Optimization Studies for Gas Centrifuges

In this paper we give a brief introduction to the Onsager pancake model for the fluid dynamics of a gas centrifuge and a history of the pancake computer code. We then present a comprehensive study of separative performance using the hypothetical gas centrifuge parameters of the so-called "Iguaçu machine." In particular, we present: (a) the optimal parameters (feed, wall pressure, temperature profile, scoop drive, position of product and waste orifices) for the maximum separative power for UF 6 ; (b) study of the sensitivity for this machine of all these parameters around the optimum; (c) modeling of the scoop chamber (waste scoop) by a countercurrent flow through the chamber rather than sources/sinks; (d) general laws describing optimal parameters, such the wall pressure or position of product orifice, as functions of the speed, radius, and length; and (e) a general law for the optimum separative work. These results provide a benchmark for comparing the predictions of the pancake model with the predictions of other models.