Two-Dimensional Model of Packed-Bed Electrodes

In this Section so far, ADM is used to solve theoretical generalized models in the forms of ordinary differential equations). For diffusion-convection problems, the distributions along the axial direction of the packed bed electrode were neglected in certain cases, and mass transfer in the three dimensional electrodes were characterized by an average coefficient kh 

The dimensionless model equations for an electrochemical reduction reaction in a PBE are in a form of a set of partial  

There are five dimensionless groups in the model equations  

If the electrode kinetic expression is simplified by neglecting the reverse reaction, the model equation for a cathodic reaction only can be rewritten as 

By using the dimensionless variables the model equations become 

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