Theoretical analysis of particle trajectories and sieving in a two-dimensional cross-flow filtration system

High-flux membrane separation using fluid skimming dominated convective fluid flow

“…7). Since all pores are circles with a diameter of 20 m placed at equal distances (157 ) from each other, at each pore the same effect will take place [30].…”

“…With d pore is the diameter of the membrane pore (m) and u a is the velocity at a height of one average particle radius (a) from the membrane (m/s), which can be calculated from a Poiseuille profile [30]:…”

Spacer geometry and particle deposition in spiral wound membrane feed channels

“…Besides some experimental investigations, several numerical models for particle deposition have been developed for parallel plate channels (Bowen et al, 1976;Margalit et al, 2013), porous media (Elimelech et al, 1998) and membrane systems (Altena and Belfort, 1984;Chellam and Wiesner, 1992;Song and Elimelech, 1995;Kang et al, 2004;Kim and Zydney, 2006;Ramon and Hoek, 2012). A recent review (Henry et al, 2012) summarizes the different approaches used for modeling particle transport and deposition.…”

“…Altmann and Ripperger (1997) proposed the balance between lift and drag determined particles transport to the surface of a MF membrane. Kim and Zydney (2006) simulated particle trajectory and subsequent deposition in MF/UF membranes considering electrostatic, inertial lift, Van der Waals and Brownian forces. Their numerical model suggested the membrane could remain free of particles due to electrostatic repulsion.…”

The hydrodynamic effect of microparticles on membrane resistance

“…The particle trajectories in cross-flow filtration are considerably more complex due to the additional hydrodynamic and external forces exerted on the particle [2]. The fluid velocity profiles and particles trajectories in cross-flow filtration systems have been studied by various of researchers [3][4][5].…”