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Theory of shock electrodialysis

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Theory of shock electrodialysis ( theory-shock-electrodialysis )

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(a) 100 10-1 10-2 10-3 10-4 (b) 100 10-1 10-2 10-3 10-4 1 0.8 0.6 0.4 1 0.8 0.6 0.4 0123401234 DAfull Hfull DAp Hp Model [20] Base case Q = 38 L/min Q = 152 L/min 1 mM NaCl 100 mM NaCl 10 mM KCl F Figure 6: The dimensionless fresh concentration cˆ (left column) and water recovery ω (right column) as functions of dimen- sionless current I ̃. (a) Comparison of different models. (b) Comparison of the DAfull model (curves) with experimental data [8] (markers with the same color as corresponding curves for each case). Base case 2 = - 10.4 mC/m = - 41.6 mC/m h h 2 = 125 nm = 500 nm H = 5 mm H = 8 mm L = 5 mm L = 20 mm p p 0 2 4 6 8 10 12 Figure 7: The conductance scaled by the theoretical surface conductance (κ ̃ = κ/κsc) at overlimiting current from the DAfull model, for different surface charge density σ, pore size hp, and macroscopic geometries H and L of the charged channels. 13

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