13.07.2015 Views

Advances in Water Treatment and Enviromental Management

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FOULING PHENOMENON IN CROSS-FLOW MICROFILTRATION PROCESSES 177Fig. 4: Particle displacement rulesthe <strong>in</strong>fluence of the tangential flow on the behaviour of suspended particles close to the edge<strong>and</strong> <strong>in</strong>side the deposit.3.2 ResultsParticle displacement <strong>and</strong> adhesion rules, such as those previously def<strong>in</strong>ed, can be usedmore generally to simulate the formation of aggregates which have very different structuresallow<strong>in</strong>g the simulation of many different applications. Our concern is the underst<strong>and</strong><strong>in</strong>g offoul<strong>in</strong>g phenomena occur<strong>in</strong>g dur<strong>in</strong>g dr<strong>in</strong>k<strong>in</strong>g water ultrafiltration. Numerical simulations ofdeposits are carried out for a great number of particles enter<strong>in</strong>g <strong>in</strong>dividually the specifiedfiltration region, it means physically that such aggregates can be compared to real depositswe can observe after a long water cross-flow microfiltration period. The effect of tangentialshear flow on the structure of a solid particle deposit on the porous wall is taken account for<strong>in</strong> form of a compacity factor which prevents dendrits from be<strong>in</strong>g developed by <strong>in</strong>terfaceerosion <strong>and</strong> also reduces vertical <strong>in</strong>crease of aggregates before complete space fill<strong>in</strong>g. Thisphenomenon has been experimentally visualized by HOUI (1989) <strong>in</strong> a cross-flow microfiltrationmicromodel with video record<strong>in</strong>g of an optical microscop image. Now we specially focus onanalys<strong>in</strong>g capture mechanisms by precis<strong>in</strong>g their <strong>in</strong>fluence on three morphological depositsproperties: porosity, density <strong>and</strong> mean thickness. The f<strong>in</strong>al objective of these <strong>in</strong>vestigations isto determ<strong>in</strong>e the two fundamental macroscopic parameters, permeability <strong>and</strong> thickness,necessar for the description of the work<strong>in</strong>g conditions of a hollow fiber module.All simulations are developed for a filter surface considered as a nuclepore membrane of 20% porosity <strong>and</strong> a pore diameter of 1µm. The size of solid particles is equal to 0.2 µw, thoseFig. 5: Simulation with α=20°, θ i =1°, θ v =1°, N r =4Fig. 6: Simulation with α=20°, θ.=1°, θv=1º, Nr

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