Polarization Curves for Small to Medium Oxygen Transport Loss

POLARIZATION CURVES FOR SMALL TO MEDIUM OXYGEN TRANSPORT LOSS 

The oxygen-transport-free polarization curve in Equation 4.141 can be considered as the zero-order term in the expansion of the solution to the full system of equations (4.53) through (4.55) over the parameter 1 /(s D). The goal of this section will be to find the first-order correction in this series. 

Consider a system of equations, following from Equations 4.53 through 4.55  

Note that the zero-order solution corresponds to s D oo, equivalent to = 0. The zero-order overpotential rj is given by Equation 4.121, while the zero-order concentration is simply constant c = ci. For further references, the zero-order r is written in the form 

The parameter f is small. Indeed, with s 10 -10 and D 1, we obtain lO -lO . Equations 4.177 and 4.178 can, thus, be considered as the two terms in expansion of the solution to the full problem of Equations 4.175 and 4.176 over the parameter f. 

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