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Insights on the impact of a plane drop on a thin liquid film
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10.1063/1.3555196
/content/aip/journal/pof2/23/2/10.1063/1.3555196
http://aip.metastore.ingenta.com/content/aip/journal/pof2/23/2/10.1063/1.3555196
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Sketch of problem definition.

Image of FIG. 2.
FIG. 2.

Definition sketch of the key points monitored during the evolution of the sheet. , . , , .

Image of FIG. 3.
FIG. 3.

Contact length of emergence of the ejecta sheet as a function of Reynolds number.

Image of FIG. 4.
FIG. 4.

Time of emergence of the ejecta sheet as a function of Reynolds number. Continuous line reproduces the scaling law . In the inset the same data are reported in log-log scale.

Image of FIG. 5.
FIG. 5.

Contact length of emergence of the ejecta sheet as a function of the relative time instant for different Reynolds numbers. Continuous line reproduces the best fit power law .

Image of FIG. 6.
FIG. 6.

Dimensionless initial velocity of ejecta sheet as a function of Reynolds number. Continuous line reproduces the scaling law .

Image of FIG. 7.
FIG. 7.

Jet evolution. (a) , (b) . For both cases and curves are relative to time instants ranging (from left to right) from to , with time step of . Vertical line indicates the location of first emergence of the sheet.

Image of FIG. 8.
FIG. 8.

Rescaled jet base location (dots) as a function of rescaled time for , , and . Open circles are the simulated positions of the neck before the jet formation. The continuous line reproduces the square root law of Howison et al. (Ref. 7) and dashed line is the square root law of Josserand and Zaleski (Ref. 3) with the rescaled (i.e., using in place of as length scale) prefactor .

Image of FIG. 9.
FIG. 9.

Characteristic curves of Eq. (6) for the functions represented by red lines. Dashed curves are relative to the square root law of Howison et al. (Ref. 7) and continuous curves correspond to the best fitting power law.

Image of FIG. 10.
FIG. 10.

Values of the functions (lower lines) and (upper lines) on the curve . Circles refer to the square root law of Howison et al. (Ref. 7), while dots refer to the best fitting power law.

Image of FIG. 11.
FIG. 11.

Jet thickness as a function of time for different Reynolds numbers. Red symbols refer to jet thickness measured as the distance between the points and of Fig. 2 and black symbols refer to the length of the horizontal projection of the segment . The continuous line reproduces the prediction of Howison et al. (Ref. 7), the dashed line refers to the scaling law of Josserand and Zaleski (Ref. 3) .

Image of FIG. 12.
FIG. 12.

Velocity components at the jet base as a function of time for different Reynolds numbers. Upper symbols refer to and lower symbols to . Continuous line reproduces the prediction of Howison et al. (Ref. 7).

Image of FIG. 13.
FIG. 13.

Time evolution of a typical lamella splashing at and . (a) , (b) , (c) , and (d) .

Image of FIG. 14.
FIG. 14.

Velocity vector field of lamella splashing at , , and .

Image of FIG. 15.
FIG. 15.

Normalized pressure fields of lamella splashing at and . (a) , (b) , (c) , and (d) .

Image of FIG. 16.
FIG. 16.

Velocity fields of lamella splashing at and . (a) , (b) , (c) , and (d) .

Image of FIG. 17.
FIG. 17.

Traveling fronts of pressure (a) and velocity (b) along the wall liquid layer at and . Time instants are from to , with time step of 0.2 (a), and from to , with time step of 1 (b).

Image of FIG. 18.
FIG. 18.

Functions (black symbols) and (red symbols) defined by Cossali et al. (Ref. 12), calculated with respect to four specifications of the position of the discontinuity. The continuous line and the dashed line correspond to the theoretical predictions and , respectively.

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/content/aip/journal/pof2/23/2/10.1063/1.3555196
2011-02-18
2014-04-20
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Insights on the impact of a plane drop on a thin liquid film
http://aip.metastore.ingenta.com/content/aip/journal/pof2/23/2/10.1063/1.3555196
10.1063/1.3555196
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