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Thus, therefore this site requires the use of reasonably up to date versions of Google Chrome, FireFox, Internet Explorer, or Safari. Needless to say, in microstructures with charged surfaces surface conduction and electro osmotic flow also contribute to ionic fluxes, salt transport in bulk electrolytes is limited by diffusion and advection. While they decelerate and weaken, Via asymptotic approximations and similarity solutions, we show that deionization shocks accelerate and sharpen in narrowing channels, and sometimes disappear, in widening channels. Essentially, whenever allowing for slow variations in surface charge or channel geometry, We elucidate the basic physics of deionization shocks and develop a mathematical theory of their existence, structure, and stability. Needless to say, in this paper, we predict some surprising nonlinear dynamics that can result from the competition between bulk and interfacial transport at higher voltages.
While leaving in its wake an ultrapure solution, nearly devoid of coions and colloidal impurities, when counterions are selectively removed by a membrane or electrode, a deionization shock can propagate through the microstructure. For small applied voltages, these effects lead to prominent linear electrokinetic phenomena. The plots are sampled uniformly in time. Propagation of a depletion shock through the converging diverging channel under the constant current and flow rate condition is shown. The figure shows example of a porous medium and a microtube.