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Evolution of neutral and charged droplets in an electric field
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10.1063/1.2980030
/content/aip/journal/pof2/20/9/10.1063/1.2980030
http://aip.metastore.ingenta.com/content/aip/journal/pof2/20/9/10.1063/1.2980030
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Stable spheroids in an external electric field. The axis of symmetry is vertical and , 0.05, 0.1, 0.15, 0.2, 0.25, 0.3, 0.35, and 0.4.

Image of FIG. 2.
FIG. 2.

Comparison between aspect ratio of spheroids computed numerically and Taylor’s theoretical estimation (30) . The numerical results correspond to , 0.05, 0.1, 0.15, 0.2, 0.25, 0.3, 0.35, and 0.4.

Image of FIG. 3.
FIG. 3.

Stability curve in parameter space. Below the curve drops reach stable configurations and above the curve conelike singularities develop in finite time.

Image of FIG. 4.
FIG. 4.

Some of the singular profiles that develop. They correspond (from smaller to higher elongation) to , (0.3,0.6), (0.7,0.5), (0.9,0.5), and (0.1,0.9). Notice that the cone’s angle is in all cases the same.

Image of FIG. 5.
FIG. 5.

Aspect ratio vs for values of from 0 to 0.9 at intervals of 0.1.

Image of FIG. 6.
FIG. 6.

Superposed singular profiles of uncharged drops in external electric field. They correspond to , 0.6, 0.7, 0.8, 0.9, and 1.

Image of FIG. 7.
FIG. 7.

Tip of a charged drop in a strong electric field . Singularities are avoided by the formation of a jet from the tip.

Image of FIG. 8.
FIG. 8.

Cone semiangle vs exponent of in the solutions for velocity and potential in the cone.

Image of FIG. 9.
FIG. 9.

Evolution of the logarithm of curvature and charge density at the tip as a function of together with the theoretical profiles (in dashed lines). The theoretical slopes are and , respectively, while the slopes of the best linear fit to the numerical values are and , respectively.

Image of FIG. 10.
FIG. 10.

The profiles for the surface charge density before and after rescaling. The time interval between profiles decreases as we approach the singularity.

Image of FIG. 11.
FIG. 11.

The drop’s profiles near the tip before and after rescaling. The time interval between profiles decreases as we approach the singularity.

Image of FIG. 12.
FIG. 12.

A logarithmic profile of the rescaled charge density profiles together with the theoretical prediction on their asymptotic behavior.

Image of FIG. 13.
FIG. 13.

Comparison with the experiments in Ref. 18 of a drop at different times during its evolution. [Reprinted with permission from Fig. 5 of J. Phys. Chem. B 109, 8247 (2005). Copyright 2005 American Chemical Society.] Experimental data and numerics for (top) and (bottom).

Image of FIG. 14.
FIG. 14.

Comparison with the experiments in Ref. 18 of a drop at different times during its evolution. [Reprinted with permission from Fig. 7 of J. Phys. Chem. B 109, 8248 (2005). Copyright 2005 American Chemical Society.] Experimental data and numerics for , (top) and , (bottom).

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/content/aip/journal/pof2/20/9/10.1063/1.2980030
2008-09-30
2014-04-25
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Evolution of neutral and charged droplets in an electric field
http://aip.metastore.ingenta.com/content/aip/journal/pof2/20/9/10.1063/1.2980030
10.1063/1.2980030
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