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Nonaxisymmetric effects of stratified spin-up in an axisymmetric annular channel
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10.1063/1.2002999
/content/aip/journal/pof2/17/8/10.1063/1.2002999
http://aip.metastore.ingenta.com/content/aip/journal/pof2/17/8/10.1063/1.2002999
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Schematics of the experimental facility. Inner (1) and outer (2) cylindrical walls form an axisymmetric annular channel of the width . The motion of a linearly stratified rotating fluid layer of the depth was video recorded from above using a camera (3) fixed relative to the rotating reference frame. and axes (in cm) form a local Cartesian coordinate system in the horizontal plane (when axis is orthogonal to both inner and outer sidewalls, i.e., it points in the radial direction).

Image of FIG. 2.
FIG. 2.

Dye visualization of the stratified spin-up flow in the annulus. Top view. Parameters: , , , and . Dimensionless time . The direction of the axis is from the center of the tank outwards, so that the inner and outer sidewalls of the annulus are located at the bottom and top parts of the image respectively. The direction of the spin-up current is from left to right.

Image of FIG. 3.
FIG. 3.

The same as in Fig. 2. Parameters: , , , and . Dimensionless time (a) 16 and (b) 62.

Image of FIG. 4.
FIG. 4.

Velocity vector field corresponding to stratified spin-up. Top view. Parameters: , , , and . Coordinates and are in cm. Coordinates and correspond to the inner sidewall boundary. Dimensionless time (a) 16 and (b) 64. The streamlines are shown by the thick solid lines with the arrows representing the direction of the spin-up flow.

Image of FIG. 5.
FIG. 5.

The same as in Fig. 2. Parameters: , , , and . Dimensionless time (a) 5, (b) 13, (c) 35, and (d) 50.

Image of FIG. 6.
FIG. 6.

The same as in Fig. 4. Parameters: , , , and . Dimensionless time (a) 5, (b) 21, and (c) 48.

Image of FIG. 7.
FIG. 7.

The same as in Fig. 2. Parameters: , , , and . Dimensionless time (a) 7, (b) 10, and (c) 45.

Image of FIG. 8.
FIG. 8.

The same as in Fig. 4. Parameters: , , , and . Dimensionless time (a) 5, (b) 12, and (c) 64.

Image of FIG. 9.
FIG. 9.

The same as in Fig. 2. Parameters: , , , and . Dimensionless time (a) 24, (b) 64, and (c) 77.

Image of FIG. 10.
FIG. 10.

The same as in Fig. 2. Parameters: , , , and . Dimensionless time (a) 3 and (b) 11.

Image of FIG. 11.
FIG. 11.

Flow regime diagram. The squares correspond to the experiments in the annulus reported in Ref. 1, the triangles represent the current data. The open symbols—unstable regime, and solid symbols—stable regime.

Image of FIG. 12.
FIG. 12.

Vertical salinity profiles 1.5 cm from the outer sidewall for the same experiment as shown in Fig. 10. Dimensionless time is shown in the legend.

Image of FIG. 13.
FIG. 13.

Vertical salinity profiles 2.5 cm from the rough inner sidewall. Parameters: , , and . Dimensionless time is shown in the legend.

Image of FIG. 14.
FIG. 14.

Vertical profiles of the salinity anomaly at 1.5 (solid symbols) and 8 cm (open symbols) from the outer sidewall. Parameters: (solid symbols) , , and ; (open symbols) , , and . Dimensionless time is shown in the legend.

Image of FIG. 15.
FIG. 15.

Vertical profiles of the salinity anomaly at 1.5 cm from the outer sidewall. Parameters: (solid symbols) , , and ; (open symbols) , , and . Dimensionless time is shown in the legend.

Image of FIG. 16.
FIG. 16.

The same as in Fig. 15. Parameters: (solid symbols) , , and ; (open symbols) , , and . Dimensionless time is shown in the legend.

Image of FIG. 17.
FIG. 17.

Dependence of the corner region height (measured at 1.5 cm from the outer sidewall) on the Rossby and Burger numbers. The corresponding boundary conditions are shown in the legend. Characteristic error bars are shown.

Image of FIG. 18.
FIG. 18.

Relation between dimensionless eddy formation time and density relaxation time . The vertical level of observations is confined within the range of 3.5–5 cm from the bottom of the tank. The boundary conditions are shown in the legend. Characteristic error bars are shown.

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/content/aip/journal/pof2/17/8/10.1063/1.2002999
2005-08-02
2014-04-19
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Nonaxisymmetric effects of stratified spin-up in an axisymmetric annular channel
http://aip.metastore.ingenta.com/content/aip/journal/pof2/17/8/10.1063/1.2002999
10.1063/1.2002999
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