Transient diffusion through a spherical shell into its finite spherical core. [HTGR] [electronic resource]

The problem of the diffusion of gas through a spherical shell into its spherical core is solved by using the Laplace transform technique. The transformed solution is obtained and then inverted to the corresponding solution in real space. This real space solution is slowly converging for small times....

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Bibliographic Details
Online Access: Online Access
Corporate Author: Oak Ridge National Laboratory (Researcher)
Format: Government Document Electronic eBook
Language:English
Published: Oak Ridge, Tenn. : Oak Ridge, Tenn. : Oak Ridge National Laboratory. ; distributed by the Office of Scientific and Technical Information, U.S. Dept. of Energy, 1979.
Subjects:

MARC

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520 3 |a The problem of the diffusion of gas through a spherical shell into its spherical core is solved by using the Laplace transform technique. The transformed solution is obtained and then inverted to the corresponding solution in real space. This real space solution is slowly converging for small times. Therefore, an alternate expression is obtained that is appropriate and more rapidly convergent for small times. As an example, the first solution is used to calculate the theoretical gas content of the core of High-Temperature Gas-Cooled Reactor (HTGR) biso-coated fuel particles from fuel-particle batch OR2261/HT after 850°C anneals in helium. 
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