References
- Mench, M. M., "Fuel Cell Engines," John Wiley & Sons, pp. 1-61, 2008.
- Tabe, Y., Nishino, M., Takamatsu, H., and Chikahisa, T., "Effects of Cathode Catalyst Layer Structure and Properties Dominating Polymer Electrolyte Fuel Cell Performance," Journal of The Electrochemical Society, Vol. 158, No. 10, pp. B1246-B1254, 2011. https://doi.org/10.1149/1.3624606
- Siegel, N. P., Ellis, M. W., Nelson, D. J., and von Spakovsky, M. R., "Single Domain PEMFC Model Based on Agglomerate Catalyst Geometry," Journal of Power Sources.Vol. 115, No. 1, pp. 81-89, 2003. https://doi.org/10.1016/S0378-7753(02)00622-5
- Marr, C. and Li, X., "Composition and Performance Modelling of Catalyst Layer in a Proton Exchange Membrane Fuel Cell," Journal of Power Sources, Vol. 77, No. 1, pp. 17-27, 1999. https://doi.org/10.1016/S0378-7753(98)00161-X
- Tiedemann, W. and Newman, J., "Maximum Effective Capacity in an Ohmically Limited Porous Electrode," Journal of The Electrochemical Society, Vol. 122, No. 11, pp. 1482-1485, 1975. https://doi.org/10.1149/1.2134046
- Khajeh-Hosseini-Dalasm, N., Kermani, M., Moghaddam, D. G., and Stockie, J., "A Parametric Study of Cathode Catalyst Layer Structural Parameters on the Performance of a Pem Fuel Cell," International journal of hydrogen energy, Vol. 35, No. 6, pp. 2417-2427, 2010. https://doi.org/10.1016/j.ijhydene.2009.12.111
- Proietti, E., Jaouen, F., Lefevre, M., Larouche, N., and Tian, J., et al., "Iron-based Cathode Catalyst with Enhanced Power Density in Polymer Electrolyte Membrane Fuel Cells," Nature communications, Vol. 2, Paper No. 416, 2011.
- Hao, L. and Cheng, P., "Lattice Boltzmann Simulations of Anisotropic Permeabilities in Carbon Paper Gas Diffusion Layers," Journal of Power Sources, Vol. 186, No. 1, pp. 104-114, 2009. https://doi.org/10.1016/j.jpowsour.2008.09.086
- Hao, L. and Cheng, P., "Lattice Boltzmann Simulations of Water Transport in Gas Diffusion Layer of a Polymer Electrolyte Membrane Fuel Cell," Journal of Power Sources, Vol. 195, No. 12, pp. 3870-3881, 2010. https://doi.org/10.1016/j.jpowsour.2009.11.125
- Joshi, A. S., Grew, K. N., Peracchio, A. A., and Chiu, W. K. S., "Lattice Boltzmann Modeling of 2D Gas Transport in a Solid Oxide Fuel Cell Anode," Journal of Power Sources, Vol. 164, No. 2, pp. 631-638, 2007. https://doi.org/10.1016/j.jpowsour.2006.10.101
- Joshi, A. S., Peracchio, A. A., Grew, K. N., and Chiu, W. K. S., "Lattice Boltzmann method for continuum, multi-component mass diffusion in complex 2D geometries," Journal of Physics D: Applied Physics, Vol. 40, No. 9, Paper No. 2961, 2007.
- Wang, G., Mukherjee, P. P., and Wang, C.-Y., "Direct Numerical Simulation (DNS) Modeling of PEFC Electrodes Part I. Regular microstructure," Electrochimica Acta, Vol. 51, No. 15, pp. 3139-3150, 2006. https://doi.org/10.1016/j.electacta.2005.09.002
- Wang, G., Mukherjee, P. P., and Wang, C.-Y., "Direct Numerical Simulation (DNS) Modeling of PEFC Electrodes Part II. Random microstructure," Electrochimica Acta.Vol. 51, No. 15, pp. 3151-3160, 2006. https://doi.org/10.1016/j.electacta.2005.09.003
- Mukherjee, P. P. and Wang, C.-Y., "Stochastic Microstructure Reconstruction and Direct Numerical Simulation of the PEFC Catalyst Layer," Journal of The Electrochemical Society, Vol. 153, No. 5, pp. A840-A849, 2006. https://doi.org/10.1149/1.2179303
- Luo, G., Ji, Y., Wang, C.-Y., and Sinha, P. K., "Modeling Liquid Water Transport in Gas Diffusion Layers by Topologically Equivalent Pore Network," Electrochimica Acta, Vol. 55, No. 19, pp. 5332-5341, 2010. https://doi.org/10.1016/j.electacta.2010.04.078
- Sinha, P. K. and Wang, C.-Y., "Pore-network Modeling of Liquid Water Transport in Gas Diffusion Layer of a Polymer Electrolyte Fuel Cell," Electrochimica Acta, Vol. 52, No. 28, pp. 7936-7945, 2007. https://doi.org/10.1016/j.electacta.2007.06.061
- Stauffer, D. and Aharony, A., "Introduction to Percolation Theory," Taylor and Francis, pp. 15-56, 1994.
- Suzuki, A., Hattori, T., Miura, R., Tsuboi, H., Hatakeyama, N., and et al., "Porosity and Pt Content in the Catalyst Layer of PEMFC: Effects on Diffusion and Polarization Characteristics," Int. J. Electrochem. Sci, Vol. 5, No. pp. 1948-1961, 2010.
- Wang, Y. and Chen, K. S., "Effect of Spatially-Varying GDL Properties and Land Compression on Water Distribution in PEM Fuel Cells," Journal of the Electrochemical Society, Vol. 158, No. 11, pp. B1292-B1299, 2011. https://doi.org/10.1149/2.015111jes
- Bachmat, Y. and Bear, J., "Macroscopic Modelling of Transport Phenomena in Porous Media. 1: The continuum approach," Transport in Porous Media, Vol. 1, No. 3, pp. 213-240, 1986. https://doi.org/10.1007/BF00238181
- Bachmat, Y. and Bear, J., "Macroscopic Modelling of Transport Phenomena in Porous Media. 2: Applications to Mass, Momentum and Energy Transport," Transport in Porous Media, Vol. 1, No. 3, pp. 241-269, 1986. https://doi.org/10.1007/BF00238182
- Eikerling, M. and Kornyshev, A. A., "Modelling the Performance of the Cathode Catalyst Layer of Polymer Electrolyte Fuel Cells," Journal of Electroanalytical Chemistry, Vol. 453, No. 1, pp. 89-106, 1998. https://doi.org/10.1016/S0022-0728(98)00214-9
- Bear, J. and Bachmat, Y., "Introduction to Modeling of Transport Phenomena in Porous Media," Springer, pp. 3-42, 1990.
- Bear, J., "Dynamics of Fluids in Porous Media," Courier Dover Publications, pp. 1-26, 2013.
- Zhang, D., Zhang, R., Chen, S., and Soll, W. E., "Pore Scale Study of Flow in Porous Media: Scale Dependency, REV, and Statistical REV," Geophysical Research Letters, Vol. 27, No. 8, pp. 1195-1198, 2000. https://doi.org/10.1029/1999GL011101
- Kanit, T., Forest, S., Galliet, I., Mounoury, V., and Jeulin, D., "Determination of the Size of the Representative Volume Element for Random Composites: Statistical and Numerical Approach," International Journal of Solids and Structures, Vol. 40, No. 13-14, pp. 3647-3679, 2003. https://doi.org/10.1016/S0020-7683(03)00143-4
- Costanza-Robinson, M. S., Estabrook, B. D., and Fouhey, D. F., "Representative Elementary Volume Estimation for Porosity, Moisture Saturation, and Air-Water Interfacial Areas in Unsaturated Porous Media: Data Quality Implications," Water Resources Research, Vol. 47, No. 7, 2011.
- Li, J., Zhang, L., Wang, Y., and Fredlund, D., "Permeability tensor and Representative Elementary Volume of Saturated Cracked Soil," Canadian Geotechnical Journal, Vol. 46, No. 8, pp. 928-942, 2009. https://doi.org/10.1139/T09-037
- Uchida, M., Aoyama, Y., Eda, N., and Ohta, A., "Investigation of the Microstructure in the Catalyst Layer and Effects of Both Perfluorosulfonate Ionomer and PTFE-Loaded Carbon on the Catalyst Layer of Polymer Electrolyte Fuel Cells," Journal of The Electrochemical Society, Vol. 142, No. 12, pp. 4143-4149, 1995. https://doi.org/10.1149/1.2048477
- Hammersley, J. M., "Percolation processes; II. The connective constant," Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 53, No. 3, pp. 642-645, 1957. https://doi.org/10.1017/S0305004100032692
- Hammersley, J. M., "Monte Carlo methods for solving multivariable problems," Annals New York Academy of Sciences, Vol. 86, No. 3, pp. 844-874, 1960.
- Jung, H.-M., Choi, W., and Um, S., "Path-percolation Modeling of the Electrical Property Variations with Statistical Procedures in Spatially-disordered Inhomogeneous Media," Journal of the Korean Physical Society, Vol. 56, No. 2, pp. 591-597, 2010. https://doi.org/10.3938/jkps.56.591
- Hoshen, J. and Kopelman, R., "Percolation and Cluster Distribution. I. Cluster multiple labeling technique and critical concentration algorithm," Physical Review B, Vol. 14, No. 8, Paper No. 3438, 1976.
- Cochran, W. G., "Sampling Techniques," John Wiley & Sons, 2007.
- Montgomery, D. C. and Runger, G. C., "Applied Statistics and Probability for Engineers," John Wiley & Sons, 2010.
- Murthy, D. P., Xie, M., and Jiang, R., "Weibull Models," John Wiley & Sons, 2004.
- Christensen, K. and Moloney, N. R., "Complexity and Criticality," Imperial College Press, pp. 55-102, 2005.