Modelling, simulation and optimisation of seawater reverse osmosis – pressure-retarded osmosis (SWRO–PRO) hybrid units for seawater desalination
Reverse osmosis (RO) is the most widely used membrane-based desalination technology. However, it still requires a significant amount of energy to produce fresh water. The highly concentrated rejected solution of the RO process is typically wasted. The idea is to use it for pressure-retarded osmosis...
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Published in | Journal of engineering mathematics Vol. 154; no. 1 |
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Main Authors | , |
Format | Journal Article |
Language | English |
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Springer Nature B.V
01.10.2025
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ISSN | 0022-0833 1573-2703 |
DOI | 10.1007/s10665-025-10473-4 |
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Abstract | Reverse osmosis (RO) is the most widely used membrane-based desalination technology. However, it still requires a significant amount of energy to produce fresh water. The highly concentrated rejected solution of the RO process is typically wasted. The idea is to use it for pressure-retarded osmosis (PRO). A SWRO–PRO hybrid system could potentially further reduce the specific energy consumption (SEC) of the system. In this paper, we are modelling the membrane unit for both RO and PRO in detail. The mathematical model describes the important flow quantities along the flow direction of the membrane. For a realistic approximation, we include internal concentration polarization (ICP) and external concentration polarization (ECP) effects. Together with a model for a modern energy recovery device (ERD), we are able to implement and simulate a complete SWRO–PRO hybrid system. Finally, we optimize the operating pressures of a conventional RO system and the operating conditions of a hybrid system. |
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AbstractList | Reverse osmosis (RO) is the most widely used membrane-based desalination technology. However, it still requires a significant amount of energy to produce fresh water. The highly concentrated rejected solution of the RO process is typically wasted. The idea is to use it for pressure-retarded osmosis (PRO). A SWRO–PRO hybrid system could potentially further reduce the specific energy consumption (SEC) of the system. In this paper, we are modelling the membrane unit for both RO and PRO in detail. The mathematical model describes the important flow quantities along the flow direction of the membrane. For a realistic approximation, we include internal concentration polarization (ICP) and external concentration polarization (ECP) effects. Together with a model for a modern energy recovery device (ERD), we are able to implement and simulate a complete SWRO–PRO hybrid system. Finally, we optimize the operating pressures of a conventional RO system and the operating conditions of a hybrid system. |
ArticleNumber | 4 |
Author | Gasser, Ingenuin Marx, Oliver P. |
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Cites_doi | 10.1016/S0376-7388(00)82088-8 10.3390/en81011821 10.1016/j.desal.2023.117234 10.1038/174660a0 10.3390/en15197325 10.1016/S0011-9164(03)00395-3 10.2166/9781789061215 10.1016/j.desal.2016.01.027 10.1039/C4EE01020E 10.1016/j.scitotenv.2018.12.076 10.1016/j.desal.2024.117578 10.3390/membranes12020204 10.1016/j.desal.2020.114429 10.1016/j.joule.2023.12.015 10.1016/j.desal.2010.06.017 10.1016/j.desal.2020.114767 10.1021/es503790k 10.5897/IJCER2023.0309 10.1016/j.jwpe.2021.101950 10.1016/j.desal.2007.02.080 10.1126/science.186.4161.350 10.1016/j.desal.2011.03.047 10.1016/j.renene.2014.10.011 |
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References | 10473_CR30 AP Straub (10473_CR26) 2014; 48 RS Norman (10473_CR20) 1974; 186 J Crank (10473_CR6) 1980 S Lin (10473_CR17) 2014; 7 10473_CR8 BA Abdelkader (10473_CR1) 2022; 15 Y Jacobson (10473_CR11) 2024; 574 R Pattle (10473_CR23) 1954; 174 OO Bolorunduro (10473_CR5) 2024; 10 S Senthil (10473_CR25) 2016; 389 N AlZainati (10473_CR3) 2021; 40 10473_CR28 10473_CR29 J Park (10473_CR22) 2022; 12 KL Lee (10473_CR14) 1981; 27 N Sawaki (10473_CR24) 2021; 497 S Sudaramoorthy (10473_CR27) 2011; 280 10473_CR21 A Achilli (10473_CR2) 2010; 261 F di Michele (10473_CR7) 2019; 353 S Hong (10473_CR10) 2023 K Gerstandt (10473_CR9) 2008; 224 J Kim (10473_CR13) 2015; 8 S Lee (10473_CR15) 2020; 491 J Maisonneuve (10473_CR19) 2015; 75 SA Avlonitis (10473_CR4) 2003; 157 S Lin (10473_CR18) 2024; 8 E Jones (10473_CR12) 2019; 657 J Lee (10473_CR16) 2024; 581 |
References_xml | – volume: 27 start-page: 141 year: 1981 ident: 10473_CR14 publication-title: J Membr Sci doi: 10.1016/S0376-7388(00)82088-8 – volume: 8 start-page: 11821 year: 2015 ident: 10473_CR13 publication-title: Energies doi: 10.3390/en81011821 – volume: 574 year: 2024 ident: 10473_CR11 publication-title: Desalination doi: 10.1016/j.desal.2023.117234 – volume: 174 start-page: 660 year: 1954 ident: 10473_CR23 publication-title: Nature doi: 10.1038/174660a0 – volume: 15 start-page: 7325 year: 2022 ident: 10473_CR1 publication-title: Energies doi: 10.3390/en15197325 – volume: 157 start-page: 151 issue: 1–3 year: 2003 ident: 10473_CR4 publication-title: Desalination doi: 10.1016/S0011-9164(03)00395-3 – volume-title: Seawater reverse osmosis (SWRO) desalination: energy consumption in plants, advanced low-energy technologies, and future developments for improving energy efficiency year: 2023 ident: 10473_CR10 doi: 10.2166/9781789061215 – volume: 389 start-page: 78 year: 2016 ident: 10473_CR25 publication-title: Desalination doi: 10.1016/j.desal.2016.01.027 – volume: 7 start-page: 2706 year: 2014 ident: 10473_CR17 publication-title: Energy Environ Sci doi: 10.1039/C4EE01020E – volume-title: The mathematics of diffusion year: 1980 ident: 10473_CR6 – volume: 657 start-page: 1343 year: 2019 ident: 10473_CR12 publication-title: Sci Total Environ doi: 10.1016/j.scitotenv.2018.12.076 – volume: 581 year: 2024 ident: 10473_CR16 publication-title: Desalination doi: 10.1016/j.desal.2024.117578 – volume: 12 start-page: 204 issue: 2 year: 2022 ident: 10473_CR22 publication-title: Membranes doi: 10.3390/membranes12020204 – volume: 491 start-page: 1 year: 2020 ident: 10473_CR15 publication-title: Desalination doi: 10.1016/j.desal.2020.114429 – volume: 8 start-page: 334 issue: 2 year: 2024 ident: 10473_CR18 publication-title: Joule doi: 10.1016/j.joule.2023.12.015 – ident: 10473_CR28 – ident: 10473_CR8 – volume: 261 start-page: 205 year: 2010 ident: 10473_CR2 publication-title: Desalination doi: 10.1016/j.desal.2010.06.017 – ident: 10473_CR21 – volume: 353 start-page: 189 year: 2019 ident: 10473_CR7 publication-title: Appl Math Comput – volume: 497 year: 2021 ident: 10473_CR24 publication-title: Desalination doi: 10.1016/j.desal.2020.114767 – ident: 10473_CR29 – ident: 10473_CR30 – volume: 48 start-page: 12435 year: 2014 ident: 10473_CR26 publication-title: Environ Sci Technol doi: 10.1021/es503790k – volume: 10 start-page: 19 issue: 2 year: 2024 ident: 10473_CR5 publication-title: Int J Comput Eng Res doi: 10.5897/IJCER2023.0309 – volume: 40 year: 2021 ident: 10473_CR3 publication-title: J Water Process Eng doi: 10.1016/j.jwpe.2021.101950 – volume: 224 start-page: 64 issue: 1 year: 2008 ident: 10473_CR9 publication-title: Desalination doi: 10.1016/j.desal.2007.02.080 – volume: 186 start-page: 350 year: 1974 ident: 10473_CR20 publication-title: Science doi: 10.1126/science.186.4161.350 – volume: 280 start-page: 403 year: 2011 ident: 10473_CR27 publication-title: Desalination doi: 10.1016/j.desal.2011.03.047 – volume: 75 start-page: 416 issue: 2015 year: 2015 ident: 10473_CR19 publication-title: Renew Energy doi: 10.1016/j.renene.2014.10.011 |
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SubjectTerms | Desalination Energy consumption Energy recovery Fresh water Hybrid systems Membranes Modelling Optimization Polarization Reverse osmosis Seawater Specific energy |
Title | Modelling, simulation and optimisation of seawater reverse osmosis – pressure-retarded osmosis (SWRO–PRO) hybrid units for seawater desalination |
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