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Title: Effects of axial boundary conductivity on a free Stewartson-Shercliff layer

Abstract

The effects of axial boundary conductivity on the formation and stability of a magnetized free Stewartson-Shercliff layer (SSL) in a short Taylor-Couette device are reported. As the axial field increases with insulating endcaps, hydrodynamic Kelvin-Helmholtz-type instabilities set in at the SSLs of the conducting fluid, resulting in a much reduced flow shear. With conducting endcaps, SSLs respond to an axial field weaker by the square root of the conductivity ratio of endcaps to fluid. Flow shear continuously builds up as the axial field increases despite the local violation of the Rayleigh criterion, leading to a large number of hydrodynamically unstable modes. In conclusion, numerical simulations of both the mean flow and the instabilities are in agreement with the experimental results.

Authors:
 [1];  [1];  [1];  [1];  [1];  [1]
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  1. Princeton Univ., Princeton, NJ (United States)
Publication Date:
Research Org.:
Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1459553
Alternate Identifier(s):
OSTI ID: 1455107
Grant/Contract Number:  
AST-1312463; NNH15AB25I; AC02-09CH11466
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review E
Additional Journal Information:
Journal Volume: 97; Journal Issue: 6; Journal ID: ISSN 2470-0045
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 42 ENGINEERING

Citation Formats

Caspary, Kyle J., Choi, Dahan, Ebrahimi, Fatima, Gilson, Erik P., Goodman, Jeremy, and Ji, Hantao. Effects of axial boundary conductivity on a free Stewartson-Shercliff layer. United States: N. p., 2018. Web. doi:10.1103/PhysRevE.97.063110.
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Caspary, Kyle J., Choi, Dahan, Ebrahimi, Fatima, Gilson, Erik P., Goodman, Jeremy, & Ji, Hantao. Effects of axial boundary conductivity on a free Stewartson-Shercliff layer. United States. doi:10.1103/PhysRevE.97.063110.
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Caspary, Kyle J., Choi, Dahan, Ebrahimi, Fatima, Gilson, Erik P., Goodman, Jeremy, and Ji, Hantao. Wed . "Effects of axial boundary conductivity on a free Stewartson-Shercliff layer". United States. doi:10.1103/PhysRevE.97.063110. https://www.osti.gov/servlets/purl/1459553.
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@article{osti_1459553,
title = {Effects of axial boundary conductivity on a free Stewartson-Shercliff layer},
author = {Caspary, Kyle J. and Choi, Dahan and Ebrahimi, Fatima and Gilson, Erik P. and Goodman, Jeremy and Ji, Hantao},
abstractNote = {The effects of axial boundary conductivity on the formation and stability of a magnetized free Stewartson-Shercliff layer (SSL) in a short Taylor-Couette device are reported. As the axial field increases with insulating endcaps, hydrodynamic Kelvin-Helmholtz-type instabilities set in at the SSLs of the conducting fluid, resulting in a much reduced flow shear. With conducting endcaps, SSLs respond to an axial field weaker by the square root of the conductivity ratio of endcaps to fluid. Flow shear continuously builds up as the axial field increases despite the local violation of the Rayleigh criterion, leading to a large number of hydrodynamically unstable modes. In conclusion, numerical simulations of both the mean flow and the instabilities are in agreement with the experimental results.},
doi = {10.1103/PhysRevE.97.063110},
journal = {Physical Review E},
number = 6,
volume = 97,
place = {United States},
year = {2018},
month = {6}
}
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Journal Article:
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DOI:  10.1103/PhysRevE.97.063110
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Figures / Tables:

FIG. 1 FIG. 1: Schematic of the redesigned Princeton MRI experiment with three independently rotating components; The inner cylinder with rim (Ω1), outer cylinder with ring (Ω2), and inner ring (Ω3).
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    Works referencing / citing this record:

    Experimental confirmation of the standard magnetorotational instability mechanism with a spring-mass analogue
    journal, January 2019

    • Hung, Derek M. H.; Blackman, Eric G.; Caspary, Kyle J.
    • Communications Physics, Vol. 2, Issue 1
    • DOI: 10.1038/s42005-018-0103-7
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