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Aerosol Science and Technology Volume 47, 2013 - Issue 7
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Original Articles

The Effects of Unresolved Scalar Fluctuations During Homogeneous Nucleation

N. J. MurfieldDepartment of Mechanical EngineeringUniversity of Minnesota, Minneapolis, Minnesota, USA
&
S. C. GarrickDepartment of Mechanical EngineeringUniversity of Minnesota, Minneapolis, Minnesota, USACorrespondence[email protected]
Pages 806-817 | Received 27 Mar 2012, Accepted 21 Jan 2013, Published online: 23 Apr 2013

Figures & data

Figure 1 FIG. 1 Flow schematic. (Color figure available online.)
Figure 1 FIG. 1 Flow schematic. (Color figure available online.)
Figure 2 FIG. 2 Instantaneous contours of vorticity magnitude at time t* = 81.79: (a) z = 0; (b) y = 0; and (c) y/D = 0.5. (Color figure available online.)
Figure 2 FIG. 2 Instantaneous contours of vorticity magnitude at time t* = 81.79: (a) z = 0; (b) y = 0; and (c) y/D = 0.5. (Color figure available online.)
Figure 3 FIG. 3 Cross-stream profiles of the time-averaged (a) normalized temperature,
, and (b) normalized DBP mass fraction,
.
Figure 3 FIG. 3 Cross-stream profiles of the time-averaged (a) normalized temperature, Display full size, and (b) normalized DBP mass fraction, Display full size.
Figure 4 FIG. 4 (a) Scatter plot of the nucleation rate, log10(J), versus saturation ratio, S, and (b) scatter plot of the normalized temperature, θ, versus normalized mass-fraction, φ, with lines of constant critical diameter, dc. (Color figure available online.)
Figure 4 FIG. 4 (a) Scatter plot of the nucleation rate, log10(J), versus saturation ratio, S, and (b) scatter plot of the normalized temperature, θ, versus normalized mass-fraction, φ, with lines of constant critical diameter, dc. (Color figure available online.)
Figure 5 FIG. 5 Contours of the nucleation rate particles/(m3·s): (a) instantaneous log10(J) on plane z = 0, at time t* = 81.79, and (b) time-averaged,
. (Color figure available online.)
Figure 5 FIG. 5 Contours of the nucleation rate particles/(m3·s): (a) instantaneous log10(J) on plane z = 0, at time t* = 81.79, and (b) time-averaged, Display full size. (Color figure available online.)
Figure 6 FIG. 6 Scatter plots of (a) the normalized, filtered temperature, ⟨θ⟩L, versus exact normalized temperature, θ, and (b) the normalized, filtered DBP mass-fraction, ⟨φ⟩L, versus the exact normalized DBP mass fraction, φ, at time t* = 81.79. The line of equal values is shown in gray. (Color figure available online.)
Figure 6 FIG. 6 Scatter plots of (a) the normalized, filtered temperature, ⟨θ⟩L, versus exact normalized temperature, θ, and (b) the normalized, filtered DBP mass-fraction, ⟨φ⟩L, versus the exact normalized DBP mass fraction, φ, at time t* = 81.79. The line of equal values is shown in gray. (Color figure available online.)
Figure 7 FIG. 7 Scatter plots of the saturation ratio based on the filtered temperature and DBP mass-fraction, SFL, versus the exact saturation ratio, S, at time t* = 81.79: (a) case 1 and (b) case 2. The line of equal values is shown in gray.
Figure 7 FIG. 7 Scatter plots of the saturation ratio based on the filtered temperature and DBP mass-fraction, SFL, versus the exact saturation ratio, S, at time t* = 81.79: (a) case 1 and (b) case 2. The line of equal values is shown in gray.
Figure 8 FIG. 8 Scatter plots of nucleation rate based on the filtered temperature and DBP mass-fraction, JFL, versus exact nucleation rate, J, at time t* = 81.79: (a) case 1 and (b) case 2. The line of equal values is shown in gray.
Figure 8 FIG. 8 Scatter plots of nucleation rate based on the filtered temperature and DBP mass-fraction, JFL, versus exact nucleation rate, J, at time t* = 81.79: (a) case 1 and (b) case 2. The line of equal values is shown in gray.
Figure 9 FIG. 9 Probability density function of the subgrid-scale nucleation rate JSGSL for case 2.
Figure 9 FIG. 9 Probability density function of the subgrid-scale nucleation rate JSGSL for case 2.
Figure 10 FIG. 10 Probability density functions of the magnitude of the SGS nucleation rate, JSGSL, conditioned on the normalized temperature fluctuation, θ′ (case 2): (a) JSGSL < 0 and (b) JSGSL > 0.
Figure 10 FIG. 10 Probability density functions of the magnitude of the SGS nucleation rate, JSGSL, conditioned on the normalized temperature fluctuation, θ′ (case 2): (a) JSGSL < 0 and (b) JSGSL > 0.
Figure 11 FIG. 11 Probability density functions of the magnitude of the SGS nucleation rate, JSGSL, conditioned on the normalized mass-fraction fluctuation, φ′ (case 2): (a) JSGSL < 0 and (b) JSGSL > 0.
Figure 11 FIG. 11 Probability density functions of the magnitude of the SGS nucleation rate, JSGSL, conditioned on the normalized mass-fraction fluctuation, φ′ (case 2): (a) JSGSL < 0 and (b) JSGSL > 0.

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