Brownian Coagulation of Fractal Agglomerates: Analytical Solution Using the Log-Normal Size Distribution Assumption

Park, S.H.; Xiang, R. B.; Lee, K.W.

doi:10.1006/jcis.2000.7102

Cited by 25 publications

(16 citation statements)

References 17 publications

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“…Therefore, we approximate those quantities by setting σ = σ o . This type approximation has proven to be quite reasonable (15,17). As will be shown from the results, the fact that σ does not diverge but always converges to a certain value justifies this further.…”

mentioning

confidence: 60%

“…Recently, we derived an analytical solution that resolves the size distribution of a coagulating agglomerates system in the continuum regime (17). Time-dependent size distributions of fractal agglomerates undergoing Brownian coagulation were assumed to preserve a log-normal function.…”

Section: Introductionmentioning

confidence: 99%

“…Substituting Eqs. [16] and [17] into Eq. [14] or [15], we have 9 exp [18] where N o is the initial value of N [=M 0 ] and…”

mentioning

confidence: 98%

See 2 more Smart Citations

Change in Particle Size Distribution of Fractal Agglomerates during Brownian Coagulation in the Free-Molecule Regime

Park

Lee

2002

Journal of Colloid and Interface Science

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mentioning

confidence: 60%

Section: Introductionmentioning

confidence: 99%

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Change in Particle Size Distribution of Fractal Agglomerates during Brownian Coagulation in the Free-Molecule Regime

Park

Lee

2002

Journal of Colloid and Interface Science

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“…In these studies different types of aerosols have been used, such as tobacco smoke (Keith, 1982;Morawaska et al, 1997;Robinson et al, 1999), diesel/engine exhaust (Kittelson, 1998;Khalek et al, 2000;Schnell et al, 2004), sodium chloride (Park et al, 2000) etc. All these studies are pertaining to determination of coagulation rate coefficient and deposition rate independently.…”

Section: Introductionmentioning

confidence: 99%

Investigation of Aerosol Mass and Number Deposition Velocity in a Closed Chamber

Misra

Subramanian

Kumar

et al. 2013

Aerosol Air Qual. Res.

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In the event of a core disruptive accident in a sodium cooled fast reactor, the Reactor Containment Building (RCB) is bottled-up with coolant (sodium), fuel and fission product aerosols. The aerosols suspended in the closed environment undergo coagulation and gravitational settling. Sodium aerosols are generated by combustion, while fission product aerosols are generated by vaporization and condensation, with the resulting particles having two flow regimes. It is expected that the mass concentration of sodium aerosols is relatively high, on the order of a few g/m 3 , while that of the fuel and fission products is only a few mg/m 3 . Taking into account the concentration criteria, experiments are carried out by generating sodium aerosols (mono dispersed) with the concentration of 3.0 g/m 3 , and the deposition velocity over time is determined by mass measurements (concentration and flux). Similarly, non-radioactive species of SrO 2 aerosols are generated (mono dispersed) with a number concentration of 10 6 /cm 3 , and their deposition velocity over time is determined by number measurements (concentration and flux). The mass deposition velocity of sodium aerosols was found to be more than two orders of magnitude greater than the number deposition velocity of SrO 2 aerosols. As the SrO 2 aerosols are generated in the free molecular regime, the depletion pattern of the number concentration of suspended aerosols follows a process of simultaneous coagulation and settling. A theoretical formulation for the rate of depletion of the number concentration is developed, and the rate coefficients of coagulation and deposition velocity are determined from the theoretically fitted equation. The experimental and theoretical results are compared and found to be nearly same. The deposition velocity of sodium aerosols is used to predict the deposition time for the suspended aerosol mass concentration inside the RCB. The mass and number deposition velocities are determined by using a state of art Turn Table Instrument fabricated in our lab.

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“…Equation (1) also can be used for solving coagulation of agglomerate particles by modifying the collision kernel to account for the structure effect under the assumption that the mass fractal dimension and primary particle size are constant (Matsoukas and Friedlander 1991;Park et al 2000;Vemury and Pratsinis 1995). If the primary particle size growth is to be considered, however, agglomerate geometry cannot be characterized by volume alone.…”

Section: Aerosol Dynamics Equationmentioning

confidence: 99%

A One-Dimensional Model for Coagulation, Sintering, and Surface Growth of Aerosol Agglomerates

Park

Rogak

2003

Aerosol Science and Technology

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The size of the primary particles in aerosol agglomerates is determined in part by the interplay of surface growth, coagulation, and sintering. These processes are modelled by a one-dimensional (1-D) discrete-sectional model, DISGLOM2, which predicts the evolution of agglomerate and primary particle size distributions. DISGLOM2 is an extended version of DISGLOM (Rogak 1997), in which particles smaller than the "melting diameter" were assumed to sinter instantly while bigger particles did not sinter at all. Gradual sintering, "condensational obliteration" (whereby primary particles are lost during heavy surface growth), and diffusional wall deposition have been incorporated into DISGLOM2. Results from DISGLOM2 were comparable with those from 2-D sectional models, but DISGLOM2 was much faster. In addition, DISGLOM2 includes the effects of "condensation" of small spherical particles on large agglomerates, which were not modelled previously. The effect of condensation was shown to be significant at low temperature. DISGLOM2 was used to predict the primary particle diameter of titania particles generated by precursor reaction. By adding gradual sintering, the growth rate of agglomerate particles by coagulation was slightly decreased and the primary particle size considerably increased compared with the results given by DISGLOM. Although DISGLOM2 is an efficient model of the relevant physical processes, the predictions are sensitive to the kinetics of precursor reactions and particle sintering, which can be difficult to characterize in real experimental systems.

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Brownian Coagulation of Fractal Agglomerates: Analytical Solution Using the Log-Normal Size Distribution Assumption

Cited by 25 publications

References 17 publications

Change in Particle Size Distribution of Fractal Agglomerates during Brownian Coagulation in the Free-Molecule Regime

Change in Particle Size Distribution of Fractal Agglomerates during Brownian Coagulation in the Free-Molecule Regime

Investigation of Aerosol Mass and Number Deposition Velocity in a Closed Chamber

A One-Dimensional Model for Coagulation, Sintering, and Surface Growth of Aerosol Agglomerates

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