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Supporting information for: Scalable and Continuous Water Deionization by Shock Electrodialysis Sven Schlumpberger,† Nancy B. Lu,† Matthew E. Suss,†,¶ and Martin Z. Bazant∗,†,‡ †Department of Chemical Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, United States ‡Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, United States ¶Present Address: Faculty of Mechanical Engineering, Technion Israel Institute of Technology, Technion City, Haifa 3200003, Israel E-mail: bazant@mit.edu 1 Electroosmotic Flow Estimation 2 To estimate the magnitude of the electroosmotic flows in our system, we start with the 3 Helmholtz-Smoluchowski formula for the electroosmotic flow velocity uEOF = εζE (1) μ 4 where ε is the permittivity of water (F/m), ζ is the zeta potential (V), E is the electric 5 field (V/m), and μ is the viscosity of water (Pa*s). We estimate that E = j/σ, where j is 6 the current density (A/m2) and σ is the bulk conductivity of the solution (S/m). We also S1PDF Image | Continuous Water Deionization by Shock Electrodialysis
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