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Original Articles

Mathematical Description of Experimentally Determined Charge Distributions of a Unipolar Diffusion Charger

, , , , , , & show all
Pages 708-716 | Received 02 Sep 2011, Accepted 26 Dec 2011, Published online: 09 Feb 2012

Figures & data

FIG. 1 Schematic of opposed flow diffusion charger.

FIG. 1 Schematic of opposed flow diffusion charger.

FIG. 2 Experimental set-up to measure particle charge distribution.

FIG. 2 Experimental set-up to measure particle charge distribution.

FIG. 3 Mobility distribution of 131-nm PSL particles (DMA flow rates: 1.5 l min–1 aerosol, 16.5 l min–1 sheath air).

FIG. 3 Mobility distribution of 131-nm PSL particles (DMA flow rates: 1.5 l min–1 aerosol, 16.5 l min–1 sheath air).

FIG. 4 Mean charge per particle in comparison with EAD/NSAM version (Jung and Kittelson Citation2005; Asbach et al. Citation2011).

FIG. 4 Mean charge per particle in comparison with EAD/NSAM version (Jung and Kittelson Citation2005; Asbach et al. Citation2011).

FIG. 5 Measured (symbols) and fitted (lines) data for the charged fraction as a function of particle size for 1–5 (top) and 6–10 (bottom) elementary charges.

FIG. 5 Measured (symbols) and fitted (lines) data for the charged fraction as a function of particle size for 1–5 (top) and 6–10 (bottom) elementary charges.

TABLE 1 Coefficients of lognormal charge distributions

FIG. 6 Fitting of parameters of lognormal distributions.

FIG. 6 Fitting of parameters of lognormal distributions.

TABLE 2 Empirical coefficients for Equation (2)

FIG. 7 Charge distributions calculated from Equations (1) and (2), with coefficients in ; symbols indicate measured data.

FIG. 7 Charge distributions calculated from Equations (1) and (2), with coefficients in Table 2; symbols indicate measured data.

TABLE 3 Regression coefficients of calculated (Equations 1 and 2) and measured charge fractions

FIG. 8 Charge distributions for 1–8 elementary charges from fitted distributions (according to Equations 1 and 2) and from Fuchs model with an nt product of 7 × 1012 s m−3, ion mobility of 1.15 × 10−4 m2 V−1 s−1, and ion mass of 0.13 kg mol−1.

FIG. 8 Charge distributions for 1–8 elementary charges from fitted distributions (according to Equations 1 and 2) and from Fuchs model with an nt product of 7 × 1012 s m−3, ion mobility of 1.15 × 10−4 m2 V−1 s−1, and ion mass of 0.13 kg mol−1.

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