Clogging model analysis
Filtration behavior was evaluated with the following four clogging models: cake filtration, intermediate blocking, standard blocking and complete blocking. 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) for the four clogging models applied to constant pressure filtration as described in Sumiya (2013) and Grace (1956) are shown below.
Cake filtration model
In this clogging model, the substances causing clogging do not block the inside of the cylindrical pores but rather adhere to the pore surface, causing the formation of flow paths that are new and different from those of the filter material.