dead-end microfiltration process, solid particles whose size is smaller than the pore of the membrane are transported by pressure-driven flow. During the filtration operation, there is a buildup of solid particles on the membrane surface; the particles form a layer called "cake" layer and they comprise solute particles that can not permeate the membrane. A major practical problem faced in the filtration process is "fouling," in which the "cake" layer increases the hydraulic resistance of the membrane and decreases the filtration performance. In order to suppress "fouling" in the pore and on the surface of the membrane, it is important to understand the dynamics of concentrated particles in a flow field and the mechanism of particle deposition. Backwashing is a necessary operation in a membrane system. It is important to understand the process of backwashing. So far, although numerous experiments have been carried out on membrane filtration, the processes occurring in the pore and on the surface of the membrane are still not well understood. In a recent experimental study, in situ measurement was carried out to understand the process of particle deposition during filtration (Mendret et al., 2007). However, in situ measurement and observations of the motion of nanoparticles are not sufficient. Visualization by numerical simulation can be of great help in understanding processes associated with the membrane system, such as "cake" layer formation and "fouling." Moreover, unlike experiments, in numerical simulation, physical conditions can be changed independently, so that we can understand particle dynamics effectively. In various filtration processes, if the buildup of the "cake" layer and the mechanism of "fouling" can be predicted and evaluated by numerical simulation, we will be able to predict the performance of the membrane system. Therefore, numerical simulation of the motion of particles as well as the motion of the solvent is expected to aid in visualizing the process of deposition of concentrated particles in the pores and on the surface of the membrane.Today, computational fluid dynamics (CFD) simulation is used to simulate the hydrodynamic interaction and it is useful for understanding the fouling process in dead-end microfiltration. We performed numerical simulations using a membrane model with a straight pore for particle concentrations of 2% and 5% and used the permeate flux and particle rejection to evaluate the filtration performance. The simulations reproduced the wellknown experimental fact that the decrease in the permeate flux increases with increasing particle concentration.
Direct Simulation Model of Concentrated Particulate Flow in Pressure-Driven Dead-End MicrofiltrationSnapshots of particles dynamics obtained from the simulation are presented, and the difference between the fouling processes corresponding to the two particle concentrations is discussed. The starting point of fouling approached closer to the feed side of the membrane as the particle concentration increased. In addition, we d...