Local properties of cake in cross-flow microfiltration of submicron particles |
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| Affiliation: | 1. Department of Chemical Engineering, Tamkang University, Tamsui, Taipei Hsien Taiwan 25137, ROC;2. Department of Chemical Engineering, National Taiwan University, Taipei , Taiwan 10617, ROC;1. Interfaces, Confinement, Matériaux et Nanostructures (ICMN), CNRS-Université d′Orléans, UMR 7374, 1B Rue de la Férollerie, C.S. 40059, 45071 Orléans Cedex 2, France;2. Kemica Coatings, Za du Bois Gueslin, 28630 Mignières, France;3. Centre de Nanosciences et de Nanotechnologies (C2N), CNRS-Université Paris Saclay, UMR 9001, 10 Boulevard Thomas Gobert, 91120 Palaiseau, France;1. Center for Membrane and Film Technology, Department of Chemical Science and Engineering, Kobe University, Rokkodaicho 1-1, Nada, Kobe 657-8501, Japan;2. Chemical Engineering Department, Faculty of Engineering, Ferdowsi University of Mashhad, Mashhad, Iran;3. Department of Chemistry, King Fahad University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia;4. Department of Chemical Engineering, National Taiwan University, Taipei 10617, Taiwan, ROC |
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| Abstract: | The local properties of filter cakes, such as porosity and specific filtration resistance, in cross-flow microfiltration of submicron particles are studied based on an analysis of force. The packing of particles in a filter cake can be divided into two modes. When the solid compressive pressure is smaller than the critical value, there exists an equilibrium distance between neighbouring particles due to the electrostatic repulsive force, and the local cake porosity can be estimated by using the cell model proposed in this study. When the solid compressive pressure is greater than the critical value, the compressive force can overcome the repulsive barrier, the particles then come into contact with neighbours, and the power-type empirical relationship between cake porosity and solid compressive pressure can be employed to estimate the local cake porosity. It can be found that the half of the cake near the filter membrane has a compact structure, and a high filtration resistance within the operating conditions of this study. On the other hand, the portion of cake near the cake surface has a high porosity due to the separation of particles. By using this model, the effect of electrolyte concentration on cake properties can be analyzed, and the estimated values of average porosity and average specific filtration resistance under various electrolyte concentrations, cross-flow velocities, and filtration pressures agree fairly well with the experimental data. |
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