Iterative analysis of a continuous system for desalination by reverse osmosis

A continuous reverse osmosis desalination system with a perfect or imperfect membrane is considered. For high Schmidt number, the velocity field is approximated by the first term of the velocity expansion near the wall. The species equation, after coordinate transformations, has been solved by an it...

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Bibliographic Details
Published in:Desalination 1971-01, Vol.9 (2), p.181-191
Main Author: Mei-Kao, Liu
Format: Article
Language:English
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Summary:A continuous reverse osmosis desalination system with a perfect or imperfect membrane is considered. For high Schmidt number, the velocity field is approximated by the first term of the velocity expansion near the wall. The species equation, after coordinate transformations, has been solved by an iterative technique. For the first-order iteration, the reverse osmosis boundary condition leads to a nonlinear Volterra integral equation. Series solutions of the integral equation for small distances from the leading edge have been obtained in terms of the operating parameters and the transverse coordinate. Although the present iterative solution is expected to be best for large axial distance, the series solutions give results accurate within 5%. Calculations for imperfect membranes have also been carried out in the present analysis. The results show that finite salt rejection has profound effect on the wall concentration, and cannot be neglected in real analysis.
ISSN:0011-9164
1873-4464
DOI:10.1016/S0011-9164(00)80028-4