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Abstract
The transient process is studied in gas centrifuge cascades for separation of multicomponent isotope mixtures. Two important practical factors, the holdups in connecting pipes among separation stages and material losses, are taken into account in the partial differential-difference equations that describe the concentration distribution of components. The equations are solved at each time step through the q-iteration method. The effects on transient processes are investigated in terms of the total holdup in cascades, the cascade cut, the separation factor, and material losses and may be very significant.
ACKNOWLEDGMENT
This research was conducted under the support of the Natural Sciences Foundation of the People's Republic of China. Support was also provided by the Fundamental Research Fund of the Department of Engineering Physics, Tsinghua University.
Notes
1Strictly speaking, the specification of F, P, and W is not completely independent of L′, because, L″ may be less than zero (Eqs. Equation1 or Equation2), and so θ is greater than 1 or a negative value if somewhere F, P, or W is too large in relation to L′. This rarely happens in practice because L′ is usually a few times larger than F, P, and W.