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Mathematical modelling of carbon capture in a packed column by adsorption

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  • 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
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    References listed on IDEAS

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    1. 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.
    2. 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.
    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.
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    Cited by:

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    2. 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).
    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).

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