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As a first step to study the mechanism of filtration of deformable particles, the compression and deformation behaviors of calcium-alginate gel particles bed under mechanical loading and hydraulic drag in a particles bed were conducted in the first part of this study. Experimental results show that progressive decreases in the bed height, volume, and porosity of the bed took place gradually as the pressure on the bed was increased, with the particles being deformed into flattened dodecahedrons. Cake filtration and crossflow filtration experiments of Saccharomyces cerevisiae and PMMA were conducted to examine the structure of flux limiting layer formed by deformable particles. Effect of particle deformation due to friction drag and mass of cake on the reduction of porosity was studied to examine how this variation led to the increase in filtration resistance. Results showed that as the cake formed by deformable gel particles exhibits a rapid increase in flow resistance or decrease in porosity due to area contact between particles, a flux limiting layer, resistant material is formed next to the filter medium during filtration. A dynamic analysis proposed by Lu and Hwang (1993) was modified to investigate cake formation in both cake filtration and crossflow filtration of deformable particles by taking the transient effect of cake compression and the effect of area contact between particles into consideration. The simulated results agreed well with the experimental data. In the second part of this study, three-dimensional particles deposition on four basic woven structures was studied numerically by analyzing forces acting on the depositing particles and was applied to estimate the change of clarity of filtrate at the initial stage of filtration. The effects of woven structures, feed concentration and particle/pore size ratio on the transient behavior of cake filtration and the variation of medium resistances at the beginning stage of cake filtration were analyzed quantitatively. The simulated results showed that the filtration period at the initial stage can be divided into the three modes of standard pore blocking, intermediate blocking and cake formation in accordance with the law of blocking for all types of pores. Furthermore, the critical concentration proposed by previous investigators is also confirmed quantitatively in this study.
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