An effective-charge model for impurity filtration of liquids by means of nanostructured channels

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

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Submitted to EPL (12 pages; pdfLaTeX; 1 TeX file + 2 PDF files for figures)

Scientific paper

We present model equations for the trapping and accumulation of particles in short cylindrical channels with nanostructured walls, through which a liquid containing a moderate load of impurities is made to flow due to hydrostatic pressure. The equations aim to model the novel class of filters with nanostructured channels which are already being used for drinking water purification and other applications due to their observed ability to effectively filter out impurities of size much smaller than the nominal pore diameter of the filter. The basic ingredient of the model is the introduction of a phenomenological "effective charge" of the inner walls, related to the electrical charges exposed because of the nanostructuring, and which is gradually reduced as flow passes through the channel and the trapped impurities cover the inner wall. By solving the proposed equations, at least three regimes are identified in the time-evolution of the filtering capability of the nanostructured channel: a linear or clean-filter regime, a logarithmic or half-saturation regime, and the saturation regime.

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