IDEAS home Printed from https://ideas.repec.org/a/eee/appene/v278y2020ics0306261920310771.html
   My bibliography  Save this article

Mathematical modelling of carbon capture in a packed column by adsorption

Author

Listed:
  • Myers, T.G.
  • Font, F.
  • Hennessy, M.G.

Abstract

A mathematical model of the process of carbon capture in a packed column by adsorption is developed and analysed. First a detailed study is made of the governing equations. Due to the complexity of the internal geometry it is standard practice to average these equations. Here the averaging process is revisited. This shows that there exists a number of errors and some confusion in the standard systems studied in the literature. These errors affect the parameter estimation, with consequences when the experimental set-up is modified or scaled-up. Assuming, as a first approximation, an isothermal model the gas concentration equation is solved numerically. Excellent agreement with data from a pressure swing adsorption experiment is demonstrated. A new analytical solution (valid away from the inlet) is obtained. This provides explicit relations for quantities such as the amount of adsorbed gas, time of first breakthrough, total process time and width and speed of the reaction zone, showing how these depend on the operating conditions and material parameters. The relations show clearly how to optimise the carbon capture process. By comparison with experimental data the analytical solution may also be used to calculate unknown system parameters.

Suggested Citation

  • Myers, T.G. & Font, F. & Hennessy, M.G., 2020. "Mathematical modelling of carbon capture in a packed column by adsorption," Applied Energy, Elsevier, vol. 278(C).
    • Handle: RePEc:eee:appene:v:278:y:2020:i:c:s0306261920310771
    DOI: 10.1016/j.apenergy.2020.115565
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0306261920310771
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.apenergy.2020.115565?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Ben-Mansour, R. & Habib, M.A. & Bamidele, O.E. & Basha, M. & Qasem, N.A.A. & Peedikakkal, A. & Laoui, T. & Ali, M., 2016. "Carbon capture by physical adsorption: Materials, experimental investigations and numerical modeling and simulations – A review," Applied Energy, Elsevier, vol. 161(C), pages 225-255.
    2. Li, Shuangjun & Deng, Shuai & Zhao, Li & Zhao, Ruikai & Lin, Meng & Du, Yanping & Lian, Yahui, 2018. "Mathematical modeling and numerical investigation of carbon capture by adsorption: Literature review and case study," Applied Energy, Elsevier, vol. 221(C), pages 437-449.
    3. Tirzha Lins Porto Dantas & Alirio Rodrigues & Regina Moreira, 2012. "Separation of Carbon Dioxide from Flue Gas Using Adsorption on Porous Solids," Chapters, in: Guoxiang Liu (ed.), Greenhouse Gases - Capturing, Utilization and Reduction, IntechOpen.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Wen, Chuang & Li, Bo & Ding, Hongbing & Akrami, Mohammad & Zhang, Haoran & Yang, Yan, 2022. "Thermodynamics analysis of CO2 condensation in supersonic flows for the potential of clean offshore natural gas processing," Applied Energy, Elsevier, vol. 310(C).
    2. Rumbo-Morales, Jesse Y. & Ortiz-Torres, Gerardo & Sarmiento-Bustos, Estela & Rosales, Antonio Márquez & Calixto-Rodriguez, Manuela & Sorcia-Vázquez, Felipe D.J. & Pérez-Vidal, Alan F. & Rodríguez-Cerd, 2024. "Purification and production of bio-ethanol through the control of a pressure swing adsorption plant," Energy, Elsevier, vol. 288(C).
    3. Liu, Xuetao & Saren, Sagar & Chen, Haonan & Jeong, Ji Hwan & Li, Minxia & Dang, Chaobin & Miyazaki, Takahiko & Thu, Kyaw, 2024. "Open adsorption system for atmospheric CO2 capture: Scaling and sensitivity analysis," Energy, Elsevier, vol. 294(C).

    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. Li, Shuangjun & Deng, Shuai & Zhao, Li & Zhao, Ruikai & Yuan, Xiangzhou, 2021. "Thermodynamic carbon pump 2.0: Elucidating energy efficiency through the thermodynamic cycle," Energy, Elsevier, vol. 215(PB).
    2. Jiang, L. & Gonzalez-Diaz, A. & Ling-Chin, J. & Roskilly, A.P. & Smallbone, A.J., 2019. "Post-combustion CO2 capture from a natural gas combined cycle power plant using activated carbon adsorption," Applied Energy, Elsevier, vol. 245(C), pages 1-15.
    3. Wilkes, Mathew Dennis & Brown, Solomon, 2022. "Flexible CO2 capture for open-cycle gas turbines via vacuum-pressure swing adsorption: A model-based assessment," Energy, Elsevier, vol. 250(C).
    4. Piotr Sakiewicz & Marcin Lutyński & Jakub Sobieraj & Krzysztof Piotrowski & Francesco Miccio & Sylwester Kalisz, 2022. "Adsorption of CO 2 on In Situ Functionalized Straw Burning Ashes—An Innovative, Circular Economy-Based Concept for Limitation of Industrial-Scale Greenhouse Gas Emission," Energies, MDPI, vol. 15(4), pages 1-28, February.
    5. Guo, Zhihao & Deng, Shuai & Zhu, Yu & Zhao, Li & Yuan, Xiangzhou & Li, Shuangjun & Chen, Lijin, 2020. "Non-equilibrium thermodynamic analysis of adsorption carbon capture: Contributors, mechanisms and verification of entropy generation," Energy, Elsevier, vol. 208(C).
    6. Basil Wadi & Ayub Golmakani & Tohid N.Borhani & Vasilije Manovic & Seyed Ali Nabavi, 2023. "Molecular Simulation Techniques as Applied to Silica and Carbon-Based Adsorbents for Carbon Capture," Energies, MDPI, vol. 16(13), pages 1-32, June.
    7. Qasem, Naef A.A. & Ben-Mansour, Rached, 2018. "Adsorption breakthrough and cycling stability of carbon dioxide separation from CO2/N2/H2O mixture under ambient conditions using 13X and Mg-MOF-74," Applied Energy, Elsevier, vol. 230(C), pages 1093-1107.
    8. Yuta Sakanaka & Shotaro Hiraide & Iori Sugawara & Hajime Uematsu & Shogo Kawaguchi & Minoru T. Miyahara & Satoshi Watanabe, 2023. "Generalised analytical method unravels framework-dependent kinetics of adsorption-induced structural transition in flexible metal–organic frameworks," Nature Communications, Nature, vol. 14(1), pages 1-12, December.
    9. Zhang, Fengyuan & Wang, Xiaolin & Lou, Xia & Lipiński, Wojciech, 2021. "The effect of sodium dodecyl sulfate and dodecyltrimethylammonium chloride on the kinetics of CO2 hydrate formation in the presence of tetra-n-butyl ammonium bromide for carbon capture applications," Energy, Elsevier, vol. 227(C).
    10. Chu, Fengming & Yang, Lijun & Du, Xiaoze & Yang, Yongping, 2017. "Mass transfer and energy consumption for CO2 absorption by ammonia solution in bubble column," Applied Energy, Elsevier, vol. 190(C), pages 1068-1080.
    11. Wei, Wei & Liu, Feng & Wang, Jianhui & Chen, Laijun & Mei, Shengwei & Yuan, Tiejiang, 2016. "Robust environmental-economic dispatch incorporating wind power generation and carbon capture plants," Applied Energy, Elsevier, vol. 183(C), pages 674-684.
    12. Qasem, Naef A.A. & Ben-Mansour, Rached & Habib, Mohamed A., 2018. "An efficient CO2 adsorptive storage using MOF-5 and MOF-177," Applied Energy, Elsevier, vol. 210(C), pages 317-326.
    13. Costa, Alexis & Coppitters, Diederik & Dubois, Lionel & Contino, Francesco & Thomas, Diane & De Weireld, Guy, 2024. "Energy, exergy, economic and environmental (4E) analysis of a cryogenic carbon purification unit with membrane for oxyfuel cement plant flue gas," Applied Energy, Elsevier, vol. 357(C).
    14. A. G. Olabi & Tabbi Wilberforce & Enas Taha Sayed & Nabila Shehata & Abdul Hai Alami & Hussein M. Maghrabie & Mohammad Ali Abdelkareem, 2022. "Prospect of Post-Combustion Carbon Capture Technology and Its Impact on the Circular Economy," Energies, MDPI, vol. 15(22), pages 1-38, November.
    15. Wang, Ke & Zhou, Zhongyun & Zhao, Pengfei & Yin, Zeguang & Su, Zhen & Sun, Ji, 2017. "Molten sodium-fluoride-promoted high-performance Li4SiO4-based CO2 sorbents at low CO2 concentrations," Applied Energy, Elsevier, vol. 204(C), pages 403-412.
    16. Junya Wang & Qiuyun Pu & Ping Ning & Shijian Lu, 2021. "Activated carbon‐based composites for capturing CO2: a review," Greenhouse Gases: Science and Technology, Blackwell Publishing, vol. 11(2), pages 377-393, April.
    17. Xu, Weicong & Deng, Shuai & Su, Wen & Zhang, Ying & Zhao, Li & Yu, Zhixin, 2018. "How to approach Carnot cycle via zeotropic working fluid: Research methodology and case study," Energy, Elsevier, vol. 144(C), pages 576-586.
    18. Amna Abdeljaoued & Nausika Querejeta & Inés Durán & Noelia Álvarez-Gutiérrez & Covadonga Pevida & Mohamed Hachemi Chahbani, 2018. "Preparation and Evaluation of a Coconut Shell-Based Activated Carbon for CO 2 /CH 4 Separation," Energies, MDPI, vol. 11(7), pages 1-14, July.
    19. Chen, S.J. & Zhu, M. & Fu, Y. & Huang, Y.X. & Tao, Z.C. & Li, W.L., 2017. "Using 13X, LiX, and LiPdAgX zeolites for CO2 capture from post-combustion flue gas," Applied Energy, Elsevier, vol. 191(C), pages 87-98.
    20. Deborah Panepinto & Marco Ravina & Mariachiara Zanetti, 2022. "An Overview of Thermal Treatment Emissions with a Particular Focus on CO 2 Parameter," Sustainability, MDPI, vol. 14(23), pages 1-17, November.

    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:eee:appene:v:278:y:2020:i:c:s0306261920310771. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/405891/description#description .

    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.