CLOSED FORM SOLUTION FOR CONCENTRATION POLARIZATION IN REVERSE OSMOSIS MEMBRANES.

M. A. Ghazi, K. A. Fathallah, M. A. Darwish, M. M. Elsayed

Research output: Contribution to journalArticle

Abstract

Concentration polarization over a flat plate reverse osmosis membrane is studied analytically. Continuity and momentum equations are solved for a fully developed flow over a flat plate permeating water. The solution is then substituted into the diffusion which governs the concentration distribution for such flow. Separation of variables technique is used to obtain a closed form solution for concentration distribution in terms of Bessel functions of both the first and second kind (Weber's function). This solution is useful in designing reverse osmosis systems using both sea and brackish water as well as similar physical problems.

Original languageEnglish
Pages (from-to)133-141
Number of pages9
JournalProceedings of the International Symposium on Fresh Water from the Sea
Volume2
Publication statusPublished - 1 Dec 1980
Externally publishedYes

Fingerprint

Osmosis membranes
Reverse osmosis
polarization
Polarization
membrane
Bessel functions
brackish water
Water
momentum
Momentum
seawater
reverse osmosis
water
distribution

ASJC Scopus subject areas

  • Engineering(all)

Cite this

CLOSED FORM SOLUTION FOR CONCENTRATION POLARIZATION IN REVERSE OSMOSIS MEMBRANES. / Ghazi, M. A.; Fathallah, K. A.; Darwish, M. A.; Elsayed, M. M.

In: Proceedings of the International Symposium on Fresh Water from the Sea, Vol. 2, 01.12.1980, p. 133-141.

Research output: Contribution to journalArticle

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