Skip to main content
OSTI.GOVU.S. Department of Energy Office of Scientific and Technical Information
U.S. Department of Energy
Office of Scientific and Technical Information
 

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

Journal Article · · Physical Review E
 [1];  [1];  [1];  [1];  [1];  [1]
  1. Princeton Univ., Princeton, NJ (United States)
+ Show Author Affiliations
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.
Research Organization:
Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
AC02-09CH11466
OSTI ID:
1459553
Alternate ID(s):
OSTI ID: 1455107
Journal Information:
Physical Review E, Journal Name: Physical Review E Journal Issue: 6 Vol. 97; ISSN PLEEE8; ISSN 2470-0045
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (19)

The effect of the electric conductivity of the earth's mantle on the Ekman — Hartman hydromagnetic boundary layer and on the magnetic diffusion region: Part I. the limiting treatment of the problem in connection with the conditions in the earth's core journal September 1974
Ultrasonic Doppler velocimetry in liquid gallium journal December 2001
Nonlinear magnetohydrodynamics in axisymmetric heterogeneous domains using a Fourier/finite element technique and an interior penalty method journal May 2009
On almost rigid rotations journal October 1957
Steady motion of conducting fluids in pipes under transverse magnetic fields journal January 1953
Line-tying effects on the Kelvin-Helmholttz instability journal August 1992
Hydrodynamic turbulence cannot transport angular momentum effectively in astrophysical disks journal November 2006
Influence of an Axial Magnetic Field on the Steady Linear Ekman Boundary Layer journal January 1968
Free magnetohydrodynamic shear layers in the presence of rotation and magnetic field journal May 2012
The role of boundaries in the magnetorotational instability journal July 2012
Angular momentum transport in astrophysics and in the lab journal August 2013
Hydromagnetics of rotating fluids journal February 1973
Ekman-Hartmann layer in a magnetohydrodynamic Taylor-Couette flow journal December 2007
Instabilities in magnetized spherical Couette flow journal August 2011
Nonlinear stability of laboratory quasi-Keplerian flows journal February 2014
Numerical simulations of the Princeton magnetorotational instability experiment with conducting axial boundaries journal December 2016
Observation of a Free-Shercliff-Layer Instability in Cylindrical Geometry journal April 2012
Experimental Observation and Characterization of the Magnetorotational Instability journal September 2004
Instability, turbulence, and enhanced transport in accretion disks journal January 1998

Cited By (1)

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

Figures / Tables (5)

FIG. 1(p. 2)figure FIG. 1
FIG. 2(p. 2)figure FIG. 2
FIG. 3(p. 3)figure FIG. 3
FIG. 4(p. 3)figure FIG. 4
FIG. 5(p. 4)figure FIG. 5

Similar Records

Effects of Axial Boundary Conductivity on a Free Stewartson-Shercliff Layer
Dataset · Sun Dec 31 23:00:00 EST 2017 · OSTI ID:1561996
Velocity measurements and free-shear-layer instabilities in a rotating liquid metal
Thesis/Dissertation · Mon Dec 31 23:00:00 EST 2012 · OSTI ID:1365796
Taylor–Couette flow for astrophysical purposes
Journal Article · Sun Mar 12 20:00:00 EDT 2023 · Philosophical Transactions of the Royal Society. A, Mathematical, Physical and Engineering Sciences · OSTI ID:1963010

Related Subjects

42 ENGINEERING
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS