2.9. Clogging model analysis
For purposes of modeling, pores in the filter are simplified to a
collection of cylinders. While no filter has this simplified pore
structure, we can expect to see differences in filtration behavior for
the different clogging models that are representative of the processes.
Considering that filtration occurs as the filtration solution passes
through a collection of uniform cylindrical pores of some length and
inner diameter, these models can be used to express the theoretical
filter behavior due to changes in flow path resistance as a result of
substances that cause clogging being retained in the filter based on
shape. Equations expressing the relationship between filtration volume
(throughput) and flow rate (flux) by constant pressure filtrations for
the four clogging models (cake filtration, intermediate blocking,
standard blocking and complete blocking) and the explanation of each
model described in Sumiya[10] and
Grace[11] are shown below.
2.9.1. Cake filtration
model
In this clogging model, the
substances causing clogging do not directly block the flow path through
the pores but rather adhere to the pore surfaces, causing the formation
of new flow paths that are different from those of the original filter
material.