Note on Normalisations

The pde (13.53) is normalised by the reference diffusion coefficient D (i.e. d = D/D ), the reference concentration c as usual and the diffusion length 5o as defined in (13.55) (i.e. X = x/Sq). In the first step this gives, for some unspecified species C, 

Newman [19,40] takes a different approach. He normalises his y, corresponding to our X, as 

A simulation of (13.57) with K = 2.13593 and no migration produces a steady state flux equal to 1.00, whereas using = 3, the flux becomes 1.12, or l/r(4/3). 

Rubinstein I (1990) Electro-diffusion. SIAM studies in applied mathematics, vol 11. SIAM, Philadelphia 

Kontturi K, Murtomaki L, Manzanares JA (2008) Ionic transport processes in electrochemistry and membrane science. Oxford UP, Oxford 

---