1.8 Specific Leakage Current (Cross-Over Current)

The specific leakage current, $I_{\rm leak}$ (A/ $m^3$), models the effect of species cross-over from one electrode to another across the electrolyte. In addition to the source terms expressed by Equations  1.3-1 through 1.3-9:

For PEMFC and SOFC:

$$S_{{\rm H}_2} = -\frac{M_{w,{\rm H}_2}}{2F} I_{\rm leak}$$ (1.8-1)

$$S_{{\rm O}_2} = -\frac{M_{w,{\rm O}_2}}{4F} I_{\rm leak}$$ (1.8-2)

$$S_{{\rm H}_2{\rm0}} = \frac{M_{w,{\rm H}_2{\rm0}}}{2F} I_{\rm leak} > 0$$ (1.8-3)

For Electrolysis:

$$S_{{\rm H}_2} = \frac{M_{w,{\rm H}_2}}{2F} I_{\rm leak}$$ (1.8-4)

$$S_{{\rm O}_2} = \frac{M_{w,{\rm O}_2}}{4F} I_{\rm leak}$$ (1.8-5)

$$S_{{\rm H}_2{\rm0}} = -\frac{M_{w,{\rm H}_2{\rm0}}}{2F} I_{\rm leak}$$ (1.8-6)