Effectiveness–mass transfer units (ε–MTU) model of an ideal pressure retarded osmosis membrane mass exchanger
Name
Effectiveness-mass transfer units (epsilon-MTU) model of an ideal pressure retarded osmosis membrane mass exchanger.pdf
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1.59 MB
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Author(s)
Sharqawy, Mostafa H.
Banchik, Leonardo David
Lienhard, John H
Date Issued
June 2013
Journal
Journal of Membrane Science
Publisher
Elsevier
Citation
Sharqawy, Mostafa H., Leonardo D. Banchik, and John H. Lienhard. “Effectiveness–mass Transfer Units (ε–MTU) Model of an Ideal Pressure Retarded Osmosis Membrane Mass Exchanger.” Journal of Membrane Science 445 (October 2013): 211–19.
Version
Author's final manuscript
Abstract
Many membrane-based systems, such as reverse osmosis (RO), forward osmosis (FO) and pressure retarded osmosis (PRO), are being used in desalination, water treatment, and energy production. These systems work on the basis of mass transfer through a semi-permeable membrane which allows for the permeation of water while rejecting salts and other substances. The membrane-based devices are essentially mass exchangers which are analogous to heat exchangers. The driving potentials in these mass exchangers are the concentration and pressure differences, whereas in heat exchangers the driving potential is the temperature difference. Closed form solutions of the permeation rate through an ideal PRO mass exchanger are obtained for parallel and counter flow configurations. The recovery ratio (RR) is obtained as a function of dimensionless parameters such as the number of mass transfer units (MTU), mass flow rate ratio (MR), and osmotic pressure ratio (SR). The resulting mathematical expressions form an effectiveness–MTU model for osmotic mass exchangers. These expressions are analogous to those for heat exchangers and can be used as an initial design for PRO membrane based mass exchange devices.
MIT Department
Massachusetts Institute of Technology. Abdul Latif Jameel World Water & Food Security Lab
Massachusetts Institute of Technology. Department of Mechanical Engineering
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Creative Commons Attribution-NonCommercial-NoDerivs License
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DOI of Published Version
https://doi.org/10.1016/j.memsci.2013.06.027
