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Identification of vortexes obstructing the dynamo mechanism in laboratory experiments
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10.1063/1.4811405
/content/aip/journal/pof2/25/6/10.1063/1.4811405
http://aip.metastore.ingenta.com/content/aip/journal/pof2/25/6/10.1063/1.4811405

Figures

Image of FIG. 1.
FIG. 1.

An example of the mean flow of the MDE (cross section, -plane) computed using FLUENT. The hollow black boxes represent the impellers. The internal probe array is indicated by the black and purple crosses. Reprinted with permission from E. J. Kaplan, M. M. Clark, M. D. Nornberg, K. Rahbarnia, A. M. Rasmus, N. Z. Taylor, C. B. Forest, and E. J. Spence, Phys. Rev. Lett. , 254502 (2011). Copyright 2011, American Physical Society.

Image of FIG. 2.
FIG. 2.

First SVD eigenfunction, = 600: The color represents the magnitude of the -component of the field.

Image of FIG. 3.
FIG. 3.

First SVD eigenfunction, = 600: The color represents the magnitude of the θ-component of the field.

Image of FIG. 4.
FIG. 4.

First SVD eigenfunction, = 600: The color represents the magnitude of the ϕ-component of the field.

Image of FIG. 5.
FIG. 5.

Radial profile of the poloidal modes of the first SVD eigenfunction, = 600.

Image of FIG. 6.
FIG. 6.

Radial profile of the toroidal modes of the first SVD eigenfunction, = 600.

Image of FIG. 7.
FIG. 7.

Radial profile of the poloidal modes of the second SVD eigenfunction, = 600.

Image of FIG. 8.
FIG. 8.

Radial profile of the toroidal modes of the second SVD eigenfunction, = 600.

Image of FIG. 9.
FIG. 9.

Field lines of the second SVD eigenfunction, = 600. The helical structure described above can be recognized. The color represents the magnitude of the field.

Image of FIG. 10.
FIG. 10.

Real and imaginary parts of the SVD temporal eigenfunction σ (), = 600. Reprinted with permission from A. Limone, D. R. Hatch, C. B. Forest, and F. Jenko, Phys. Rev. E 86, 066315 (2012). Copyright 2012, American Physical Society.

Image of FIG. 11.
FIG. 11.

Real and imaginary parts of the SVD temporal eigenfunction σ (), = 600. Reprinted with permission from A. Limone, D. R. Hatch, C. B. Forest, and F. Jenko, Phys. Rev. E 86, 066315 (2012). Copyright 2012, American Physical Society.

Image of FIG. 12.
FIG. 12.

(Left) Growth rates γ of the magnetic energy for the runs “1,” “1 + 2,” and “1 − 2,” = 600. A time-stationary () on the kinematic dynamo threshold. γ is scaled to the magnetic diffusion time, τ = μσ . Reprinted with permission from A. Limone, D. R. Hatch, C. B. Forest, and F. Jenko, Phys. Rev. E 86, 066315 (2012). Copyright 2012, American Physical Society.

Tables

Generic image for table
Table I.

Information content of the first 6 modes calculated via .

Generic image for table
Table II.

Growth rates of the magnetic energy for the runs “1” and “1 + 2,” = 1100.

Generic image for table
Table III.

MHD simulations of dynamos with an implemented equatorial disc in the center of the equatorial plane. γ is the growth rate (the time is scaled to the resistive diffusion time, τ = μσ ) of the magnetic energy in the presence of the disk; γ in the presence of the ring; γ is the default growth rate, i.e., without any baffle. As stated in the text, the initial choice of ρ has been motivated by considering the curves shown in Figs. 7 and 8 .

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2013-06-24
2014-04-24
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Identification of vortexes obstructing the dynamo mechanism in laboratory experiments
http://aip.metastore.ingenta.com/content/aip/journal/pof2/25/6/10.1063/1.4811405
10.1063/1.4811405
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