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A Lagrangian approach to identifying vortex pinch-off
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10.1063/1.3275499
/content/aip/journal/chaos/20/1/10.1063/1.3275499
http://aip.metastore.ingenta.com/content/aip/journal/chaos/20/1/10.1063/1.3275499
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Contours of vorticity at formation times: (a) 1.5, (b) 4.1, and (c) 8.5. Contour levels: of , of , . Dashed lines indicate negative vorticity. The cylinder exit plane is located in the plane, and the -axis coincides with the vortex generator centerline. Flow is from left to right.

Image of FIG. 2.
FIG. 2.

Contours of the FTLE field at formation time of 2.8. In (b) the strain rate normal to the LCS has been superimposed. Positive strain rate is shown in white, negative in black.

Image of FIG. 3.
FIG. 3.

Contours of the FTLE field at formation time of 4.5. A detail of the boxed region in (a) is shown in (b). A new LCS has formed and is indicated in (b) by an arrow.

Image of FIG. 4.
FIG. 4.

Contours of the FTLE field at formation time of 5.9. A detail of the boxed region in (a) is shown in (b). LCSs 1–3 are indicated by arrows in (b). A new LCS (LCS 3) has just formed, and the termination of LCS 1 after the appearance of LCS 2 is also evident at this time.

Image of FIG. 5.
FIG. 5.

Nondimensional total circulation and vortex ring circulation as a function of formation time.

Image of FIG. 6.
FIG. 6.

Contours of the FTLE field. (a) Formation . The boxed regions show the initial stages of the merger of LCSs 1 and 2. (b) Formation . The first and second LCSs have merged at the regions indicated by the boxes.

Image of FIG. 7.
FIG. 7.

Contours of the FTLE field. (a) Formation . The boxed regions show the third LCS beginning to curl into a spiral. (b) Formation . The third and fourth LCSs are merging at the regions indicated by the boxes. In both (a) and (b), the termination of LCS 2 (now merged with LCS 1) several time steps after the appearance of LCS 3 is evident.

Image of FIG. 8.
FIG. 8.

Instantaneous streamlines at formation times: (a) 2.2, (b) 4.1, and (c) 8.7.

Image of FIG. 9.
FIG. 9.

Pathlines for 20 particles released at formation at formation times of (a) 1.5, (b) 4.1, and (c) 10.0. The velocity vector field is shown in the background for reference. The boxed arrows represent a speed of 4 nozzle diameters per second .

Image of FIG. 10.
FIG. 10.

Streaklines originating ten different points on the nozzle exit plane at formation times of (a) 2.2, (b) 4.1, and (c) 5.9. The velocity vector field is shown in the background for reference. The boxed arrows represent a speed of 4 nozzle diameters per second .

Image of FIG. 11.
FIG. 11.

Timelines at formation times: (a) 2.2, (b) 4.1, and (c) 6.6. The velocity vector field is shown in the background for reference. The boxed arrows represent a speed of 4 nozzle diameters per second .

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/content/aip/journal/chaos/20/1/10.1063/1.3275499
2010-01-05
2014-04-24
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: A Lagrangian approach to identifying vortex pinch-off
http://aip.metastore.ingenta.com/content/aip/journal/chaos/20/1/10.1063/1.3275499
10.1063/1.3275499
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