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Unsteady draining flows from a rectangular tank
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10.1063/1.2759891
/content/aip/journal/pof2/19/8/10.1063/1.2759891
http://aip.metastore.ingenta.com/content/aip/journal/pof2/19/8/10.1063/1.2759891
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Definition sketch of the two-fluid system in the tank, in dimensionless coordinates. The drain and the tank have half-widths and , respectively, and the total tank height is . The interface has been computed at time for a tank with , , . The density ratio is and the Froude number is . (The surface-tension parameter is .)

Image of FIG. 2.
FIG. 2.

Interface height at the center of the tank, as a function of time. The drain and tank half-widths are and . The Froude number, density ratio and initial upper-fluid depth are , , and , respectively. The average surface height (dashed line), linearized solution (thin line), and nonlinear interface location (heavier line, labelled) are shown.

Image of FIG. 3.
FIG. 3.

Interface height at the center of the tank, as a function of time. The drain and tank half-widths are and . The Froude number, density ratio and initial upper-fluid depth are , , and , respectively. Surface-tension parameter has been used. The average surface height (dashed line), linearized solution (thin line), and nonlinear interface location (heavier line, labelled) are shown.

Image of FIG. 4.
FIG. 4.

A plot of interface shapes at six different times, for the same case as shown in Fig. 3.

Image of FIG. 5.
FIG. 5.

Interface height at the center of the tank, as a function of time. The drain and tank half-widths are and . The Froude number, density ratio and initial upper-fluid depth are , , and , respectively. Surface-tension parameter has been used. The average surface height (dashed line), linearized solution (thin line) and nonlinear interface location (heavier line, labelled) are shown.

Image of FIG. 6.
FIG. 6.

A plot of interface shapes at six different times, for the same case as shown in Fig. 5.

Image of FIG. 7.
FIG. 7.

(a) A plot of curvature at the interface for the same case as shown in Figs. 5 and 6, and for two different times; (b) plot of maximum curvature along the interface as a function of time, for the same case. The nonlinear results of the computation are shown with a solid line and the dashed line is the result of a power-law fit to these data for .

Image of FIG. 8.
FIG. 8.

Interface height at the center of the tank, as a function of time. The drain and tank half-widths are and . The Froude number, density ratio, and initial upper-fluid depth are , , and , respectively. Surface-tension parameter has been used. The average surface height (dashed line), linearized solution (thin line) and nonlinear interface location (heavier line, labelled) are shown.

Image of FIG. 9.
FIG. 9.

A plot of interface shapes at four different times, for the same case as shown in Fig. 8.

Image of FIG. 10.
FIG. 10.

Interface height at the center of the tank, as a function of time. The drain and tank half-widths are and . The Froude number, density ratio, and initial upper-fluid depth are , , and , respectively. Surface-tension parameter has been used. The average surface height (dashed line), linearized solution (thin line) and nonlinear interface location (heavier line, labelled) are shown.

Image of FIG. 11.
FIG. 11.

A plot of interface shapes at six different times, for the same case as shown in Fig. 10.

Image of FIG. 12.
FIG. 12.

Interface height at the center of the tank, as a function of time. The drain and tank half-widths are and . The Froude number, density ratio, and initial upper-fluid depth are , , and , respectively. Surface-tension parameter has been used. The average surface height (dashed line), linearized solution (thin line), and nonlinear interface location (heavier line, labelled) are shown.

Image of FIG. 13.
FIG. 13.

A plot of interface shapes at four different times, for the same case as shown in Fig. 12.

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/content/aip/journal/pof2/19/8/10.1063/1.2759891
2007-08-17
2014-04-16
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Unsteady draining flows from a rectangular tank
http://aip.metastore.ingenta.com/content/aip/journal/pof2/19/8/10.1063/1.2759891
10.1063/1.2759891
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