Brownian Coagulation of Knudsen Particles on Evaporating/Condensing Aerosol Droplet; Modeling of Capture of Soot Particles by Marine Fog

Sitarski, Marek

doi:10.4209/aaqr.2012.05.0140

Cited by 3 publications

(2 citation statements)

References 21 publications

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“…Because of Brownian coagulation, the particle systems are always unstable, even in the absence of turbulence (Friedlander, 2000;Crowe et al, 2011;Sitarski, 2012;Wei, 2013). The theory for Brownian coagulation was originally devised for liquids by Smoluchowski (1917) and was subsequently applied in other chemical process and environmental fields.…”

Section: Introductionmentioning

confidence: 99%

A New Analytical Solution for Solving the Smoluchowski Equation Due to Nanoparticle Brownian Coagulation for Non-Self-Preserving System

Seipenbusch

Yang

et al. 2014

Aerosol Air Qual. Res.

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The Smoluchowski equation has become a fundamental equation in nanoparticle processes since it was proposed in 1917, whereas the achievement of its analytical solution remains a challenging issue. In this work, a new analytical solution, which is absolutely different from the conventional asymptotic solutions, is first proposed and verified for nonself-preserving nanoparticle systems in the free molecular regime. The Smoluchowski equation is first converted to the form of moment ordinary differential equations by the performance of Taylor expansion method of moments and subsequently resolved by the separate variable technique. In the derivative, a novel variable, g = m 0 m 2 /m 1 2 , where m 0 , m 1 and m 2 are the first three moments, is first revealed which can be treated as constant. Three specific models are proposed, two with a constant g (an Analytical Model with Constant g (AMC), and a Modified Analytical Model with Constant g (MAMC)), and another with varying g (a finite Analytical Model with Varying g (AMV)). The AMC model yields significant errors, while its modified version, i.e., the MAMC model, is able to produce highly reliable results. The AMV is verified to have the capability to solve the Smoluchowski equation with the same precision as the numerical method, but an iterative procedure has to be employed in the calculation.

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Section: Introductionmentioning

confidence: 99%

A New Analytical Solution for Solving the Smoluchowski Equation Due to Nanoparticle Brownian Coagulation for Non-Self-Preserving System

Seipenbusch

Yang

et al. 2014

Aerosol Air Qual. Res.

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“…Hence, the size of the sodium aerosols, formed at given humidity condition and suspended in a confined environment, changes by (i) accumulation of water vapour over particle followed by chemical conversion (Sitarski, 2012) and (ii) coagulation by physical process. Hence an experimental investigation was conducted by generating aerosols in a closed chamber and on-line measurement of particle size (Mass Median Diameter -MMD) with progress of time is carried out.…”

Section: Introductionmentioning

confidence: 99%

Size Evolution of Sodium Combustion Aerosol with Various RH%

Kumar

Subramanian

Baskaran

et al. 2015

Aerosol Air Qual. Res.

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Studies on sodium aerosol characteristics are very important for fast reactor safety. Physical and chemical changes that occur at various times at various atmospheric conditions to sodium aerosols would results particles in various diameters. In this context, a study has been conducted in Aerosol Test Facility, Radiological Safety Division, in which sodium combustion aerosols were generated in a controlled manner and made to hover in a confined volume. The particle diameter (Mass Median Diameter -MMD) is measured on-line with progress of time by using Mastersizer. The experiments are conducted by generating aerosols in two different mass concentrations viz. 3.0 g m -3 and 0.5 g m -3 and in three different relative humidity conditions viz. 20%, 50% and 90% to show the influence of relative humidity on the particle diameter. A theoretical simulation of particle growth due to coagulation is drawn and compared with the experimental value. It is observed that sodium combustion aerosols size grow due to absorption of moisture (hygroscopic growth) in the initial period of times say in first 20 minutes followed by Brownian coagulation. An empirical relation is determined based on the difference between coagulation growth and experimental observation and applied to match experimental observation of particle diameter. A detailed experimental procedure, theoretical simulation and comparison of results of particle growth between experimental observation and theoretical simulation are presented in this paper.

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