Abstract

A set of equations describing the hydriding of solid pieces of uranium is presented, together with an approximate solution of the equations. The solution predicts a constant velocity of the spall front in the solid piece, which leads to a constant value of weight gain rate (or other measure of the extent of the hydriding reaction) for a portion of the duration of the measurement. The solution allows calculation of the spall front velocity, and thus of the constant reaction rate, from expressions that are closed-form with the exception of one simple numerical integration. Expressions are given for all the parameters needed to calculate reaction rates for well annealed samples of uranium. Calculated reaction rates are compared with published data taken at a hydrogen pressure of 1.0 atm. The calculated results match the data quite well.

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