Translation Brownian Diffusion Coefficient of Large (Multiparticle) Suspended Aggregates

Tandon, Pushkar; Rosner, Daniel E.

doi:10.1021/ie00037a013

Cited by 34 publications

(42 citation statements)

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“…Data included are: circle with X the data of Wiltzius (1987), circles with plus sign are the data of Wang and Sorensen (1999). Other theory includes: open circles, Rogak and Flagan (1990); open squares, Tandon and Rosner (1995). calculation of the coefficient β, viz.…”

Section: Figmentioning

confidence: 99%

“…They calculated β = 0.67 for such clusters when D f = 1.79 and β = 0.73 when D f = 2.1. Reanalysis of diffusivity calculations by Tandon and Rosner (1995) led to β = 0.71 and 0.95 for D f = 1.8 and 2.18, respectively. These theoretical values are included in Figure 3.…”

Section: Figmentioning

confidence: 99%

“…There is a significant body of work that treats the fractal aggregate as a porous and permeable object to calculate the mobility radius (Adler 1987;Tandon and Rosner 1995;Veerapaneni and Wiesner 1996;Coelho, et al 1997;Vanni 2000;Kim and Stolzenbach 2002;Lattuada, Wu, and Morbidelli 2004;Vainshtein, Shapiro, and Gutfinger 2004;Vainshtein and Shapiro 2005). These porous sphere models assume that the aggregate is spherical and require knowledge of the radial density distribution function from which the permeability is calculated.…”

Section: Figmentioning

confidence: 99%

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The Mobility of Fractal Aggregates: A Review

Sorensen

2011

Aerosol Science and Technology

308

298

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A review of the experimental and theoretical literature describing the mobility of fractal aggregates over the previous three decades is presented. Aggregates are those formed via both diffusion and reaction limited cluster-cluster aggregation processes, DLCA and RLCA, which form aggregates with fractal dimensions and prefactors of ca. 1.78 and 1.3 and 2.1 and 0.94, respectively. Emphasis is placed on DLCA aggregates. The entire Knudsen number range from continuum to free molecular is reviewed. The review finds a simple and general consensus description of mobility for the entire range.

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Section: Figmentioning

confidence: 99%

Section: Figmentioning

confidence: 99%

Section: Figmentioning

confidence: 99%

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The Mobility of Fractal Aggregates: A Review

Sorensen

2011

Aerosol Science and Technology

308

298

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“…This speed reduction is due to the increasing frictional resistance of the carrier gas. Different ways of incorporating the frictional resistance of the carrier gas into the simulations include using empirical expressions of diffusive mobility in fractal aggregates coming from laboratory measurements [18] and assimilating the agglomerate to a porous medium [19,20]. A common feature of these methods is that in some step of the process the agglomerate is characterized by a single parameter, which misses somewhat the agglomerate geometry.…”

Section: Introductionmentioning

confidence: 99%

Influence of primary-particle density in the morphology of agglomerates

2014

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Agglomeration processes occur in many different realms of science such as colloid and aerosol formation or formation of bacterial colonies. We study the influence of primary particle density in agglomerate structure using diffusion-controlled Monte Carlo simulations with realistic space scales through different regimes (DLA and DLCA). The equivalence of Monte Carlo time steps to real time scales is given by Hirsch's hydrodynamical theory of Brownian motion. Agglomerate behavior at different time stages of the simulations suggests that three indices (fractal exponent, coordination number and eccentricity index) characterize agglomerate geometry. Using these indices, we have found that the initial density of primary particles greatly influences the final structure of the agglomerate as observed in recent experimental works.

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“…Flow through porous permeable agglomerates and their settling had been the subject of extensive research (Debye & Bueche, 1948;Sutherland & Tan, 1970;Matsumoto & Suganuma, 1977;Neale, Epstein, & Nader, 1973;Veerapaneni & Wiesner, 1996;Tandon & Rosner, 1995;Vanni, 2000). In addition to size and shape, drag force F experienced by a porous particle depends on its permeability, k. Generically this property relates the gas ow rate Q permeating through cross-sectional area A of a porous slab of thickness L with the resulting viscous pressure drop p via the Darcy equation (Scheidegger, 1960;Adler, 1992;cf.…”

Section: Introductionmentioning

confidence: 99%