Abstract
An analytical study of the effects of non-uniform sizes on the growth kinetics of inert-gas bubbles in solids is presented. Assuming ideal-gas behaviour and gas-diffusion-controlled growth, it is found that for out-of-reactor conditions, the size distribution undergoes pure translation in bubble-radius space, the growth kinetics being independent of the details of the size-distribution function. On the other hand, for in-reactor growth in fissile materials, it is found that kinetic re-solution of fission gas causes any arbitrary subset of the overall size distribution to become increasingly “narrow” as bubble growth proceeds, as long as all bubbles within the subset are described by the same given kinetic behaviour.
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Markworth, A.J. Growth of inert-gas bubbles in solids; behaviour of non-uniform size distributions. J Mater Sci 7, 1225–1228 (1972). https://doi.org/10.1007/BF00550685
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DOI: https://doi.org/10.1007/BF00550685