Oxygen Permeation Flux in MIEC Membranes

These surface reactions are thus associated with transport of charges e, h Vq at or close to the surface of the oxide. 

DENSE CERAMIC OXYGEN-PERMEABLE MEMBRANE REACTORS 

The transport flux of charged species in electrolyte membranes can be described by the Nernst-Planck equation 

The conductivity of a defect can be correlated with its concentration and diffusivity, which is a measure of the random motion of species i in the lattice, using the Nernst-Einstein equation 

For MIEC membranes without external circuit, the overall charge balance is applied or Zz,/, = 0 and tbe local velocity of inert marker is negligible, o = 0. Accordingly, the transport flux of charged defects in the MIEC membrane at steady state can be derived (one-dimensional model) from Eqs (5.3)-(5.6) as [15] 

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