With a view to ensuring more logical application to the
cascade
theory of centrifuges, the separative factor N'(1-N)/N(1-N'), currently adopted in such studies, is replaced by a "separative coefficient", defined by α=N'/N (N being the mole fraction of
235U). Using this coefficient, equations expressing the distributions of flow and of isotope concentration are obtained from the material balance relations. Several other equations, applicable to the ideal
cascade
, giving the separative power and expressing the value function are also derived.
These equations are then utilized in the consideration of control problems, such as the influence of loss and cut, and the treatment of reflux and of product withdrawal from stages other than the top. Simulation of an actual
cascade
for uranium isotope separation by centrifugation is undertaken with use made of the Monte Carlo method, assuming that losses, cuts, separative coefficients and the feed flow are normally distributed with certain mean values and variances. he mean values of the separative coefficients are assumed to satisfy the equations for a single centrifuge (separative coefficients being functions of flow). The influence of fluctuations in time is taken into account.
The analysis proves that provided the separating units work as prescribed by theory, operation of the centrifuge
cascade
should not be difficult, since no necessity is indicated for strict control, while at the same time product concentration could be adjusted to a certain extent, and moreover the
cascade
would not be sensitively affected by losses.
抄録全体を表示