The tortuosity calculated from simulations is taken at multiple points on the GDL to obtain an averaged value for the sample. The average value is used because the GDL structure is a matrix of random carbon fibers. The liquid and gas phase permeability is important to the calculation of tortuosity because it is a measure of the willingness of a porous media to flow through it. In addition, the simulated results are compared to experimental data through the calculation of the MacMullin number. The MacMullin number is a relationship defined by porosity divided by tortuosity. This number describes the ionic resistance, or resistance to current flow, through the GDL.
References:
- Pal, M.K. Joyce, P.D. Fleming, A Simple Method for Calculation of the Permeability Coefficient of Porous Media, Tappi Journal. (2006).
- Martínez Michael J., Shimpalee, S., Van Zee, J.W., 2009. Measurement of MacMullin Numbers for PEMFC Gas-Diffusion Media. Journal of The Electrochemical Society 156. doi:10.1149/1.3005564
- Liu, S. Shin, S. Um, Comprehensive Statistical Analysis of Heterogeneous Transport Characteristics in Multifunctional Porous Gas Diffusion Layers Using Lattice Boltzmann Method for Fuel Cell Applications, Comprehensive Statistical Analysis of Heterogeneous Transport Characteristics in Multifunctional Porous Gas Diffusion Layers Using Lattice Boltzmann Method for Fuel Cell Applications. (2018).
Figure 1: Model geometry (EP40T) obtained from Micro X-ray CT with streamlines to show the flow.
