Abstract
Rony's extent of separation ξ is useful to characterize the quality of separation of a binary feed that occurs in membrane stages, membrane modules and cascades. The stage extent of separation, ξ i , has a maximum value for a specified stage separation factor, α i . The ideal cascade design requires a minimum total interstage flow compressor duty, and membrane area to make a specified overall separation. It is shown that ξ i has the maximum value at each stage in an ideal membrane cascade composed of ideal perfect-mix stages. This is also true in a “properly designed” no-mix cascade composed of crossflow stages. This suggests that ξ is a basic separation index.
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