IDEAS home Printed from https://ideas.repec.org/a/gam/jeners/v15y2022i10p3558-d814344.html
   My bibliography  Save this article

Study of Pressure Retarded Osmosis Process in Hollow Fiber Membrane: Cylindrical Model for Description of Energy Production

Author

Listed:
  • Endre Nagy

    (Research Institute of Biomolecular and Chemical Engineering, Faculty of Engineering, University of Pannonia, 8200 Veszprém, Hungary)

  • Ibrar Ibrar

    (School of Civil and Environmental Engineering, University of Technology Sydney, Ultimo, NSW 2007, Australia)

  • Ali Braytee

    (School of Computer Science, University of Technology Sydney, Ultimo, NSW 2007, Australia)

  • Béla Iván

    (Polymer Chemistry Research Group, Institute of Materials and Environmental Chemistry, Research Centre for Natural Sciences, Magyar Tudósok Körútja 2, 1117 Budapest, Hungary)

Abstract

A new mathematical model was developed to predict the cylindrical effect of the membrane performance in the pressure retarded osmosis process. The cylindrical membrane transport layers (the draw side boundary and the porous membrane) were divided into very thin sublayers with constant mass transport parameters, among others with a constant radius in every sublayer. The obtained second-order differential mass balance equations were solved analytically, with constant parameters written for every sublayer. The algebraic equation system involving 2 N equations was then solved for the determinant solution. It was shown that the membrane properties, water permeability ( A ), salt permeability ( B ), structural parameter ( S ) and the operating conditions (inlet draw side solute concentration and draw side mass transfer coefficient) affect the water flux strongly, and thus the membrane performance, due to the cylindrical effect caused by the variable surface and volume of the sublayers. This effect significantly depends on the lumen radius. The lower radius means a larger change in the internal surface/volume of sublayers with Δ R thickness. The predicted results correspond to that of the flat-sheet membrane layer at r o = 10,000 μm. At the end of this manuscript, the calculated mass transfer rates were compared to those measured. It was stated that the curvature effect in using a capillary membrane must not be left out of consideration when applying hollow fiber membrane modules due to their relatively low lumen radius. The presented model provides more precise prediction of the performance in the case of hollow fiber membranes.

Suggested Citation

  • Endre Nagy & Ibrar Ibrar & Ali Braytee & Béla Iván, 2022. "Study of Pressure Retarded Osmosis Process in Hollow Fiber Membrane: Cylindrical Model for Description of Energy Production," Energies, MDPI, vol. 15(10), pages 1-23, May.
    • Handle: RePEc:gam:jeners:v:15:y:2022:i:10:p:3558-:d:814344
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/1996-1073/15/10/3558/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/1996-1073/15/10/3558/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Maisonneuve, Jonathan & Pillay, Pragasen & Laflamme, Claude B., 2015. "Pressure-retarded osmotic power system model considering non-ideal effects," Renewable Energy, Elsevier, vol. 75(C), pages 416-424.
    2. Sung Ho Chae & Young Mi Kim & Hosik Park & Jangwon Seo & Seung Ji Lim & Joon Ha Kim, 2019. "Modeling and Simulation Studies Analyzing the Pressure-Retarded Osmosis (PRO) and PRO-Hybridized Processes," Energies, MDPI, vol. 12(2), pages 1-38, January.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Zohreh Jalili & Jon G. Pharoah & Odne Stokke Burheim & Kristian Etienne Einarsrud, 2018. "Temperature and Velocity Effects on Mass and Momentum Transport in Spacer-Filled Channels for Reverse Electrodialysis: A Numerical Study," Energies, MDPI, vol. 11(8), pages 1-24, August.
    2. Manzoor, Husnain & Selam, Muaz A. & Abdur Rahman, Fahim Bin & Adham, Samer & Castier, Marcelo & Abdel-Wahab, Ahmed, 2020. "A tool for assessing the scalability of pressure-retarded osmosis (PRO) membranes," Renewable Energy, Elsevier, vol. 149(C), pages 987-999.
    3. He, Wei & Wang, Yang & Elyasigomari, Vahid & Shaheed, Mohammad Hasan, 2016. "Evaluation of the detrimental effects in osmotic power assisted reverse osmosis (RO) desalination," Renewable Energy, Elsevier, vol. 93(C), pages 608-619.
    4. Di Michele, F. & Felaco, E. & Gasser, I. & Serbinovskiy, A. & Struchtrup, H., 2019. "Modeling, simulation and optimization of a pressure retarded osmosis power station," Applied Mathematics and Computation, Elsevier, vol. 353(C), pages 189-207.
    5. Wen Yi Chia & Kuan Shiong Khoo & Shir Reen Chia & Kit Wayne Chew & Guo Yong Yew & Yeek-Chia Ho & Pau Loke Show & Wei-Hsin Chen, 2020. "Factors Affecting the Performance of Membrane Osmotic Processes for Bioenergy Development," Energies, MDPI, vol. 13(2), pages 1-22, January.
    6. Nagy, Endre & Dudás, József & Hegedüs, Imre, 2016. "Improvement of the energy generation by pressure retarded osmosis," Energy, Elsevier, vol. 116(P2), pages 1323-1333.
    7. Bargiacchi, Eleonora & Orciuolo, Francesco & Ferrari, Lorenzo & Desideri, Umberto, 2020. "Use of Pressure-Retarded-Osmosis to reduce Reverse Osmosis energy consumption by exploiting hypersaline flows," Energy, Elsevier, vol. 211(C).
    8. Maisonneuve, Jonathan & Laflamme, Claude B. & Pillay, Pragasen, 2016. "Experimental investigation of pressure retarded osmosis for renewable energy conversion: Towards increased net power," Applied Energy, Elsevier, vol. 164(C), pages 425-435.
    9. Touati, Khaled & Salamanca, Jacobo & Tadeo, Fernando & Elfil, Hamza, 2017. "Energy recovery from two-stage SWRO plant using PRO without external freshwater feed stream: Theoretical analysis," Renewable Energy, Elsevier, vol. 105(C), pages 84-95.
    10. Bassel A. Abdelkader & Mostafa H. Sharqawy, 2022. "Challenges Facing Pressure Retarded Osmosis Commercialization: A Short Review," Energies, MDPI, vol. 15(19), pages 1-24, October.
    11. Abdelkader, Bassel A. & Navas, Daniel Ruiz & Sharqawy, Mostafa H., 2023. "A novel spiral wound module design for harvesting salinity gradient energy using pressure retarded osmosis," Renewable Energy, Elsevier, vol. 203(C), pages 542-553.
    12. Maisonneuve, Jonathan & Chintalacheruvu, Sanjana, 2019. "Increasing osmotic power and energy with maximum power point tracking," Applied Energy, Elsevier, vol. 238(C), pages 683-695.
    13. Altaee, Ali & Cipolina, Andrea, 2019. "Modelling and optimization of modular system for power generation from a salinity gradient," Renewable Energy, Elsevier, vol. 141(C), pages 139-147.
    14. Ortega-Delgado, B. & Giacalone, F. & Cipollina, A. & Papapetrou, M. & Kosmadakis, G. & Tamburini, A. & Micale, G., 2019. "Boosting the performance of a Reverse Electrodialysis – Multi-Effect Distillation Heat Engine by novel solutions and operating conditions," Applied Energy, Elsevier, vol. 253(C), pages 1-1.
    15. Elizabeth I. Obode & Ahmed Badreldin & Samer Adham & Marcelo Castier & Ahmed Abdel-Wahab, 2022. "Techno-Economic Analysis towards Full-Scale Pressure Retarded Osmosis Plants," Energies, MDPI, vol. 16(1), pages 1-24, December.
    16. Mario Llamas-Rivas & Alejandro Pizano-Martínez & Claudio R. Fuerte-Esquivel & Luis R. Merchan-Villalba & José M. Lozano-García & Enrique A. Zamora-Cárdenas & Víctor J. Gutiérrez-Martínez, 2021. "Pressure Retarded Osmosis Power Units Modelling for Power Flow Analysis of Electric Distribution Networks," Energies, MDPI, vol. 14(20), pages 1-30, October.
    17. Naguib, Maged Fouad & Maisonneuve, Jonathan & Laflamme, Claude B. & Pillay, Pragasen, 2015. "Modeling pressure-retarded osmotic power in commercial length membranes," Renewable Energy, Elsevier, vol. 76(C), pages 619-627.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jeners:v:15:y:2022:i:10:p:3558-:d:814344. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.