Solutions of PNP Equations

The integration of Equation 8.37 between x = 0 and x=L in the steady state, where h is a constant, gives 

Therefore, the steady-state charge flux due to the /-type ions is given as 

Assuming that the diffusion coefflcient D, is independent of the spacial position along the pore and taking the charge flux in the steady state as given by Equation 8.45, Equation 8.46 rearranges to 

The computation of the steady-state charge flux and the concentration profile requires the electric potential variation (x). This is given by the Poisson equation (Equation 8.5), 

---