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A two dimensional agglomerate model for a proton exchange membrane fuel cell

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  • Xing, Lei
  • Mamlouk, Mohamed
  • Scott, Keith

Abstract

A two dimensional steady state and isothermal model of a proton exchange membrane fuel cell is presented. This model is applied to a fuel cell with a counter-flow mode of hydrogen and air along parallel flow channels. In the flow channel and porous media, reactant flow is modelled using the continuity and Navier–Stokes equation. Reactant diffusion and convection are modelled by the Maxwell–Stefan and Navier–Stokes equation, respectively. Water transport is described by the combined mechanism of electro-osmotic drag, back diffusion and hydraulic permeation. The catalyst layer is modelled as a spherical-agglomerate structure in which ionomer and liquid water partially occupy the void space to form a so-called carbon–ionomer–liquid water film inside the agglomerate. A mathematical relationship for the variation in film thickness with the current density is also developed. The effect of platinum and carbon loadings on the cell performance and effectiveness are simulated. The fuel cell polarisation curve based on the agglomerate with a film model gives good agreement to experimental data while the agglomerate without a film model overestimates the current density. The modelling results show that the rapid fall in current density at lower cell voltage is due to an increased oxygen diffusion resistance through the film.

Suggested Citation

  • Xing, Lei & Mamlouk, Mohamed & Scott, Keith, 2013. "A two dimensional agglomerate model for a proton exchange membrane fuel cell," Energy, Elsevier, vol. 61(C), pages 196-210.
    • Handle: RePEc:eee:energy:v:61:y:2013:i:c:p:196-210
    DOI: 10.1016/j.energy.2013.08.026
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    1. Ismail, M.S. & Ingham, D.B. & Ma, L. & Hughes, K.J. & Pourkashanian, M., 2017. "Effects of catalyst agglomerate shape in polymer electrolyte fuel cells investigated by a multi-scale modelling framework," Energy, Elsevier, vol. 122(C), pages 420-430.
    2. Yin, Cong & Gao, Jianlong & Wen, Xuhui & Xie, Guangyou & Yang, Chunhua & Fang, Honglin & Tang, Hao, 2016. "In situ investigation of proton exchange membrane fuel cell performance with novel segmented cell design and a two-phase flow model," Energy, Elsevier, vol. 113(C), pages 1071-1089.
    3. Chen, Hao & Guo, Hang & Ye, Fang & MA, Chong Fang, 2022. "Cell performance and flow losses of proton exchange membrane fuel cells with orientated-type flow channels," Renewable Energy, Elsevier, vol. 181(C), pages 1338-1352.
    4. Xing, Lei & Du, Shangfeng & Chen, Rui & Mamlouk, Mohamed & Scott, Keith, 2016. "Anode partial flooding modelling of proton exchange membrane fuel cells: Model development and validation," Energy, Elsevier, vol. 96(C), pages 80-95.
    5. Tzelepis, Stefanos & Kavadias, Kosmas A. & Marnellos, George E. & Xydis, George, 2021. "A review study on proton exchange membrane fuel cell electrochemical performance focusing on anode and cathode catalyst layer modelling at macroscopic level," Renewable and Sustainable Energy Reviews, Elsevier, vol. 151(C).
    6. Authayanun, Suthida & Saebea, Dang & Patcharavorachot, Yaneeporn & Arpornwichanop, Amornchai, 2014. "Effect of different fuel options on performance of high-temperature PEMFC (proton exchange membrane fuel cell) systems," Energy, Elsevier, vol. 68(C), pages 989-997.
    7. Xing, Lei & Liu, Xiaoteng & Alaje, Taiwo & Kumar, Ravi & Mamlouk, Mohamed & Scott, Keith, 2014. "A two-phase flow and non-isothermal agglomerate model for a proton exchange membrane (PEM) fuel cell," Energy, Elsevier, vol. 73(C), pages 618-634.
    8. Kang, Sanggyu, 2015. "Quasi-three dimensional dynamic modeling of a proton exchange membrane fuel cell with consideration of two-phase water transport through a gas diffusion layer," Energy, Elsevier, vol. 90(P2), pages 1388-1400.
    9. Machado, Bruno S. & Mamlouk, Mohamed & Chakraborty, Nilanjan, 2020. "Entropy generation analysis based on a three-dimensional agglomerate model of an anion exchange membrane fuel cell," Energy, Elsevier, vol. 193(C).
    10. Xing, Lei & Cai, Qiong & Xu, Chenxi & Liu, Chunbo & Scott, Keith & Yan, Yongsheng, 2016. "Numerical study of the effect of relative humidity and stoichiometric flow ratio on PEM (proton exchange membrane) fuel cell performance with various channel lengths: An anode partial flooding modelli," Energy, Elsevier, vol. 106(C), pages 631-645.
    11. Yao, Jing & Wu, Zhen & Wang, Huan & Yang, Fusheng & Xuan, Jin & Xing, Lei & Ren, Jianwei & Zhang, Zaoxiao, 2022. "Design and multi-objective optimization of low-temperature proton exchange membrane fuel cells with efficient water recovery and high electrochemical performance," Applied Energy, Elsevier, vol. 324(C).
    12. Stefanos Tzelepis & Kosmas A. Kavadias & George E. Marnellos, 2023. "A Three-Dimensional Simulation Model for Proton Exchange Membrane Fuel Cells with Conventional and Bimetallic Catalyst Layers," Energies, MDPI, vol. 16(10), pages 1-26, May.
    13. Yuan, Hao & Dai, Haifeng & Ming, Pingwen & Li, Sida & Wei, Xuezhe, 2022. "A new insight into the effects of agglomerate parameters on internal dynamics of proton exchange membrane fuel cell by an advanced impedance dimension model," Energy, Elsevier, vol. 253(C).
    14. Xing, Lei & Das, Prodip K. & Song, Xueguan & Mamlouk, Mohamed & Scott, Keith, 2015. "Numerical analysis of the optimum membrane/ionomer water content of PEMFCs: The interaction of Nafion® ionomer content and cathode relative humidity," Applied Energy, Elsevier, vol. 138(C), pages 242-257.

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