Ion-Aerosol Attachment Coefficients and the Diffusional Charging of Aerosols

Hoppel, W. A.

doi:10.1007/978-3-642-85294-7_9

Cited by 15 publications

(15 citation statements)

References 10 publications

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“…The calculation method and selected equations as outlined in the papers of Hoppel andFrick (1986, 1990) were corrected and some additional information on the calculation procedure was given. The results show significant differences in comparison to the values calculated according to the widely used theory of Fuchs (1963) and to the data published by Hoppel andFrick (1986, 1990).…”

Section: Discussionmentioning

confidence: 99%

“…where the ionic flow to the particle surface can be given as (Hoppel andFrick, 1986 andReischl et al 1996):…”

Section: The Concept Of the Limiting Spherementioning

confidence: 99%

“…The length of the perpendicular, which at the same time protrudes through the particle center, is defined as the impact parameter (b = 0 − δ). Fuchs calculated b by means of the minimal distance between the ion and the particle center r min (Hoppel andFrick 1986, Wen et al 1984):…”

Section: The Concept Of the Limiting Spherementioning

confidence: 99%

“…Nevertheless, based on the obtained ion-ion trapping distances the kinetic energy E kin in the direction of the recombination partner gained after the last collision of an ion with a 844 Y. G. STOMMEL AND U. RIEBEL gas molecule and before the arrival at the trapping distance was considered (Hoppel andFrick 1986, 1990):…”

Section: The Concept Of Three Body Trappingmentioning

confidence: 99%

“…This means that d I,I (or χ ) equals the distance at which an ion-gas molecule collision results in an energy loss to the gas molecule, which ensures the capture of the ion on the ion or on the particle of opposite polarity (Hoppel 1977). Equation (29) assumes that the complete kinetic energy of the ion is absorbed by the gas molecule upon collision (Hoppel and Frick 1989).…”

Section: The Concept Of Three Body Trappingmentioning

confidence: 99%

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Comment on the Calculation of the Steady-State Charge Distribution on Aerosols < 100 nm by Three Body Trapping Method in a Bipolar Ion Environment

Stommel

Riebel

2007

Aerosol Science and Technology

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The theory of Fuchs (1963) is widely used for calculation of the steady-state charge distribution on (submicron) aerosol particles in a bipolar ion environment. Hoppel and Frick (1986) and others showed that the Fuchs theory is no longer valid for particle diameters in the order of magnitude of the ionic mean free path. In their 1986 and 1990 papers, Hoppel and Frick published a new calculation method based on the concept of thee-body trapping, which is applicable for small particles down to the size of ions. Some print and procedure mistakes were made in the named publications. Additionally some important calculation information was not given. In this article, the relevant equations are shown, corrected and appended. A recalculation of the charge distributions for small particles based on three-body trapping shows a pronounced difference in comparison to data calculated according to the theory of Fuchs.

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Section: Discussionmentioning

confidence: 99%

“…where the ionic flow to the particle surface can be given as (Hoppel andFrick, 1986 andReischl et al 1996):…”

Section: The Concept Of the Limiting Spherementioning

confidence: 99%

Section: The Concept Of the Limiting Spherementioning

confidence: 99%

Section: The Concept Of Three Body Trappingmentioning

confidence: 99%

Section: The Concept Of Three Body Trappingmentioning

confidence: 99%

See 3 more Smart Citations

Comment on the Calculation of the Steady-State Charge Distribution on Aerosols < 100 nm by Three Body Trapping Method in a Bipolar Ion Environment

Stommel

Riebel

2007

Aerosol Science and Technology

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The ion–aerosol interactions from the ion mobility and aerosol particle size distribution measurements on January 17 and February 18, 2005 at Maitri, Antarctica – A case study

2011

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CFD Simulation of the Filtration Performance of Fibrous Filter Considering Fiber Electric Potential Field

Hou

Zhou

Xiao

et al. 2019

Trans. Tianjin Univ.

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Aiming at disclosing the quantitative effects of Coulomb forces on the filtration efficiency of aerosol particles, a threedimensional random fiber model was established to describe the microstructure of fibrous filters. Then, computational models including the flow model, particle model, and electric field model were constructed to estimate the filtration efficiency using the Fluent custom user-defined function program, neglecting the non-uniformity of the fiber potential and the particle charge distribution. The simulation results using the established models agreed with the data in the literature. In particular, the electric field force was found to be one of the important factors required to improve the filtration efficiency estimation accuracy for the ultrafine particles. Moreover, the variation tendencies of the filtration efficiency and the pressure drop of fibrous filters were studied based on the influence factors of the fiber potential, particle charge-to-mass ratio, solid volume fraction, fiber diameter, and face velocity. The established models and estimated results will provide important guidance on the design of high-efficiency particulate air filters for aerosol particles.

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Ion-Aerosol Attachment Coefficients and the Diffusional Charging of Aerosols

Cited by 15 publications

References 10 publications

Comment on the Calculation of the Steady-State Charge Distribution on Aerosols < 100 nm by Three Body Trapping Method in a Bipolar Ion Environment

Comment on the Calculation of the Steady-State Charge Distribution on Aerosols < 100 nm by Three Body Trapping Method in a Bipolar Ion Environment

The ion–aerosol interactions from the ion mobility and aerosol particle size distribution measurements on January 17 and February 18, 2005 at Maitri, Antarctica – A case study

CFD Simulation of the Filtration Performance of Fibrous Filter Considering Fiber Electric Potential Field

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