Pejman Sanaei, New York University
Abstract: Membrane filters are used in various industrial engineering
processes and one of the most significant applications is water purification, where target particles,
colloids and macromolecules, are removed from the water flow by applying microfiltration. Hence
mathematical models to predict their efficacy are potentially very useful, as such models can suggest
design modifications to improve filter performance and lifetime. Many models have been proposed to
describe particle capture by membrane filters and the associated fluid dynamics, but most of such models
are based on a very simple structure in which the pores of the membrane are assumed to be simple
circularly cylindrical tubes spanning the depth of the membrane. Real membranes used in applications can
have much more complex internal structure, with interconnected pores that may branch
and bifurcate, and pore-size variation across the membrane. However, during the filtration process,
membrane fouling due to the block of large particles and deposition of small particles occur and decreases
the membrane performance. Thus, the membrane’s permeability decreases as the filtration progresses.
Two driving mechanisms can be considered an here: (i) constant pressure drop across the membrane
specified; and (ii) constant flux through the membrane specified. In the former case the flux will decrease
in time as the membrane becomes fouled; in the latter, the pressure drop required to sustain the constant
flux will rise as fouling occurs. Considering elasticity to sub-branches in constant flux scenario, in some stage of filtration process,
the radius of pores may tend to expand due to the effect of high pressure on the elastic sub-branches, which is not negligible.
Report