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Part II. Case study of the effect of the dimensionless groups and comparison with experimental data
Publication year - 1974
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.690200510
Subject(s) - dimensionless quantity , filtration (mathematics) , experimental data , filter (signal processing) , work (physics) , fraction (chemistry) , correlation coefficient , mathematics , product (mathematics) , mechanics , thermodynamics , chemistry , statistics , chromatography , engineering , physics , geometry , electrical engineering
A case study is made to determine the dependence of the deep bed filtration rate (expressed in terms of the fraction of suspended particles impacted) on the eight dimensionless parameters, which are found to be relevant in the filtration process, based on the trajectory calculation method developed in Part I of this series. In addition, comparisons between results based on the theoretical model of this work and available experimental data are made. Comparisons are also made with some of FitzPatrick's theoretical results. The results of this study demonstrate clearly the complex and interactive nature of the relation between the various parameters and the efficiency of filtration. Accordingly, the conventional format of correlating experimental data, which equates the filter coefficient with a product of the pertinent dimensionless groups, each raised to an empirical exponent, will not be adequate in providing a generalized correlation of experimental filtration data.