Sri:
1. Point A has no flow, point B has no BC (i.e. I am assuming Darcy continuity), point C has constant pressure (1 atm) and an outflow given by the rate of volume decrease.
2. Not quite. The deposition is occurring everywhere that there is active area in the cathode, so the local thickness is just nanometers, where the total cathode thickness (length BC) is 1 mm. The deposit is non-conductive and the local exchange current and/or active area is reduced accordingly. (This is a macroscopic representation of microscopic heterogeneity.) The porous electrode retain its initial conductivity.
(One thought here - the sum of the relative volumes of porous conductor and electrolyte is now less than one, but I would not think this matters since the node has variables for each.)
Yes cation and anion concentrations have identical profiles (neutrality is preserved) and the neutral species also has unphysical increasing concentration.
1. Point A has no flow, point B has no BC (i.e. I am assuming Darcy continuity), point C has constant pressure (1 atm) and an outflow given by the rate of volume decrease.
2. Not quite. The deposition is occurring everywhere that there is active area in the cathode, so the local thickness is just nanometers, where the total cathode thickness (length BC) is 1 mm. The deposit is non-conductive and the local exchange current and/or active area is reduced accordingly. (This is a macroscopic representation of microscopic heterogeneity.) The porous electrode retain its initial conductivity.
(One thought here - the sum of the relative volumes of porous conductor and electrolyte is now less than one, but I would not think this matters since the node has variables for each.)
Yes cation and anion concentrations have identical profiles (neutrality is preserved) and the neutral species also has unphysical increasing concentration.