General correlation of the initial collection efficiency of granular filter beds

Pendse, Hemant P.; Tien, Chi

doi:10.1002/aic.690280421

Cited by 54 publications

(40 citation statements)

References 14 publications

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“…The tube wall is assumed to be parabolic (Payatakes et al, 1973), sinusoidal (Fedkiew and Newman, 1977) or hyperboloidal (Petersen, 1958;Venkatesan and Rajagopalan, 1980). Pendse and Tien (1982) found that trajectory calculations using a combination of all three cases mentioned above agree better with experimental data than each of the models alone. The filtration of particles is accomplished by the deposition of particles on the surface of the tube and the efficiency increases as the constriction minimum to maximum diameters ratio decreases.…”

Section: Literature Review Flow Models In Granular Bedmentioning

confidence: 62%

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A study of inertial effects in granular bed filtration

1985

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The filtration efficiency of a granular bed filter was investigated in the domain where inertial effects are dominant. A filtration model predicting single sphere and total bed efficiencies based on trajectory calculations of dust particles in the voids of the granular bed was developed. The model uses the flow field in a bed of spheres arranged in a body-centered cubic array for which the filtration efficiency was found to be a function of a modified Stokes number defined by Sf' = St X F where the function Fdepends only on the Reynolds number. The value of the function F can be found experimentally or predicted from the Ergun correlation to be F = 1 + 0.0157 Re, The filtration efficiency calculated using the model agrees well with experimental results obtained in beds of dense cubic packing of spheres especially at relatively low Reynolds numbers (Re < 2W) and relatively high Stokes numbers (St' > 0.01). The prediction of the theoretical model also agrees well with experimental data for randomly packed beds at low porosities and low Reynolds numbes. Most theoretical models of filtration in granular beds are based on evaluating the filtration efficiency of a single granule and then integrating the results over the entire bed by assuming that all granules in the bed experience similar filtration conditions and have the same filtration efficiency. The single sphere efficiency is usually determined by calculating the trajectories of aerosol particles flowing toward a single sphere and modifying the gas flow field to account for the porosity of the bed. The major difficulty in using this approach is that the particle trajectories and therefore the filtration efficiency depends strongly on the actual threedimensional flow profile of the gas flowing through the bed. A representative and accurate threedimensional velocity profile for flow in a granular bed is not yet availabe in the literature so that simplified flow models must be used for trajectory calculations with results that do not agree well with experimental data.In the present work an improved version of the Snyder and Stewart (1966) flow model for a dense cubic packing of spheres is used to evaluate the filtration efficiency in a granular bed. The threedimensional flow model enables trajectory calculations to be made for a single sphere as well as for the entire bed. The calculated single sphere and total bed efficiencies are compared to determine the validity of the single sphere efficiency concept. The results for the single sphere and total bed efficiencies are also compared with experimental data obtained in both dense cubic packing of spheres and in randomly packed beds. CONCLUSIONS AND SIGNIFICANCEA filtration model predicting both single sphere and total bed efficiency was developed for a dense cubic packing using the flow field developed by Snyder and Stewart (1966). The model is based on trajectory calculations of dust particles inside the granular bed and assumes no bouncing of dust particles from the surface of the granules. The filtration efficien...

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Section: Literature Review Flow Models In Granular Bedmentioning

confidence: 62%

“…1979;Snaddon and Dietz, 1980;Pfeffer et al, 1981;Degani and Tardos, 1981;Pendse and Tien, 1982). For filtration of aerosol particles from gases the equation takes the form…”

Section: Introductionmentioning

confidence: 99%

A study of inertial effects in granular bed filtration

1985

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“…Pendse and Tien (1982) showed that some of these earlier correlations yield results whch may differ by order of magnitude. Even among the more recent correlations, some significant differences exist.…”

Section: Comparisons With Empirical Correlationsmentioning

confidence: 99%

“…The correlation of Yoshida and Tien is a modified version of the earlier correlation proposed by Pendse and Tien (1982) and based on data reported by a number of investigators, including D'Ottavio and Goren and Thambimuthu. Furthermore, the single-collector efficiency in the Yoshda and Tien correlation was based on K, = (6/[(1 -c )~/~] ) ' /~, while for the other three correlations, 11, is based on K , = 3/2.…”

Section: Nk04"'mentioning

confidence: 99%

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Experimental Determination of the Initial Collection Efficiency of Granular Beds in the Inertial-Impaction-Dominated Region

Jung

Walata

Tien

1989

Aerosol Science and Technology

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Initial collection efficiencies of granular beds were deterpared against one another in order to assess the possible mined experimentally in the inertial-impaction-dominated effect of the instrument itself. The experimental results regime using three different particle counters for concenwere also compared with available empirical correlations tration measurements. The results obtained were comand were used to develop a new correlation.

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Filtration model for polydisperse aerosols in gas‐solid flow using granule‐resolved direct numerical simulation

et al. 2015

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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

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General correlation of the initial collection efficiency of granular filter beds

Cited by 54 publications

References 14 publications

A study of inertial effects in granular bed filtration

A study of inertial effects in granular bed filtration

Experimental Determination of the Initial Collection Efficiency of Granular Beds in the Inertial-Impaction-Dominated Region

Filtration model for polydisperse aerosols in gas‐solid flow using granule‐resolved direct numerical simulation

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