics
Volume Number	33
Issue Number	1
e-ISSN	15729567
Language	English
Publisher	Springer US
Publisher Date	2011-12-15
Publisher Place	Boston
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Fourier series Hollow sphere Periodic boundary condition Transient heat conduction Industrial Chemistry/Chemical Engineering Condensed Matter Physics Physical Chemistry Mechanics
Content Type	Text
Resource Type	Article
Subject	Condensed Matter Physics

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