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Temporal evolution of bubble tip velocity in classical Rayleigh-Taylor instability at arbitrary Atwood numbers
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10.1063/1.4801505
/content/aip/journal/pop/20/6/10.1063/1.4801505
http://aip.metastore.ingenta.com/content/aip/journal/pop/20/6/10.1063/1.4801505
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Temporal evolutions of the normalized bubble tip velocity at different initial perturbation velocities , where (line with squares), 2.9 (line with circles), 14.8 (linewith triangles), and 61.7 (line with stars) with (a), (c) and 0.3 (b), (d) for the 2D geometry. The initial perturbation amplitude of the bubble tip is (a), (b) and (c), (d).

Image of FIG. 2.
FIG. 2.

Normalized bubble tip velocity versus the normalized time , at different initial velocities , where = 0.04 (line with squares), 2.9 (line with circles), 14.8 (line with triangles), and 61.7 (line with stars) with = 0.9 (a), (c) and 0.3 (b), (d) for the 2D geometry. The initial perturbation amplitude of the bubble tip is (a), (b) and (c), (d).

Image of FIG. 3.
FIG. 3.

Critical coefficients for the 2D (left) and 3D (right) geometries versus the and the .

Image of FIG. 4.
FIG. 4.

Critical coefficients for the2D (left) and 3D (right) geometries versus the and the .

Image of FIG. 5.
FIG. 5.

Critical coefficients for the 2D (left) and 3D (right) geometries versus the and the (0).

Image of FIG. 6.
FIG. 6.

Critical coefficients (line with squares), (line with circles), and (line with stars) for the 2D (left) and 3D (right) geometries versus with the fixed = 0.8.

Image of FIG. 7.
FIG. 7.

Equivalent driving force (the dashed lines), the equivalent resistance force (the dotted lines), and the resultant force (the solid lines) versus the normalized time , with for = 0.10, 0.40, 0.75, and 1.0 in the 2D geometry. The initial perturbation velocity is .

Image of FIG. 8.
FIG. 8.

Equivalent driving force (the dashed lines), the equivalent resistance force (the dotted lines), and the resultant force (the solid lines) versus the normalized time with = 0.9 and (a), = 0.3 and (b), = 0.9 and (c), and =0.3 and (d). The initial perturbation velocity is in the 2D geometry.

Image of FIG. 9.
FIG. 9.

Basic flows for the Atwood numbers = 0.3 (a) and 0.8 (b) cases.

Image of FIG. 10.
FIG. 10.

Comparisons of the normalized bubble tip velocity, , from the potential model (solid and dashed lines) and from the simulations (triangles and stars) versus the normalized time . For = 0.8 (a), the case of and is traced with the solid line and triangles; the case of and is drawn with dashed line and stars; for = 0.9 (b), the case of and is traced with the solid line and stars.

Image of FIG. 11.
FIG. 11.

Comparisons of the normalized bubble tip amplitude from the potential model and that from the numerical simulations for the 2D geometry. With , and , the results from the potential model (solid line) and from the simulation (triangles) are shown; with , and , the results from the potential model (dashed line) and from the simulation (stars) are illustrated. The uniform parameters are selected as and = 0.3.

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/content/aip/journal/pop/20/6/10.1063/1.4801505
2013-06-11
2014-04-21
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Temporal evolution of bubble tip velocity in classical Rayleigh-Taylor instability at arbitrary Atwood numbers
http://aip.metastore.ingenta.com/content/aip/journal/pop/20/6/10.1063/1.4801505
10.1063/1.4801505
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