# Transient Heat Conduction with a Nuclear Heat Source

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Consider a spherical nuclear fuel element consisting of a sphere of fissionable material of radius , surrounded by a spherical shell of alloy cladding with outer radius , initially at temperature , that is suddenly immersed at in a cooling bath of temperature . The heat equation describing this system is:

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Contributed by: Clay Gruesbeck (January 2017)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

A similar steady-state problem is solved in [1].

Reference

[1] R. B. Bird, W. E. Stewart and E. N. Lightfoot, *Transport Phenomena*, rev. 2nd ed., New York:* *John Wiley & Sons, Inc., 2007.

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