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Free magnetohydrodynamic shear layers in the presence of rotation and magnetic fielda)
a)Paper DI3 4, Bull. Am. Phys. Soc. 56, 91 (2011).
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10.1063/1.3702006
/content/aip/journal/pop/19/5/10.1063/1.3702006
http://aip.metastore.ingenta.com/content/aip/journal/pop/19/5/10.1063/1.3702006

Figures

Image of FIG. 1.
FIG. 1.

Schematic of the Princeton MRI experiment. Note the differentially rotatable top and bottom endcap rings, which can generate a discontinuity in the azimuthal-flow boundary condition.

Image of FIG. 2.
FIG. 2.

Azimuthal velocity at r = 18.2 cm versus time, measured at the midplane at (solid) and at z = 3 cm at (dotted), for (270, 100) rpm, no applied field.

Image of FIG. 3.
FIG. 3.

Spatial structure of the measured azimuthal flow over one period of oscillation, at the midplane, with the axisymmetric background removed, for (270, 100) rpm, no applied field.

Image of FIG. 4.
FIG. 4.

Azimuthal velocity at r = 18.2 cm versus time, measured at the midplane, for (335, 100) rpm, no applied field.

Image of FIG. 5.
FIG. 5.

Value of which suppresses the global free-shear-layer instability versus . The linear trend corresponds to Ro = 2.35.

Image of FIG. 6.
FIG. 6.

Snapshot of a numerical simulation of the experiment, for (350, 100) rpm, no applied field. Left: Shear, , versus radius and height. Note the shear layer extending vertically from the ring junction. Right: Contours of the poloidal stream function versus radius and height. Contours range from −22 to 22 cm2/s, in steps of 2. The vertical lines in both figures indicate the location of the inner ring-outer ring junction.

Image of FIG. 7.
FIG. 7.

Numerical simulation of (400, 100) rpm, no applied field. The plotting convention is the same as in Figure 6.

Image of FIG. 8.
FIG. 8.

Azimuthal velocity at r = 18.2 cm versus time, measured at the midplane, for (670, 200) rpm, 3440 G. The magnetic field turns on at t = 10 s.

Image of FIG. 9.
FIG. 9.

Numerical simulation of (400, 100) rpm, 800 G (). The plotting convention is the same as in Figure 6.

Image of FIG. 10.
FIG. 10.

Numerical simulation of (400, 100) rpm, 1600 G (). The plotting convention is the same as in Figure 6.

Image of FIG. 11.
FIG. 11.

Numerical simulation of (400, 100) rpm, 3580 G (). The plotting convention is the same as in Figure 6.

Image of FIG. 12.
FIG. 12.

Numerical simulation of (400, 100) rpm, 11310 G (). The plotting convention is the same as in Figure 6.

Image of FIG. 13.
FIG. 13.

Experimental shear-layer global-instability space. Dots indicate instability, “x”s indicate stability. The area of the dots is proportional to the power in the oscillations, normalized by . All runs were performed with Ro = 2.35. The instability space is separated by the line, where the Elsasser number is defined here as .

Tables

Generic image for table
Table I.

Experimental parameters of the Princeton MRI experiment.

Generic image for table
Table II.

Parameters of the simulations used in this work.

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/content/aip/journal/pop/19/5/10.1063/1.3702006
2012-04-12
2014-04-18
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Free magnetohydrodynamic shear layers in the presence of rotation and magnetic fielda)
http://aip.metastore.ingenta.com/content/aip/journal/pop/19/5/10.1063/1.3702006
10.1063/1.3702006
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