Extension of the screen type diffusion battery theory

Lee, K.W.; Connick, P.A.; Gieseke, J.A.

doi:10.1016/0021-8502(81)90027-6

Cited by 12 publications

(4 citation statements)

References 4 publications

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“…Theoretical analysis enables size distributions to be retrieved using different mathematical schemes developed, e.g. by Soderholm (1979) , Busigin et al (1980) , Lee et al (1981) , Maher and Laird (1985) and Lesnic et al (1995) . The graphical stripping technique has been described by Sinclair (1972) .…”

Section: Resolution and Reconstruction Of The Size Distributionmentioning

confidence: 99%

A Novel Size-Selective Airborne Particle Size Fractionating Instrument for Health Risk Evaluation

2009

The Annals of Occupational Hygiene

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Health risks associated with the inhalation of airborne particles are known to be influenced by particle size. Studies have shown that certain nanoparticles, with diameters <100 nm, have increased toxicity relative to larger particles of the same substance. A reliable, size-resolving sampler able to collect a wide range of particle sizes, including particles with sizes in the nanometre range, would be beneficial in investigating health risks associated with the inhalation of airborne particles. A review of current aerosol samplers used for size-resolved collection of airborne particles highlighted a number of limitations. These could be overcome by combining an inertial deposition impactor with a diffusion collector in a single device. Verified theories of diffusion and inertial deposition suggested an optimal design and operational regime. The instrument was designed for analysing mass distribution functions. Calibration was carried out using a number of recognized techniques. The sampler was tested in the field by collecting size-resolved samples of lead containing aerosols present at workplaces in factories producing crystal glass. The mass deposited on each screen proved sufficient to be detected and measured by an appropriate analytical technique. Mass concentration distribution functions of lead were produced. The nanofraction of lead in air varied from 10 to 70% by weight of total lead.

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Section: Resolution and Reconstruction Of The Size Distributionmentioning

confidence: 99%

A Novel Size-Selective Airborne Particle Size Fractionating Instrument for Health Risk Evaluation

2009

The Annals of Occupational Hygiene

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“…However, an alternative approach is being pursued here as previously performed by Kim et al (2000), Lee et al (1981), and Lee and Kim (1999). One of the most critical assumptions to be made is that the size distribution of an aerosol undergoing diffusional deposition in a brous lter can be represented by a lognormal function.…”

Section: Analytic Solutionsmentioning

confidence: 99%

“…Then the particle size or the size distribution of an aerosol becomes the dominant determining factor of single ber ef ciency since the diffusion coef cient is a function of particle size. The effect of particle size distribution was considered rst by Soderholm (1981) and Lee et al (1981), who extended the screen-type diffusion battery theory of Cheng and Yeh (1980) and to provide a more direct method for determining the mean particle size and deviation of log normal aerosol size distributions. Subsequently, the penetration of polydisperse aerosols in a screen-type diffusion battery was calculated numerically by Lee (1998), who employed Brownian diffusion and interception as the applicable deposition mechanisms.…”

Section: Introductionmentioning

confidence: 99%

Analytic Solutions to Diffusional Deposition of Polydisperse Aerosols in Fibrous Filters

Kwon¹,

Kim²,

Lee

2002

Aerosol Science and Technology

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Deposition of polydisperse aerosols by Brownian diffusion was studied analytically using the penetration ef ciency of monodisperse aerosols combined with the correlations among the moments of lognormal distribution functions. The analytic solutions, so obtained were validated using the exact solutions, which were applied to recalculate the ltration ef ciencies of the existing experimental data for various ltration conditions. It was found that the collection ef ciency of a brous lter should be corrected with respect to the position in the lter, if the particles are polydisperse. By considering the effect of the polydispersity of particle size, the analytic solutions showed good agreement with existing experimental data. It is believed that the present work makes it possible to determine the ltration ef ciency of polydisperse aerosols in brous lters and to estimate errors associated with the degree of polydispersity of the particles quickly and accurately for the diffusion dominant regime. INTRODUCTIONFiltration by brous lters is one of the principal methods used for removing particles in the submicron size range. Fibrous lters are relatively inexpensive and are simple to operate, yet they provide the most ef cient means of collecting submicron particles. Because of the increasing need to protect both human health and valuable devices from exposure to ne particles, ltration has become more important. In the case of the ltration of very small particles, the effects of inertia, gravitational settling, and interception can be neglected and Brownian diffusion becomes the dominant mechanism for particle collection. The single ber ef ciency due to diffusion is a function of ow

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“…The method proposed by Fuchs et al (1962) is less laborious than that of Pollak and Metnieks (1957) but applicable only to a single-mode spectrum. Sansone and Weyel (1971) and Kravchenko et al (1971) applied the method of Fuchs et al (1962) to the circular tubes, and Lee et al (1981) extended this approach to the screentype diffusion battery. Mercer and Greene (1974) simplified the graphical method of Fuchs et al (1962) by consolidating the numerous families of theoretical penetration curves into a single family.…”

Section: Introductionmentioning

confidence: 99%

Aerosol diffusion battery: The retrieval of particle size distribution with the help of analytical formulas

Onischuk

Baklanov

Valiulin

et al. 2017

Aerosol Science and Technology

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A new algorithm is proposed for the determination of aerosol particle size distribution from a set of screen diffusion battery penetrations. The idea is to determine the size spectra of the fractions of particles separated by the sections of diffusion battery, so the total size distribution is the sum of the spectra of fractions. The spectrum of each fraction is approximated by the lognormal function, which is defined by two parameters: the standard geometric deviation (SGD) and geometric mean diameter. The SGD value is chosen to be 1.35 for each fraction. The geometric mean diameters of fractions are calculated from the diffusion battery penetrations. For this purpose, analytical formulas are derived to link the mean single-fiber collection efficiency for each fraction with the experimentally measured penetrations. Then the mean diameters of fractions are calculated from the collection efficiencies using the fan model filtration theory. To achieve a better size resolution, numerical approach is proposed to calculate the particle size spectrum using the analytical solution as an initial approximation. The validity of the analytical and numerical solutions is investigated by comparing them with the spectra determined by means of transmission electron microscopy and gravity settling. For this purpose, the aerosol is generated using the evaporation-nucleation technique, Collison-type nebulizer, and hot-wire bulb generator. It is found that the analytical solution demonstrates a good sizing accuracy but relatively poor size resolution, while the numerical approach results in both good sizing accuracy and good size resolution for the two-mode aerosol.

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Extension of the screen type diffusion battery theory

Cited by 12 publications

References 4 publications

A Novel Size-Selective Airborne Particle Size Fractionating Instrument for Health Risk Evaluation

A Novel Size-Selective Airborne Particle Size Fractionating Instrument for Health Risk Evaluation

Analytic Solutions to Diffusional Deposition of Polydisperse Aerosols in Fibrous Filters

Aerosol diffusion battery: The retrieval of particle size distribution with the help of analytical formulas

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