@kirk Had a few thoughts that I hope are helpful or probing at least. Disclaimer, fluids are not my strength. I'd be happy to hear more about your insights or goals here.
Colleague pointed out to me that there are correlations for different porous media geometries (e.g., see Fig 4 & Equation 2.6 and a bit more surrounding context in this paper for details https://link.springer.com/article/10.1007/s11242-020-01423-y). So if you have the permeability (and make some assumptions), you can have some bounded estimates of the coefficient.
I'm trying to digest the utility of the Forchheimer part of Darcy-Forchheimer. For a first-pass estimate of pressure drop, I'm willing to bet using Darcy's law is sufficient to approximate pressure drop (maybe the computational expense is smaller, and it's more instructive for a general audience IMO).
Regarding flow distribution: relating flow to performance I think will be challenging (there could be a lot of cell performance that is determined by other electrode complexities beyond whatever "inertial flow" does to transport of active species).
I'd also note that measuring the pressure drop directly could be relatively easy. We've done them with cheap pressure sensors such as these before: link. Maybe that could be of use and might be a way to check for inertial effects?
In any case, excited for the next steps in the modeling!