Abstract: Gas diffusion layer (GDL) is an important part of fuel cell. It is a porous medium made of carbon paper. Its internal structure shows fractal characteristics in a certain scale. Based on the fractal theory, Fick's law, the surface characteristics of gas diffusion layer and the law of gas-liquid two-phase flow, a mathematical model of gas diffusion coefficient was established. The results show that the effective diffusion coefficient is directly proportional to area fractal dimension and porosity, and inversely proportional to tortuosity fractal dimension and liquid saturation. By comparing the effective diffusion coefficient predicted by the mathematical model with the existing experimental data, it is found that the surface characteristics of the gas diffusion layer, i.e. hydrophilicity and hydrophobicity, have a great influence on the diffusion coefficient. In the case of low liquid saturation, the gas diffusion performance of the hydrophobic-treated diffusion layer is obviously better than that of the hydrophilic diffusion layer. The new mathematical model of gas diffusion coefficient can accurately describe the diffusion law in the gas diffusion layer, which has a certain guiding significance for the design of gas diffusion layer.
王昌进, 张赛, 徐静磊. 燃料电池气体扩散层的分形模型研究[J]. 材料导报, 2022, 36(13): 20120143-6.
WANG Changjin, ZHANG Sai, XU Jinglei. Study on Fractal Model of Fuel Cell Gas Diffusion Layer. Materials Reports, 2022, 36(13): 20120143-6.
1 Li C P, Chen J J, Li L, et al. Science and Technology Review, 2017(8), 19(in Chinese). 李存璞, 陈嘉佳, 李莉, 等. 科技导报, 2017(8), 19. 2 Wang S Y, Jiang S P. National Science Review, 2017(2), 163. 3 Wu R. Two-phase transport characteristics in cathode porous layers of proton exchange membrane fuel cells. Ph.D. Thesis, Chongqing University, 2012(in Chinese). 吴睿. 质子交换膜燃料电池阴极侧多孔扩散材料内两相传输特性. 博士学位论文, 重庆大学, 2012. 4 Chen H H, Guo X Y, Zeng Y Y, et al. Materials Reports A:Review Papers, 2017, 31(3), 23(in Chinese). 陈海辉, 郭秀艳, 曾莹莹, 等. 材料导报:综述篇, 2017, 31(3), 23. 5 Flückiger R, Freunberger S A, Kramer D, et al. Electrochimica Acta, 2008, 54, 551. 6 Utaka Y, Tasaki Y, Wang S X, et al. International Journal of Heat and Mass Transfer, 2009, 52, 3685. 7 Utaka Y, Hirose I, Tasaki Y. International Journal of Hydrogen Energy, 2011, 36, 9128. 8 Chan C, Zamel N, Li X G, et al. Electrochimica Acta, 2012, 65, 13. 9 Hori R, Kato I, Ida A, et al. Ecs Transactions, 2017, 80(8), 113. 10 Wu R, Zhu X, Liao Q, et al. Electrochimica Acta, 2010, 55, 7394. 11 Chen L, Luan H B, Tao W Q. CIESC Journal, 2011, 62(S1),19(in Chinese). 陈黎, 栾辉宝, 陶文铨.化工学报, 2011, 62(S1), 19. 12 He P, Mu Y T, Chen L, et al. Journal of Engineering Thermophysics. 2019, 40(1), 127(in Chinese). 何璞, 母玉同, 陈黎, 等. 工程热物理学报, 2019, 40(1), 127. 13 Yang X L, Feng J. Ship Engineering, 2018, 40(S1), 363(in Chinese). 杨兴林, 冯娟.船舶工程, 2018, 40(S1), 363. 14 Wang X H, Xu S C, Dong Y Q. Journal of Tongji University(Natural Science), 2019, 47(S1), 75(in Chinese). 王旭辉, 许思传, 董雅倩.同济大学学报(自然科学版), 2019, 47(S1), 75. 15 Ozden A, Shahgaldi S, Li X G, et al. Progress in Energy and Combustion Science, 2019, 74, 50. 16 Zheng Q. Study of some transport properties for gas flow and diffusion through fractal porous media. Ph.D. Thesis, Huazhong University of Science and Technology, 2012(in Chinese). 郑仟. 分形多孔介质中气体流动与扩散的输运特性研究. 博士学位论文, 华中科技大学,2012. 17 Shi Y, Xiao J S, Xue K, et al. Journal of WUT(Information and Management Engineering), 2006,28(3), 153(in Chinese). 石英, 肖金生, 薛坤, 等. 武汉理工大学学报(信息与管理工程版), 2006, 28(3), 153. 18 Shi Y, Xiao J S, Quan S H. Journal of Power Sources, 2006, 160, 277. 19 Shi Y, Xiao J S, Quan S H. International Journal of Hydrogen Energy, 2010, 35, 2863. 20 Shi J H. Study on the diffusion layer based on fractal theory and its in-fluence on the performance of μDMFC. Master's Thesis, Nanjing University of Aeronautics and Astronautics, China, 2018(in Chinese). 时均浩. 基于分形理论的扩散层特性及其对μDMFC性能影响研究.硕士学位论文,南京航空航天大学, 2018. 21 Wu R, Liao Q, Zhu X, et al. International Journal of Heat and Mass Transfer, 2011, 54, 4341. 22 Zheng Q, Yu B M, Wang S F. Chemical Engineering Science, 2012, (68), 650. 23 Yue L K. Effect of hydrophobic treatment on the mass transfer characteristics of PEMFC gas diffusion layer. Master's Thesis, Tianjin University, 2017(in Chinese). 岳利可. 疏水处理对PEMFC气体扩散层传质特性的影响. 硕士学位论文, 天津大学, 2017. 24 Xu H F. Studies on fabrication of micro-porous layer in PEMFC. Master's Thesis, Chinese Academy of Sciences, 2006(in Chinese). 徐海峰. 质子交换膜燃料电池微孔层制备方法的研究. 硕士学位论文, 中国科学院研究生院, 2006. 25 Zhang B Q, Liu X F. AIChE Journal, 2003, 49, 3037. 26 Hao L. Pore-scale study of gas/liquid transport in carbon paper gas diffusion layer of a proton exchange membrane fuel cell. Ph.D. Thesis. Shanghai Jiao Tong University, 2010(in Chinese). 郝亮. 燃料电池碳纸扩散层气/液传输特性的孔隙尺度研究. 博士学位论文, 上海交通大学, 2010. 27 Shi Y, Quan S H, Lou X P. Fractal characterization on material pro-perty of gas diffusion layer in PEM fuel cell, China University of Geosciences Press, China, 2012(in Chinese). 石英, 全书海, 娄小鹏. 质子交换膜燃料电池扩散层物性分形表征方法及其应用, 中国地质大学出版社, 2012. 28 Mani V, Mohanty K K. Journal of Petroleum Science and Engineering, 1999, 23, 173.