Predicting Flux Rates against Pressure via Solution-Diffusion in Reverse Osmosis Membranes

Authors

  • H. A. Maddah Department of Chemical Engineering, King Abdulaziz University, Saudi Arabia

Abstract

This paper suggests a new method of predicting flux values at Reverse Osmosis (RO) desalination plants. The solution-diffusion model is utilized to determine the osmotic pressure drops for seawater sources. The same technique was applied to the groundwater source at the Abqaiq plant (500 RO plant) to calculate the osmotic pressure. The calculated osmotic pressures were utilized to determine the appropriate flux rates and membrane resistances of different BWRO Toray membranes and a performance comparison between various membranes has been established. The model results confirm an inverse relationship between membrane thickness and water flux rate. Also, a proportional linear relation between the overall water flux and the applied pressure is identified. Higher flux rates and lower salinity indicate lower membrane resistance yielding higher production. The modeled data predict that BWRO Toray TM720D-440 with an 8" membrane is the optimal choice for treating waters from the three water sources at the Abqaiq plant.

Keywords:

reverse osmosis, treatment, desalination, modeling

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References

J. G. Wijmans and R. W. Baker, "The solution-diffusion model: a review," Journal of Membrane Science, vol. 107, no. 1, pp. 1-21, Nov. 1995. https://doi.org/10.1016/0376-7388(95)00102-I

D. R. Paul, "Reformulation of the solution-diffusion theory of reverse osmosis," Journal of Membrane Science, vol. 241, no. 2, pp. 371-386, Oct. 2004. https://doi.org/10.1016/j.memsci.2004.05.026

H. A. Maddah and A. M. Chogle, "Applicability of low pressure membranes for wastewater treatment with cost study analyses," Membrane Water Treatment, vol. 6, no. 6, pp. 477-488, Nov. 2015. https://doi.org/10.12989/mwt.2015.6.6.477

Abqaiq plants: 500 RO plant, Operator Handbook. Dhahran, Saudi Arabia: Saudi Aramco Company: Training & Career Development Center, 2008.

A. Sagle and B. Freeman, "Fundamentals of membranes for water treatment," The future of desalination in Texas, vol. 2, no. 363, 2004, Art. no. 137.

R. Smith, A. Purnama, and H. H. Al-Barwani, "Sensitivity of hypersaline Arabian Gulf to seawater desalination plants," Applied Mathematical Modelling, vol. 31, no. 10, pp. 2347-2354, Oct. 2007. https://doi.org/10.1016/j.apm.2006.09.010

E. A. Abdel-Aal, M. E. Farid, F. S. M. Hassan, and A. E. Mohamed, "Desalination of Red Sea water using both electrodialysis and reverse osmosis as complementary methods," Egyptian Journal of Petroleum, vol. 24, no. 1, pp. 71-75, Mar. 2015. https://doi.org/10.1016/j.ejpe.2015.02.007

J. C. Crittenden, R. R. Trussell, D. W. Hand, K. J. Howe, and G. Tchobanoglous, MWH's Water Treatment: Principles and Design, 3rd ed. Hoboken, NJ, USA: John Wiley & Sons, 2012. https://doi.org/10.1002/9781118131473

J. Prausnitz, R. Lichtenthaler, and E. G. de Azevedo, Molecular Thermodynamics of Fluid-Phase Equilibria, 3rd edition. Upper Saddle River, NJ, USA: Pearson, 1998.

A. Altaee, "A Computational Model to Estimate the Performance of 8 inches RO Membranes in Pressure Vessel," Journal of Membrane and Separation Technology, vol. 1, no. 1, pp. 60-71, Oct. 2012. https://doi.org/10.6000/1929-6037.2012.01.01.8

S. S. Madaeni, M. Afshar, N. Jaafarzadeh, F. Tarkian, and K. Ghasemipanah, "Rearrangement of membrane elements in the pressure vessels for optimum utilization of reverse osmosis process," Chemical Engineering Research and Design, vol. 89, no. 1, pp. 48-54, Jan. 2011. https://doi.org/10.1016/j.cherd.2010.04.021

"TorayTM720D-400 with 8"," in ROMEMBRA® Toray RO Membrane, Tokyo, Japan: Toray Corporation, 2011.

"Brackish Water & Sea Water Membranes, TM (inner connecter type) Datasheets," in ROMEMBRA® Toray RO Membrane, Tokyo, Japan: Toray Corporation, 2016.

Maintenance and handling manual for membrane elements (rev. 105, 106). Poway, CA, USA: Toray Membrane USA, 2016.

T. Beer, Environmental Oceanography, 2nd ed. Boca Raton, FL, USA: CRC Press, 1996.

H. A. Maddah, "Application of Finite Fourier Transform and Similarity Approach in a Binary System of the Diffusion of Water in a Polymer," Journal of Materials Science and Chemical Engineering, vol. 4, no. 4, pp. 20-30, Apr. 2016. https://doi.org/10.4236/msce.2016.44003

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How to Cite

[1]
H. A. Maddah, “Predicting Flux Rates against Pressure via Solution-Diffusion in Reverse Osmosis Membranes”, Eng. Technol. Appl. Sci. Res., vol. 11, no. 2, pp. 6902–6906, Apr. 2021.

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