Modelling the effects of particle polydispersity in crossflow filtration

Selective deposition of fine particles in constant-flux submerged membrane filtration

“…As mentioned previously, the value of f c (d p )N w /f o (d p )N b can be considered as the deposition probability of particles with a diameter of d p . The curves show an interesting trend which is quite different from those in previous studies [7][8][9]. A critical diameter for particle deposition was observed [7][8][9], and the particles which size exceeds the critical value cannot stably deposit onto the membrane surface.…”

“…For a particulate sample with a wide-size distribution, its filterability is far different from a uniform-size one even having the same mean particle size [7][8][9]. In addition, a few Nomenclature C 1 correction factor of drag force due to suspension flow C 2 correction factor of drag force due to permeate flow C 3 constant defined in Eq.…”

“…(6) C 4 -C 5 constants defined in Eq. (10) C D drag coefficient C b particle concentration in suspension (kg/m 3 researchers analyzed the critical conditions of particle deposition on the membrane surface using moment balance [7] or force balances [8,9]. The critical (largest) diameter for particle deposition could be expressed as a function of operating conditions.…”

Comparative study of red grape must nanofiltration: Laboratory and pilot plant scales

“…At 3300 kPa, this parameter grows continuously reaching higher values and no decay is observed. As reported in previous studies (Foley et al, 1995;Salgado et al, 2013), a reduction in the resistance due to the cake formation can be caused by an increase of the osmotic pressure. For this purpose it has to be considered that the overall pressure drop (applied transmembrane pressure Δp) at any time is the sum of pressure drops through the membrane, Δp m , and cake, Δp c , plus the osmotic pressure, Δπ.…”

Hydrodynamics of the continuously filtering slurry reactor — Influence of load of solids and particle size distribution

“…On the other hand, particles possessing a size exceeding the cut-off diameter will remain suspended. In crossflow microfiltration, Foley et al (1995) successfully described the influence of particle polydispersity using a cut-off diameter concept.…”