Simulation of multicomponent aerosol condensation by the moving sectional method

Kim, Yong P; Seinfeld, John H.

doi:10.1016/0021-9797(90)90299-4

Cited by 83 publications

(50 citation statements)

References 19 publications

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“…Warren and Seinfeld 115 modified the condensation expression using a number-conserving scheme to reduce the numerical-diffusion problem, but the problem could not be solved completely. Other methods, such as moving sectional methods, 114,116 have been developed, but they are not desirable for simulating systems with coagulation 116 and nucleation. 111 Recently, models using combined moving and stationary size grids 111 have been developed and have been shown to inhibit numerical diffusion.…”

Section: Characteristic Times For Aerosol Formation and Growthmentioning

confidence: 99%

“…Several studies have been conducted for condensation systems to study the effects of section spacing through comparison of the predicted distribution function with the analytical solution. 98,108,110,116 It has been shown that fewer errors are produced if a smaller section spacing is used. However, the resultant errors in the integral aerosol properties (considered more important in most applications) are seldom evaluated.…”

Section: Characteristic Times For Aerosol Formation and Growthmentioning

confidence: 99%

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Control of Toxic Metal Emissions from Combustors Using Sorbents: A Review

Biswas

1998

Journal of the Air & Waste Management Association

172

123

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This paper constitutes a review of the control of toxic metal emissions using sorbents. The objective of sorbent-injection methods is to effectively capture the metal species (preferably transform it to an environmentally benign form) and to suppress the fraction in the submicrometer mode. The design of an effective sorbent-injection methodology thus requires an understanding of the fate of the metallic species and its transformation pathways (transfer to the gas phase, subsequent chemistry at high temperatures, and aerosol formation and growth dynamics) in the combustor. Several different sorbent methodologies used for metals capture are discussed, and a mechanistic description is provided. The need for further experimentation and pilot scale testing is also emphasized.

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Section: Characteristic Times For Aerosol Formation and Growthmentioning

confidence: 99%

Section: Characteristic Times For Aerosol Formation and Growthmentioning

confidence: 99%

Control of Toxic Metal Emissions from Combustors Using Sorbents: A Review

Biswas

1998

Journal of the Air & Waste Management Association

172

123

View full text Add to dashboard Cite

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“…Surface growth generally introduces numerical di usion for ÿxed SM as noted in Wu and Flagan (1988) and Kim and Seinfeld (1990). Moving SM (Kim & Seinfeld, 1990;Kumar & Ramkrishna, 1997;Spicer, Chaoul, Tsantilis, & Pandis, 2002) can eliminate numerical di usion by surface growth and have been used in the past quite successfully.…”

Section: Introductionmentioning

confidence: 99%

“…Moving SM (Kim & Seinfeld, 1990;Kumar & Ramkrishna, 1997;Spicer, Chaoul, Tsantilis, & Pandis, 2002) can eliminate numerical di usion by surface growth and have been used in the past quite successfully. However, these are not easily integrated into multi-dimensional simulations where one wants to use the same set of size bins at every spatial point in the simulation.…”

Section: Introductionmentioning

confidence: 99%

Aerosol dynamics modeling of silicon nanoparticle formation during silane pyrolysis: a comparison of three solution methods

Talukdar

Swihart

2004

Journal of Aerosol Science

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A numerical model has been developed to predict gas-phase nucleation, growth, and coagulation of silicon nanoparticles formed during thermal decomposition of silane. A detailed chemical kinetic model of particle nucleation was coupled to an aerosol dynamics model that includes particle growth by surface reactions, coagulation with instantaneous coalescence, and convective transport. Solution of the aerosol general dynamic equation was handled by three approaches: (1) the e cient and reasonably accurate method of moments; (2) the quadrature method of moments, which requires no prior assumption of the shape of the particle size distribution; and (3) a computationally more expensive sectional method (SM). The SM includes a conceptually simple and computationally e cient algorithm for treating coagulation that is found to be superior to widely used methods from the literature. All three approaches gave similar results for the evolution of the ÿrst few moments of the particle size distribution. The SM was able to capture the bimodal distribution that appears brie y at short residence times due to simultaneous nucleation and coagulation. At longer residence time, only coagulation remains important and both the sectional and moment methods give very similar results as they approach the self-preserving size distribution. ?

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“…In numerical applications we want to know the dependent variable at discrete values of the independent ones. If the amount of each species is de® ned through n¦ discrete positions, we have to work at any time with n¦ nc variables (a very large number; Kim and Seinfeld 1990) , which today's computers cannot easily treat for re alistic cases. This approac h has not been used in the applications until now, except by Kim and Seinfeld (1992) , with nc = 2 and n¦ being small.…”

Section: J M Fern âAndez-d âõ Az Et Almentioning

confidence: 99%

Analytic Solution of the Aerosol Rigorous General Dynamic Equation Without Coagulation in Multidimension

Fernández‐Díaz

Braña

García

et al. 1999

Aerosol Science and Technology

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ABSTRACT. We present the an alytic solution to the problem of multicomponent aerosol evolution due to condensation and /or evaporation of its components, sources, and deposition mechanisms. We use the rigorou s formulation , which utilizes a p article number distribution depending on time and on the am ount of each component, being that the particle size is a derived variable. This allows us to an alyze the aerosol without the usual assumption of intern al mixing. We solve the hyperbolic equ ation obtained through the method of characteristic curves. When all components condense, the obtained solution is always valid. When some of the components evaporate, the problem is more complex and its solution (which is not provided here) has to incorporate nonlinear phenomen a such as shock and rarefaction waves, which are dif® cult to h andle. The an alytic solution s can be used to validate the numerical methods th at could be developed in the future for more complex cases. We h ave an alyzed a bicomponent case, and we h ave shown th at in the aerosol evolution followin g condensation, nearly vertical ª wallsº appear in the particle size distribution.

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Simulation of multicomponent aerosol condensation by the moving sectional method

Cited by 83 publications

References 19 publications

Control of Toxic Metal Emissions from Combustors Using Sorbents: A Review

Control of Toxic Metal Emissions from Combustors Using Sorbents: A Review

Aerosol dynamics modeling of silicon nanoparticle formation during silane pyrolysis: a comparison of three solution methods

Analytic Solution of the Aerosol Rigorous General Dynamic Equation Without Coagulation in Multidimension

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