Effectiveness-mass transfer units (ε-MTU) model of a reverse osmosis membrane mass exchanger
Name
2014 Banchik - Effectiveness-mass transfer units (epsilon-MTU) model of a reverse osmosis membrane mass exchanger Journal of Membrane Science.pdf
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1.41 MB
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Checksum (MD5)
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Author(s)
Sharqawy, Mostafa H.
Banchik, Leonardo David
Lienhard, John H
Date Issued
February 2014
Journal
Journal of Membrane Science
Publisher
Elsevier
Citation
Banchik, Leonardo D., Mostafa H. Sharqawy, and John H. Lienhard. “Effectiveness-Mass Transfer Units (ε-MTU) Model of a Reverse Osmosis Membrane Mass Exchanger.” Journal of Membrane Science 458 (May 2014): 189–198.
Version
Author's final manuscript
Abstract
A strong analogy exists between heat exchangers and osmotic mass exchangers. The effectiveness-number of transfer units (ε-NTU) method is well-known for the sizing and rating of heat exchangers. A similar method, called the effectiveness-mass transfer units (ε-MTU) method, is developed for reverse osmosis (RO) mass exchangers. Governing equations for an RO mass exchanger are nondimensionalized assuming ideal membrane characteristics and a linearized form of the osmotic pressure function for seawater. A closed form solution is found which relates three dimensionless groups: the number of mass transfer units, which is an effective size of the exchanger; a pressure ratio, which relates osmotic and hydraulic pressures; and the recovery ratio, which is the ratio of permeate to inlet feed flow rates. A novel performance parameter, the effectiveness of an RO exchanger, is defined as a ratio of the recovery ratio to the maximum recovery ratio. A one-dimensional numerical model is developed to correct for the effects of feed-side external concentration polarization and nonlinearities in osmotic pressure as a function of salinity. A comparison of model results to experimental data found in the literature resulted in an average error of less than 7.8%. The analytical ε-MTU model can be used for design or performance evaluation of RO membrane mass exchangers.
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-NoDerivatives
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DOI of Published Version
https://doi.org/10.1016/j.memsci.2014.01.039
