Abstract
An example of optimization problem for the design of squared-off cascades to be incorporated in uranium enrichment plants utilizing gaseous diffusion is solved from an economic point of view, whereby minimization is obtained of the plant annual expenditure expressed in terms of simple cost functions. The equi-step squared-off cascade is studied. The salient features of such a cascade are illustrated by a comparison of the cascade performance between one aimed at minimum plant annual expenditure and one aimed at minimum total flow rate. For the first-mentioned form of optimized cascade, the influence of the stage separation factor on plant economics is studied. The discussion covers the determination of optimum waste assay, and the exponential relationship between the enrichment coefficient and plant economics. The economic considerations affecting the stage separation factor are summarized in sensitivity curves relating this factor to changes in various economic indicators.
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