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Classification and sound generation of two-dimensional interaction of two Taylor vortices
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10.1063/1.4807065
/content/aip/journal/pof2/25/5/10.1063/1.4807065
http://aip.metastore.ingenta.com/content/aip/journal/pof2/25/5/10.1063/1.4807065
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Schematic diagram of the flow model for the interaction of two Taylor vortices.

Image of FIG. 2.
FIG. 2.

The evolution of the vorticity field in the interaction of two counter-rotating vortices in the case of = −0.5, = 0.5, = 4 and = = 1.

Image of FIG. 3.
FIG. 3.

The evolution of the vorticity field in the interaction of two counter-rotating vortices in the case of = −0.5, = 0.45, = 4, and = = 1.

Image of FIG. 4.
FIG. 4.

The evolution of the vorticity field in the interaction of two co-rotating vortices in the case of = = 0.5, = 4 and = = 1.

Image of FIG. 5.
FIG. 5.

The evolution of the vorticity field in the merging process of two co-rotating Taylor vortices in the case of = = 0.5, = 2, and = = 1.

Image of FIG. 6.
FIG. 6.

The evolution of the vorticity field in the interaction of two counter-rotating vortices with a large difference in their strengths in the case of = −0.8, = 0.25, = 4, and = = 1.

Image of FIG. 7.
FIG. 7.

The evolution of the vorticity field in the interaction of two co-rotating vortices with a large difference in their strengths in the case of = 0.8, = 0.25 and = 4, and = = 1.

Image of FIG. 8.
FIG. 8.

The evolution of the vorticity field in the interaction of two counter-rotating vortices with a large difference in their spatial scales in the case of = −0.5, = 0.5, = 2.2, = 1, and = 0.2.

Image of FIG. 9.
FIG. 9.

The instantaneous contours (left) and radial (middle) distributions (right) of the sound pressure at the typical time = 200 in the two-dimensional interaction of two Taylor vortices. Solid lines in the contours represent Δ > 0 while dashed lines represent Δ < 0.

Image of FIG. 10.
FIG. 10.

The time history of the sound pressure at the monitored point (100,0) in the two dimensional interaction of two Taylor vortices. (a) The interaction of two counter-rotating vortices in the case of = −0.5, = 0.5, = 4, and = = 1. (b) The interaction of two co-rotating vortices in the case of = = 0.5, = 4, and = = 1. (c) The merging of two co-rotating Taylor vortices in the case of = = 0.5, = 2, and = = 1. (d) The interaction of two counter-rotating vortices with a large difference in their strengths in the case of = −0.8, = 0.25, = 4, and = = 1. (e) The interaction of two co-rotating vortices with a large difference in their strengths at the typical time = 200 in the case of = 0.8, = 0.25, = 4, and = = 1. (f) the interaction of two counter-rotating vortices in the case of = −0.5, = 0.5, = 2.2, = 1, and = 0.2.

Image of FIG. 11.
FIG. 11.

The time history of the sound pressure at the two monitored points (solid for (100,0) and dashed for (0,100)) in the interaction of two counter-rotating vortices in the case of = −0.5, = 0.5, = 4, and = = 1.

Image of FIG. 12.
FIG. 12.

The evolution of the Lamb vector in the interaction of two counter-rotating vortices in the case of = −0.5, = 0.5, = 4, and = = 1.

Image of FIG. 13.
FIG. 13.

The time history of the sound pressure at the two monitored points (solid for (100,0) and dashed for (0,100)) in the interaction of two co-rotating vortices in the case of = 0.8, = 0.25, = 2.2, = 1, and = 0.2.

Image of FIG. 14.
FIG. 14.
Image of FIG. 15.
FIG. 15.

The evolution of the Lamb vector in the merging process of two co-rotating vortices in the case of = = 0.5, = 2, and = = 1.

Image of FIG. 16.
FIG. 16.

The evolution of the vorticity field in the interaction of two co-rotating Gaussian vortices.

Image of FIG. 17.
FIG. 17.

The time history of dilation at the point (, ) = (0., 1.2) and its comparison with that of Eldredge

Image of FIG. 18.
FIG. 18.

The time history of separation distance of two co-rotating Gaussian vortices.

Image of FIG. 19.
FIG. 19.

The time evolution of second-order moments of vorticity and defined by Eq. (4) .

Image of FIG. 20.
FIG. 20.

Far-field pressure traces at (left) and (right) and the comparison between our direct numerical simulation (DNS) and that by the Möhring's equation (5) .

Image of FIG. 21.
FIG. 21.

The comparison for the distribution of tangential velocity along radius between Taylor vortex and Gaussian vortex.

Image of FIG. 22.
FIG. 22.

The comparison for the distribution of vorticity along the radius between Taylor vortex and Gaussian vortex.

Image of FIG. 23.
FIG. 23.

The time evolution of vorticity in two-dimensional decaying turbulence.

Image of FIG. 24.
FIG. 24.

The time evolution of vorticity for vortex dipole in two-dimensional decaying turbulence.

Image of FIG. 25.
FIG. 25.

The time evolution of vorticity for vortex merging in two-dimensional decaying turbulence.

Image of FIG. 26.
FIG. 26.

The time evolution of vorticity for the interaction of two vortices with large difference in their strengths in two-dimensional decaying turbulence.

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/content/aip/journal/pof2/25/5/10.1063/1.4807065
2013-05-31
2014-04-25
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Classification and sound generation of two-dimensional interaction of two Taylor vortices
http://aip.metastore.ingenta.com/content/aip/journal/pof2/25/5/10.1063/1.4807065
10.1063/1.4807065
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