An Analytic Solution to Free Molecule Aerosol Coagulation

Lee, K. W.; Curtis, Leslie; Chen, H.

doi:10.1080/02786829008959360

Cited by 45 publications

(21 citation statements)

References 6 publications

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“…While coagula tion in this regime is normally solved by numerical simulation, an approximate solution in analytical form has been derived. 21) This analytical solution gives reasonable agreement with numerical simulation within practical conditions. Ac cording to the analysis, the progress of s g and the geometric mean particle volume (n g ) are expressed as follows.…”

Section: Particle Size Distributionsupporting

confidence: 65%

Particle Size Distribution of SnO2 Nano-Particles Synthesized by Pulsed Wire Discharge

義明

公泰

広司

et al. 2004

J. Ceram. Soc. Japan

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pX×üúd@Éaeé SnO 2 im±qÌ±aªz nÚ`¾E²¡ö×EnLiE3 éÞ Eºä[êÞ E¼vKÞ E] ÌØÞ Eªä òÞThe variation in particle size distribution of SnO 2 nanoparticles by the pulsed wire discharge (PWD) process has been clarified. Special attention has been paid for the influence of both synthesis conditions of ambient pressure and charging voltage on the distribution. The geometric standard deviation (s g ) and the count mean diameter (d ) were clearly influenced by these conditions. This can be summarized by means of a parameter being propor tional to the plasma expansion volume. It was found that s g and d monotonically decreased with increasing this parameter. This tendency can be explained by the reported results of numerical simulations in which both coagu lation and chemical reaction in the free molecule regime are taken into account, indicating that a relatively slow reaction rate compared to the coagulation rate broadens the particle size distribution during PWD process.

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Section: Particle Size Distributionsupporting

confidence: 65%

Particle Size Distribution of SnO2 Nano-Particles Synthesized by Pulsed Wire Discharge

義明

公泰

広司

et al. 2004

J. Ceram. Soc. Japan

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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: 63%

“…[22] through (24) represent the solution for the spherical particles that was previously given by Lee et al (1990).…”

Section: Discussionmentioning

confidence: 99%

“…The purpose of this study is to extend the study of Lee et al (15) and Park et al (17) to develop an analytical solution which gives the size distribution change of coagulating agglomerates in the free-molecule regime for the entire coagulation time.…”

Section: Introductionmentioning

confidence: 98%

“…[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: 99%

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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Quasi‐Self‐Preserving Log‐Normal Size Distributions in the Transition Regime

Otto¹,

Stratmann²,

Fißan³

et al. 1994

Part & Part Syst Charact

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A log-normal model, based on the extended SIMPLER-tion moments. Applying the log-normal model a simple algorithm utilizing the Modal Aerosol Dynamics Modelling coagulation model consisting of a closed set of five equations Technique, and a sectional model are compared for Brownian is developed that does not require the solution of ordinary difcoagulation in the transition regime. The models are in good ferential equations. agreement with respect to the calculated particle size distribu-

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An Analytic Solution to Free Molecule Aerosol Coagulation

Cited by 45 publications

References 6 publications

Particle Size Distribution of SnO2 Nano-Particles Synthesized by Pulsed Wire Discharge

Particle Size Distribution of SnO2 Nano-Particles Synthesized by Pulsed Wire Discharge

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

Quasi‐Self‐Preserving Log‐Normal Size Distributions in the Transition Regime

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