Alternative analytical solution to condensational growth of polydisperse aerosols in the continuum regime

Park, S.H; Lee, K.W; Okuyama, Kikuo

doi:10.1016/s0021-8502(00)00076-8

Cited by 23 publications

(33 citation statements)

References 14 publications

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“…Many previous modeling studies have attempted to understand the effects of these different processes on the aerosol distribution (see e.g. Pich et al, 1970;Lee, 1983;Barrett and Clement, 1988;Kulmala et al, 1989;Williams, 1995;Jacobson, 1999;Park and Lee, 2000;Park et al, 2001;Kulmala, 2003;Kulmala et al, 2004a). Some studies estimate that the transfer of organic carbon from hydrophobic to hygroscopic occurrs in the order of 2-3 days (Reddy and Boucher, 2004;Cooke et al, 2002), and in general, the residence time of black carbon and organic matter in the atmosphere is a function of its hygroscopicity (Cooke et al, 2002), indicating that the hygroscopicity of particles in the atmosphere depends on the chemical nature of the organic aerosol component.…”

Section: Introductionmentioning

confidence: 99%

The characterisation of pollution aerosol in a changing photochemical environment

et al. 2006

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Abstract. Measurements are presented from a sampling location 50 km downwind of Greater London, UK, to investigate the timescales required for the atmospheric transformations of aerosol in urban emissions plumes in the context of photochemical age based on the benzene to toluene ratio. It is shown that particles at or around 100 nm in diameter exhibit the greatest systematic variability in chemical properties, and thus hygroscopic properties, on a timescale of 1-2 days. The smaller Aitken mode and larger accumulation mode particles exhibit less variability on these timescales, which we propose is as a result of their different residence times in the atmosphere. The larger accumulation particles have been in the atmosphere longer than the 100 nm particles and their chemistry and hygroscopic properties have been integrated over several days and potentially over several source regions. In contrast, the smaller Aitken mode particles show little systematic variability with photochemical age because their atmospheric lifetimes are short, thus chemical changes and hence changes in water affinity have not had time to occur. Increases in the particle diameter of up to 40% are observed at 90% relative humidity in the accumulation mode from the uptake of water as the particles become increasingly soluble in nature.

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Section: Introductionmentioning

confidence: 99%

The characterisation of pollution aerosol in a changing photochemical environment

et al. 2006

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“…The second term indicates the rate of disappearance of particles of volume v as a result of collisions with any other particle. Generally speaking, there are two classes methods suitable for addressing above PBE: (1) The deterministic methods such as sectional methods (Landgrebe and Pratsinis, 1990;Wu and Biswas, 1998;Jeong and Choi, 2001;Mitrakos et al, 2007), methods of moment (Park et al, 2001;Terry et al, 2001;Yamamoto, 2004;Yu et al, 2008;Yamamoto, 2012); (2) The non-deterministic methods such as Monte Carlo (MC) methods (Garcia et al, 1987;Liffman, 1992;Smith and Matsoukas, 1998;Kruis et al, 2000;Efendiev and Zachariah, 2002;Maisels et al, 2004;Zhao et al, 2009). Among all these methods, MC methods are particularly suitable and effective due to several reasons: (1) MC methods are essentially a statistical method, making them suitable for describing the inherently discrete processes such as coagulation; (2) MC methods exhibit great flexibility and scalability when new characteristic of particles needs to be incorporated, because they treat each simulation particle as an individual object having some properties such as sizes, positions, charges, etc.…”

Section: T V U U N U T N V U T Du T N V T V U N U T Dumentioning

confidence: 99%

A Majorant Kernel-Based Monte Carlo Method for Particle Population Balance Modeling

Wei

2014

Aerosol Air Qual. Res.

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A computationally efficient Monte Carlo method using majorant kernel scheme for particle coagulation is presented in this note. The key is to use majorant kernel in the evaluation of the maximum coagulation rate, which is computationally time consuming, in hope of reducing the computational cost. The proposed scheme is verified by means of a deterministic sectional method for Brownian collision kernel. The computational efficiency of the scheme proposed has also been measured by comparing with sectional method and Monte Carlo methods using other schemes.

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“…Different methods are available at this point to solve above integro-differential equation, including sectional methods (Landgrebe and Pratsinis, 1990;Wu and Biswas, 1998;Jeong and Choi, 2001;Mitrakos et al, 2007;Yamamoto, 2012), methods of moment (Park and Lee, 2001;Terry et al, 2001;Yamamoto, 2004;Yu et al, 2008) and Monte Carlo methods (Garcia et al, 1987;Liffman, 1990;Simith and Matsoukas, 1998;Kruis et al, 2000;Lee and Matsoukas, 2000;Efendiev and Zachariah, 2002;Maisels et al, 2004;Zhao and Kruis, 2008). All these methods have different precision, algorithm complexity and computational efficiency.…”

Section: U U N U T N V U T Du T N V T V U N U T Dumentioning

confidence: 99%

A Fast Monte Carlo Method Based on an Acceptance-Rejection Scheme for Particle Coagulation

Wei

2013

Aerosol Air Qual. Res.

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A fast acceptance-rejection scheme that can boost the performance of Monte Carlo methods for particle coagulation has been designed and validated in this article. The central idea behind this scheme is to perform a fast evaluation of the maximum coagulation rate by making full use of the information of those particle pairs that are already generated to determine the desired coagulation pair. To this end, numerical experiments are carried out to establish a connection between the average coagulation rate obtained from information of those already generated particle pairs and the maximum coagulation rate. The correctness of the proposed scheme is then validated by comparing it to some established methods, adopting a physically realistic Brownian coagulation kernel. The computational efficiency of the fast AR scheme is finally measured.

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Alternative analytical solution to condensational growth of polydisperse aerosols in the continuum regime

Cited by 23 publications

References 14 publications

The characterisation of pollution aerosol in a changing photochemical environment

The characterisation of pollution aerosol in a changing photochemical environment

A Majorant Kernel-Based Monte Carlo Method for Particle Population Balance Modeling

A Fast Monte Carlo Method Based on an Acceptance-Rejection Scheme for Particle Coagulation

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