Technical Briefs

Transient Heat Transfer in a Partially Cooled Cylindrical Rod

[+] Author and Article Information
Lawrence Agbezuge

 Rochester Institute of Technology, Rochester, NY 14623lxaeme@rit.edu

J. Heat Transfer 131(7), 074504 (May 12, 2009) (4 pages) doi:10.1115/1.3090816 History: Received June 03, 2008; Revised January 11, 2009; Published May 12, 2009

Finite element and finite difference solutions are obtained for transient temperature distribution in a partially cooled cylindrical rod that generates heat at a uniform rate. A portion of the rod is immersed in a coolant reservoir that is maintained at constant temperature, and the exposed portion of the rod is cooled by convective heat transfer. Because thermal conductivity of the rod is temperature dependent, the governing partial differential equation is nonlinear. The analytical techniques utilized in solving the problem could be applied to analyzing the cooling of spent nuclear fuel rods. The finite difference method used to solve the problem utilizes an implicit formulation of the governing equation, and a numerical technique for handling the nonlinear terms. Validation of the numerical solution is obtained by comparing the results at a specified time against those generated by a commercial finite element software package. The computer model for the problem was used to estimate heat generation rates that could initiate meltdown of a fuel rod.

Copyright © 2009 by American Society of Mechanical Engineers
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Grahic Jump Location
Figure 1

Problem definition and FD grid set up

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Figure 2

Contour plot for temperature after 10,000 s

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Figure 3

Summary and comparison between FE and FD results



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