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. Author manuscript; available in PMC: 2013 Jul 14.
Published in final edited form as: Soft Matter. 2012 May 28;8(26):2897–2905. doi: 10.1039/C2SM25783A

FIGURE 2.

FIGURE 2

Schematic of the finite-element electrodiffusion model with the governing equations and boundary conditions for the H+ and OH− ions (constant influx q at the plates and C=0 at the edge of the E-gel, i.e. at the E-gel forming front). The E-gel (yellow) grows from the (+) towards the (−) plate. The x=0 coordinate is the surface of the (+) plate, x=Lg is the E-gel depth, i.e. the distance from the (+) plate to the E-gel forming front, and x=L=1 cm is the coordinate of the (−) plate. The ions have an additional “velocity” V due to the presence of the electric field, which tends the move the H+ ion towards the (−) and the OH− ion towards the (+) plate. The velocity is defined as V=zDFE/(RT). The space is discretized between x=0 and x=L into 500 finite-elements (not to scale in schematic). Green circles: finite-element nodes, blue circle: H+ ion, red circle: OH− ion.