Pore-Scale Multiphase MRT-LBM Investigation of Liquid-Water Transport and Injection Location Effects in Compressed Porous Transport Layers of Interdigitated PEM Fuel Cells

Authors

https://doi.org/10.48313/mtei.v3i2.82

Abstract

The transport of liquid water is crucial in water management in Proton Exchange Membrane Fuel Cell (PEMFCs) since the presence of too much liquid water in Porous Transport Layers (PTLs) may block gas transport and cause flooding in the interdigitated cell structure. This study develops a pore-scale Lattice Boltzmann Model (LBM) for liquid water transport in compressed porous media of interdigitated PEMFCs using the Shan-Chen pseudopotential method and the  Multiple-Relaxation-Time (MRT) collision operator. The developed model is first validated against Laplace's law, droplet contact angle, and correlations for permeability for single-phase flow in the PTL. The results of the validated model are used to analyze the impact of liquid water injection location on water saturation and drainage. The water is injected into three different locations: beneath the gas inlet, beneath the middle rib region, and beneath the gas outlet. The results show that water saturation and drainage are highly dependent on the water injection location. The highest average water saturation (0.34–0.35) was achieved in the case of inlet-side injection, while the lowest average water saturation (0.12–0.15) was observed when water was injected on the outlet side.

Keywords:

Proton exchange membrane fuel cell, Porous transport layer, Liquid-water transport, Water saturation, Multiphase flow, Multiple-relaxation-time lattice Boltzmann method, Pore-scale simulation, Water management

References

  1. [1] Shojaeefard, M. H., Molaeimanesh, G. R., Nazemian, M., & Moqaddari, M. R. (2016). A review on microstructure reconstruction of PEM fuel cells porous electrodes for pore scale simulation. International journal of hydrogen energy, 41(44), 20276–20293. https://doi.org/10.1016/j.ijhydene.2016.08.179

  2. [2] Springer, T. E., Zawodzinski, T. A., & Gottesfeld, S. (1991). Polymer electrolyte fuel cell model. Journal of the electrochemical society, 138(8), 2334. https://doi.org/10.1149/1.2085971

  3. [3] Li, H., Tang, Y., Wang, Z., Shi, Z., Wu, S., Song, D., …& Mazza, A. (2008). A review of water flooding issues in the proton exchange membrane fuel cell. Journal of power sources, 178(1), 103–117. https://doi.org/10.1016/j.jpowsour.2007.12.068

  4. [4] Dicks, A., & Rand, D. A. J. (2018). Fuel cell systems explained. Wiley Online Library. https://doi.org/10.1002/9781118706992.fmatter

  5. [5] Molaeimanesh, G. R., Saeidi Googarchin, H., & Qasemian Moqaddam, A. (2016). Lattice Boltzmann simulation of proton exchange membrane fuel cells – A review on opportunities and challenges. International journal of hydrogen energy, 41(47), 22221–22245. https://doi.org/10.1016/j.ijhydene.2016.09.211

  6. [6] Tüber, K., Pócza, D., & Hebling, C. (2003). Visualization of water buildup in the cathode of a transparent PEM fuel cell. Journal of power sources, 124(2), 403–414. https://doi.org/10.1016/S0378-7753(03)00797-3

  7. [7] Baschuk, J. J., & Li, X. (2000). Modelling of polymer electrolyte membrane fuel cells with variable degrees of water flooding. Journal of power sources, 86(1), 181–196. https://doi.org/10.1016/S0378-7753(99)00426-7

  8. [8] Nguyen, T. V. (1996). A gas distributor design for proton‐exchange‐membrane fuel cells. Journal of the electrochemical society, 143(5), L103. https://doi.org/10.1149/1.1836666

  9. [9] Wood, D. L., Yi, J. S., & Nguyen, T. V. (1998). Effect of direct liquid water injection and interdigitated flow field on the performance of proton exchange membrane fuel cells. Electrochimica acta, 43(24), 3795–3809. https://doi.org/10.1016/S0013-4686(98)00139-X

  10. [10] Kazim, A., Liu, H. T., & Forges, P. (1999). Modelling of performance of PEM fuel cells with conventional and interdigitated flow fields. Journal of applied electrochemistry, 29(12), 1409–1416. https://doi.org/10.1023/A:1003867012551

  11. [11] Hu, M., Zhu, X., Wang, M., Gu, A., & Yu, L. (2004). Three dimensional, two phase flow mathematical model for PEM fuel cell: Part II. Analysis and discussion of the internal transport mechanisms. Energy conversion and management, 45(11), 1883–1916. https://doi.org/10.1016/j.enconman.2003.09.023

  12. [12] Hu, M., Gu, A., Wang, M., Zhu, X., & Yu, L. (2004). Three dimensional, two phase flow mathematical model for PEM fuel cell: Part I. Model development. Energy conversion and management, 45(11), 1861–1882. https://doi.org/10.1016/j.enconman.2003.09.022

  13. [13] Hu, G., Fan, J., Chen, S., Liu, Y., & Cen, K. (2004). Three-dimensional numerical analysis of proton exchange membrane fuel cells (PEMFCs) with conventional and interdigitated flow fields. Journal of power sources, 136(1), 1–9. https://doi.org/10.1016/j.jpowsour.2004.05.010

  14. [14] Su, Z. Y., Liu, C. T., Chang, H. P., Li, C. H., Huang, K. J., & Sui, P. C. (2008). A numerical investigation of the effects of compression force on PEM fuel cell performance. Journal of power sources, 183(1), 182–192. https://doi.org/10.1016/j.jpowsour.2008.04.060

  15. [15] Shi, Z., & Wang, X. (2008). A numerical study of flow crossover between adjacent flow channels in a proton exchange membrane fuel cell with serpentine flow field. Journal of power sources, 185(2), 985–992. https://doi.org/10.1016/j.jpowsour.2008.09.008

  16. [16] Lin, J. H., Chen, W. H., Su, Y. J., & Ko, T. H. (2008). Effect of gas diffusion layer compression on the performance in a proton exchange membrane fuel cell. Fuel, 87(12), 2420–2424. https://doi.org/10.1016/j.fuel.2008.03.001

  17. [17] Chippar, P., O, K., Kang, K., & Ju, H. (2012). A numerical investigation of the effects of GDL compression and intrusion in polymer electrolyte fuel cells (PEFCs). International journal of hydrogen energy, 37(7), 6326–6338. https://doi.org/10.1016/j.ijhydene.2011.04.154

  18. [18] Molaeimanesh, G. R., & Nazemian, M. (2017). Investigation of GDL compression effects on the performance of a PEM fuel cell cathode by lattice Boltzmann method. Journal of power sources, 359, 494–506. https://doi.org/10.1016/j.jpowsour.2017.05.078

  19. [19] Mahmoudi, A. H., Ramiar, A., & Esmaili, Q. (2016). Effect of inhomogeneous compression of gas diffusion layer on the performance of PEMFC with interdigitated flow field. Energy conversion and management, 110, 78–89. https://doi.org/10.1016/j.enconman.2015.12.012

  20. [20] Shi, Z., Wang, X., & Guessous, L. (2010). Effect of compression on the water management of a proton exchange membrane fuel cell with different gas diffusion layers. Journal of fuel cell science and technology, 7(2), 21012. https://doi.org/10.1115/1.3177451

  21. [21] Ihonen, J., Mikkola, M., & Lindbergh, G. (2004). Flooding of gas diffusion backing in PEFCs : Physical and electrochemical characterization. Journal of the electrochemical society, 151(8), A1152. https://doi.org/10.1149/1.1763138

  22. [22] Nam, J. H., & Kaviany, M. (2003). Effective diffusivity and water-saturation distribution in single- and two-layer PEMFC diffusion medium. International journal of heat and mass transfer, 46(24), 4595–4611. https://doi.org/10.1016/S0017-9310(03)00305-3

  23. [23] Zhang, F. Y., Yang, X. G., & Wang, C. Y. (2005). Liquid water removal from a polymer electrolyte fuel cell. Journal of the electrochemical society, 153(2), A225. https://doi.org/10.1149/1.2138675

  24. [24] Chen, L., Kang, Q., Tang, Q., Robinson, B. A., He, Y. L., & Tao, W. Q. (2015). Pore-scale simulation of multicomponent multiphase reactive transport with dissolution and precipitation. International journal of heat and mass transfer, 85, 935–949. https://doi.org/10.1016/j.ijheatmasstransfer.2015.02.035

  25. [25] Molaeimanesh, G. R., & Akbari, M. H. (2015). A pore-scale model for the cathode electrode of a proton exchange membrane fuel cell by lattice Boltzmann method. Korean journal of chemical engineering, 32(3), 397–405. https://doi.org/10.1007/s11814-014-0229-6

  26. [26] Niu, X. D., Munekata, T., Hyodo, S. A., & Suga, K. (2007). An investigation of water-gas transport processes in the gas-diffusion-layer of a PEM fuel cell by a multiphase multiple-relaxation-time lattice Boltzmann model. Journal of power sources, 172(2), 542–552. https://doi.org/10.1016/j.jpowsour.2007.05.081

  27. [27] Park, J., Matsubara, M., & Li, X. (2007). Application of lattice Boltzmann method to a micro-scale flow simulation in the porous electrode of a PEM fuel cell. Journal of power sources, 173(1), 404–414. https://doi.org/10.1016/j.jpowsour.2007.04.021

  28. [28] Park, J., & Li, X. (2008). Multi-phase micro-scale flow simulation in the electrodes of a PEM fuel cell by lattice Boltzmann method. Journal of power sources, 178(1), 248–257. https://doi.org/10.1016/j.jpowsour.2007.12.008

  29. [29] Mukherjee, P. P., Wang, C. Y., & Kang, Q. (2009). Mesoscopic modeling of two-phase behavior and flooding phenomena in polymer electrolyte fuel cells. Electrochimica acta, 54(27), 6861–6875. https://doi.org/10.1016/j.electacta.2009.06.066

  30. [30] Kim, K. N., Kang, J. H., Lee, S. G., Nam, J. H., & Kim, C. J. (2015). Lattice Boltzmann simulation of liquid water transport in microporous and gas diffusion layers of polymer electrolyte membrane fuel cells. Journal of power sources, 278, 703–717. https://doi.org/10.1016/j.jpowsour.2014.12.044

  31. [31] Hao, L., & Cheng, P. (2009). Lattice Boltzmann simulations of anisotropic permeabilities in carbon paper gas diffusion layers. Journal of power sources, 186(1), 104–114. https://doi.org/10.1016/j.jpowsour.2008.09.086

  32. [32] Chen, L., Luan, H. B., He, Y. L., & Tao, W. Q. (2012). Pore-scale flow and mass transport in gas diffusion layer of proton exchange membrane fuel cell with interdigitated flow fields. International journal of thermal sciences, 51, 132–144. https://doi.org/10.1016/j.ijthermalsci.2011.08.003

  33. [33] Shojaeefard, M. H., Molaeimanesh, G. R., & Moqaddari, M. R. (2019). Effects of compression on the removal of water droplet from GDLs of PEM fuel cells. Fuel cells, 19(6), 675–684. https://doi.org/10.1002/fuce.201900101

  34. [34] Deng, H., Hou, Y., & Jiao, K. (2019). Lattice Boltzmann simulation of liquid water transport inside and at interface of gas diffusion and micro-porous layers of PEM fuel cells. International journal of heat and mass transfer, 140, 1074–1090. https://doi.org/10.1016/j.ijheatmasstransfer.2019.05.097

  35. [35] Zhu, W., Wang, M., & Chen, H. (2017). Study on multicomponent pseudo-potential model with large density ratio and heat transfer. International communications in heat and mass transfer, 87, 183–191. https://doi.org/10.1016/j.icheatmasstransfer.2017.07.007

  36. [36] Li, Q., Luo, K. H., & Li, X. J. (2013). Lattice Boltzmann modeling of multiphase flows at large density ratio with an improved pseudopotential model. Physical review e—statistical, nonlinear, and soft matter physics, 87(5), 53301. https://doi.org/10.1103/PhysRevE.87.053301

  37. [37] Yu, Z., & Fan, L. S. (2010). Multirelaxation-time interaction-potential-based lattice Boltzmann model for two-phase flow. Physical review e, 82(4), 46708. ttps://doi.org/10.1103/PhysRevE.82.046708

  38. [38] Guo, Z., & Zheng, C. (2008). Analysis of lattice Boltzmann equation for microscale gas flows: Relaxation times, boundary conditions and the Knudsen layer. International journal of computational fluid dynamics, 22(7), 465–473. https://doi.org/10.1080/10618560802253100

  39. [39] Zheng, L., Shi, B., & Guo, Z. (2008). Multiple-relaxation-time model for the correct thermohydrodynamic equations. Physical review e, 78(2), 26705. https://doi.org/10.1103/PhysRevE.78.026705

  40. [40] Sega, M., M., Sbragaglia, S. S., Kantorovich, & Ivanov, A. O. (2013). Mesoscale structures at complex fluid–fluid interfaces: A novel lattice Boltzmann/molecular dynamics coupling. Soft matter, 9(42), 10092–10107. https://doi.org/10.1039/C3SM51556G

  41. [41] Sbragaglia, M., Benzi, R., Biferale, L., Succi, S., Sugiyama, K., & Toschi, F. (2007). Generalized lattice Boltzmann method with multirange pseudopotential. Physical review e, 75(2), 26702. https://doi.org/10.1103/PhysRevE.75.026702

  42. [42] Yang, Q., He, X., & Peng, H. (2024). Lattice Boltzmann modelling of multicomponent and multiphase flow with high density ratio. European journal of mechanics - b/fluids, 105, 14–24. https://doi.org/10.1016/j.euromechflu.2023.12.014

  43. [43] Liu, M., Yu, Z., Wang, T., Wang, J., & Fan, L.-S. (2010). A modified pseudopotential for a lattice Boltzmann simulation of bubbly flow. Chemical engineering science, 65(20), 5615–5623. 10.1016/j.ces.2010.08.014

  44. [44] Shan, X. (2006). Analysis and reduction of the spurious current in a class of multiphase lattice Boltzmann models. Phys. rev. e, 73(4), 47701. https://doi.org/10.1103/PhysRevE.73.047701

  45. [45] Yu, Z. (2009). A novel lattice Boltzmann method for direct numerical simulation of multiphase flows. The Ohio State University. https://dissertation.com/abstract/1842713

  46. [46] Yuan, P., & Schaefer, L. (2006). Equations of state in a lattice Boltzmann model. Physics of fluids, 18(4), 42101. https://doi.org/10.1063/1.2187070

  47. [47] Hu, A., Li, L., Chen, S., Liao, Q., & Zeng, J. (2013). On equations of state in pseudo-potential multiphase lattice Boltzmann model with large density ratio. International journal of heat and mass transfer, 67, 159–163. https://doi.org/10.1016/j.ijheatmasstransfer.2013.08.005

  48. [48] Sbragaglia, M., & Belardinelli, D. (2013). Interaction pressure tensor for a class of multicomponent lattice Boltzmann models. Physical review E, 88(1), 13306. https://doi.org/10.1103/PhysRevE.88.013306

  49. [49] Hou, Y., Deng, H., Du, Q., & Jiao, K. (2018). Multi-component multi-phase lattice Boltzmann modeling of droplet coalescence in flow channel of fuel cell. Journal of power sources, 393, 83–91. https://doi.org/10.1016/j.jpowsour.2018.05.008

  50. [50] Li, Q., Luo, K. H., Kang, Q. J., He, Y. L., Chen, Q., & Liu, Q. (2016). Lattice Boltzmann methods for multiphase flow and phase-change heat transfer. Progress in energy and combustion science, 52, 62–105. https://doi.org/10.1016/j.pecs.2015.10.001

  51. [51] Ahmed, D. H., & Sung, H. J. (2006). Effects of channel geometrical configuration and shoulder width on PEMFC performance at high current density. Journal of power sources, 162(1), 327–339. https://doi.org/10.1016/j.jpowsour.2006.06.083

  52. [52] Wu, Y., Gui, N., Yang, X., Tu, J., & Jiang, S. (2018). Improved stability strategies for pseudo-potential models of lattice Boltzmann simulation of multiphase flow. International journal of heat and mass transfer, 125, 66–81. https://doi.org/10.1016/j.ijheatmasstransfer.2018.04.021

Published

2026-06-07

How to Cite

Javaherdeh, K. ., & Ashorynejad, H. R. . (2026). Pore-Scale Multiphase MRT-LBM Investigation of Liquid-Water Transport and Injection Location Effects in Compressed Porous Transport Layers of Interdigitated PEM Fuel Cells. Mechanical Technology and Engineering Insights, 3(2), 81-100. https://doi.org/10.48313/mtei.v3i2.82