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A stochastic model for the filtration of dilute suspensions using non‐woven cloths
Author(s) -
Wilkinson E. T.,
Davies G. A.
Publication year - 1985
Publication title -
the canadian journal of chemical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.404
H-Index - 67
eISSN - 1939-019X
pISSN - 0008-4034
DOI - 10.1002/cjce.5450630605
Subject(s) - filtration (mathematics) , particle (ecology) , radius , filter (signal processing) , materials science , filter cake , mechanics , penetration (warfare) , biological system , chromatography , chemistry , mathematics , physics , engineering , computer science , geology , statistics , oceanography , computer security , operations research , electrical engineering , biology
Abstract A model is described to simulate a non‐woven unneedled fibre filter which describes the basic random structure of these materials. Good agreement is obtained between the observed structure of non‐woven filter fabrics and the predictions of the model. Data on the pore structure, pore area, perimeter and hydraulic radius can be predicted from the model. This description of a non‐woven filter is used in a stochastic trajectory model to calculate particle filtration. The analysis applies to filtration of dilute suspensions in the regime where particle screening is the predominant mechanism of filtration. The model predicts that the penetration into the filter decays exponentially with depth in the direction of flow. The interaction between the particle distribution on filter media (pore distribution) is taken fully into account in the analysis. The computational method allows the effect of particle size distribution on filtration efficiency, pore blockage and pore binding to be evaluated.