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Damping of linear oscillations in axisymmetric liquid bridges
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10.1063/1.3216566
/content/aip/journal/pof2/21/9/10.1063/1.3216566
http://aip.metastore.ingenta.com/content/aip/journal/pof2/21/9/10.1063/1.3216566
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Liquid bridge configuration.

Image of FIG. 2.
FIG. 2.

Experimental apparatus: upper needle (A), bottom disk (B), liquid bridge cell (C), vibrating platform (D), electrodynamic shaker (E), camera (F), optical lenses (G), micrometer screws (H, I, and J), optical fiber (K), frosted diffuser (L), and optical table (M).

Image of FIG. 3.
FIG. 3.

Surface tension values measured from the images acquired before (open symbols) and after (filled symbols) the damping process of lateral oscillations of hexadecane (circles) and 35-cSt silicone oil (triangles). The symbols are the values averaged over the sets of ten images, and the error bars are the corresponding standard deviations. The dotted line indicates the literature value for hexadecane.

Image of FIG. 4.
FIG. 4.

(a) Two images of a hexadecane liquid bridge oscillating laterally. (b) Temporal evolution of the free surface position (symbols) at the height indicated in the images, and fit (1) (solid line) for the damping period. The parameters characterizing the experiment were , , , , and .

Image of FIG. 5.
FIG. 5.

Oscillation frequency and damping rate measured for consecutive periods of time of 83.3 ms as a function of the maximum free surface deformation measured in the corresponding period of time. The symbols are the averages over the intervals of the axis considered, and the error bars are the corresponding standard deviations. The open and filled symbols correspond to the axial and lateral oscillations of hexadecane, respectively. The parameters characterizing the experiments with axial and lateral oscillations were { , , , , and } and { , , , , and }, respectively.

Image of FIG. 6.
FIG. 6.

Dependence of the oscillation parameters on for an experiment with axial oscillations of hexadecane. The symbols are the experimental data. The solid line in (a) is the solution to the Young–Laplace equation. The solid lines in (b)–(e) correspond to the Cosserat model. The dashed lines in (b) and (d) are the NS results. The dotted line in (b) is a function proportional to . The parameters characterizing the experiment were , , , , and .

Image of FIG. 7.
FIG. 7.

Oscillation frequency and damping rate for an experiment with axial oscillations of 35-cSt silicone oil. The parameters characterizing the experiment were , , , , and .

Image of FIG. 8.
FIG. 8.

Dependence of the oscillation parameters on for an experiment with lateral oscillations of hexadecane. The symbols are the experimental data. The solid line in (a) is the solution to the Young–Laplace equation. The solid lines in (b)–(e) correspond to the 1D slice model proposed in Ref. 16 . The dashed lines in (b) and (d) are the NS results. The dotted line in (b) is a function proportional to . The parameters characterizing the experiment were , , , , and .

Image of FIG. 9.
FIG. 9.

Dependence of the oscillation parameters on for an experiment with lateral oscillations of 35-cSt silicone oil. The symbols are the experimental data. The solid line in (a) is the solution to the Young–Laplace equation. The solid lines in (b)–(e) correspond to the 1D results. The parameters characterizing the experiment were , , , , and .

Image of FIG. 10.
FIG. 10.

Dependence of the oscillation frequency and damping rate on the liquid bridge volume for the axial oscillations of hexadecane. The left and right axes show the values of and and their normalized values and , respectively, where and are the oscillation frequency and damping rate obtained for the largest volume. The symbols are the experimental data calculated as the average over the liquid bridge free surface, while the error bars are the corresponding standard deviations. The solid and dashed lines correspond to the 1D and NS results, respectively. The parameters characterizing the experiment were , , , and .

Image of FIG. 11.
FIG. 11.

The same as in Fig. 10 but for lateral oscillations. The parameters characterizing the experiment were , , , and .

Image of FIG. 12.
FIG. 12.

The same as in Fig. 10 but for lateral oscillations of 35-cSt silicone oil. The parameters characterizing the experiment were , , , and .

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/content/aip/journal/pof2/21/9/10.1063/1.3216566
2009-09-03
2014-04-19
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Damping of linear oscillations in axisymmetric liquid bridges
http://aip.metastore.ingenta.com/content/aip/journal/pof2/21/9/10.1063/1.3216566
10.1063/1.3216566
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