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. 2022 Oct 14;12(10):1001. doi: 10.3390/membranes12101001
DiR relative gas-diffusion coefficient (m2/s) σion proton conductivity (S/m)
Dieff effective diffusion coefficient (m2/s) τele tortuosity of carbon
Dibulk molecular diffusion coefficient (m2/s) τion tortuosity of ionomer
Di gas-diffusion coefficient (m2/s) ρ density (kg/m3)
Dik Knudsen diffusion coefficient (m2/s) μ dynamic viscosity (kg/(m s))
R universal gas constant (J/(mol K)) ρeff effective density
T Temperature (K) σ surface tension
r average pore radius (m) θ contact angle
Mi relative molecular mass (kg/mol) ϕele electronic potential (V)
Vele carbon volume fraction ϕion ionic potential (V)
Vion ionomer volume fraction γ concentration index
slq liquid water saturation ηc cathode overpotential (V)
u mixed gas velocity vector (m/s) α transport coefficient
S source term (kg/(m3 s), W/m3…) Subscripts
pg gas pressure (Pa) i gas species
cp constant pressure heat capacity (J/(mol K)) ele electron
Keff effective thermal conductivity (W/(m K)) ion proton
Yi gas species mass fraction lq liquid water
K intrinsic permeability (m2) g gas phase
pca capillary pressure (Pa) c cathode
Jc cathode electrochemical reaction rate (A/m2) H2O water
Ac active specific surface area (m−1) O2 oxygen
CO2,ref oxygen reference concentration (mol/m3) N2 nitrogen
Greek letters
ε porosity
τ tortuosity
κeleeff effective electrical conductivity (S/m)
κioneff effective ionic conductivity (S/m)
σele electron conductivity (S/m)