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Filtration model for polydisperse aerosols in gas‐solid flow using granule‐resolved direct numerical simulation
Author(s) -
Kolakaluri R.,
Murphy E.,
Subramaniam S.,
Brown R. C.,
Fox R. O.
Publication year - 2015
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.14901
Subject(s) - stokes number , mechanics , aerosol , filtration (mathematics) , dispersity , particle (ecology) , materials science , physics , mathematics , turbulence , meteorology , statistics , oceanography , reynolds number , polymer chemistry , geology
An analytical framework for calculating the filtration efficiency of polydisperse aerosols in a granular bed is developed for cases where inertial impaction and interception are the principal filtration mechanisms. This framework is used to develop a model for the polydisperse single‐collector efficiency from monodisperse single‐collector efficiency correlations. Conceptually, the polydisperse model is developed by transforming the probability density of particle radius into a probability density of particle Stokes number that is then used to weight the monodisperse single‐collector efficiency at a given Stokes number. An extension of this polydisperse filtration concept results in an analytical solution for the axial variation of polydisperse particle flux in a random three‐dimensional granule configuration. In order to verify the analytical results for polydisperse particle filtration, a granule‐resolved direct numerical simulation approach is coupled with Lagrangian particle tracking to simulate filtration of polydisperse aerosols in a granular bed. © 2015 American Institute of Chemical Engineers AIChE J , 61: 3594–3606, 2015