1997
DOI: 10.1080/02786829708965494
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Analytical–Numerical Solution of the Multicomponent Aerosol General Dynamic Equation—with Coagulation

Abstract: ABSTRACT. A numerical procedure based on an analytical solution is presented for solution of the full multicomponent aerosol general dynamic equation. The analytical solution for the equation, accounting for growth, removal, and particle sources, is employed in an iterative procedure to account for coagulation. The iterative process is shown to be rapidly convergent, and its performance is validated by comparison with the exact solution for pure coagulation of a single-component aerosol. A simulation is presen… Show more

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Cited by 14 publications
(4 citation statements)
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“…While this method treats coagulation effects well, it does not conserve the number of particles in the system and poses significant difficulties in modeling all but the most elementary growth processes. The species mass distribution method addresses the number conservation caveats of the multicomponent sectionalization method by implementing a continuous analogue of the multicomponent sectionalization method. This can also be interpreted as reducing the dimensionality of multicomponent population balance problems via the internally mixed assumption, which states that particles of the same size all have the same composition and effectively reduces the governing equation set to ps equations representing each species in the system at p node points.…”
Section: Representation Of Population Balance Systemsmentioning
confidence: 99%
“…While this method treats coagulation effects well, it does not conserve the number of particles in the system and poses significant difficulties in modeling all but the most elementary growth processes. The species mass distribution method addresses the number conservation caveats of the multicomponent sectionalization method by implementing a continuous analogue of the multicomponent sectionalization method. This can also be interpreted as reducing the dimensionality of multicomponent population balance problems via the internally mixed assumption, which states that particles of the same size all have the same composition and effectively reduces the governing equation set to ps equations representing each species in the system at p node points.…”
Section: Representation Of Population Balance Systemsmentioning
confidence: 99%
“…the sectional method [15][16][17] and the fixed pivot method or cell average method [18][19][20]. The temporal model can explore some basic characteristics of the particulate system, however, its application is restricted by the homogeneity assumption to a limited number of scenarios since most of aerosol systems in industrial engineering or laboratory experiments are spatially inhomogeneous, i.e., multi-dimensional.…”
Section: Introductionmentioning
confidence: 99%
“…The inability of current numerical solutions to cover the entire particle size range (see Figure 1) often leads to large errors in the number density and size of particles as well as in the overall mass balance for the system. This shortfall represents a critical barrier in developing accurate models for a wide range of particulate processes; a survey of recent solution methods reveals that only in the special case of a volume reaction-limited growth rate mechanism can more than 2 orders of magnitude in particle size be modeled [6][7][8][9][10][11] (see Table 1). Attempts have been made to circumvent this issue by using moments to describe the shape of the number density distribution.…”
Section: Introductionmentioning
confidence: 99%