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Technical Briefs

Analytical Solution for Heat Conduction Near an Encapsulated Sphere With Heat Generation

[+] Author and Article Information
Douglas L. Oliver

Mechanical Engineering, University of Toledo, Toledo, OH 43606

J. Heat Transfer 130(2), 024502 (Feb 04, 2008) (4 pages) doi:10.1115/1.2789717 History: Received October 24, 2006; Revised May 17, 2007; Published February 04, 2008

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Copyright © 2008 by American Society of Mechanical Engineers
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Figures

Grahic Jump Location
Figure 1

Θ1(τ) for several values of C at moderate times. The “+” symbol represents the predictions of Eq. 21 for C=30. (The steady-state value of Θ is 1∕3.)

Grahic Jump Location
Figure 2

Θ2(r,τ) with r=2 for several values of C. (The steady-state value of Θ is 1∕6.)

Grahic Jump Location
Figure 3

Θ1(τ) for several values of C at large times. The “+” symbol represents the predictions of Eq. 21 for C=300.

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