Experiments on the magnetorotational instability in helical magnetic fields

The magnetorotational instability (MRI) plays a key role in the formation of stars and black holes, by enabling outward angular momentum transport in accretion discs. The use of combined axial and azimuthal magnetic fields allows the investigation of this effect in liquid metal flows at moderate Reynolds and Hartmann numbers. A variety of experimental results is presented showing evidence for the occurrence of the MRI in a Taylor?Couette flow using the liquid metal alloy GaInSn.

[1]  Hantao Ji,et al.  Hydrodynamic turbulence cannot transport angular momentum effectively in astrophysical disks , 2006, Nature.

[2]  E. Knobloch.  SYMMETRY AND INSTABILITY IN ROTATING HYDRODYNAMIC AND MAGNETOHYDRODYNAMIC FLOWS , 1996 .

[3]  Helical magnetorotational instability in magnetized Taylor-Couette flow. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[4]  R. Hollerbach,et al.  End‐effects in rapidly rotating cylindrical Taylor‐Couette flow , 2004, astro-ph/0506081.

[5]  G. Rüdiger,et al.  Linear magnetohydrodynamic Taylor-Couette instability for liquid sodium. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[6]  J. Hawley,et al.  A powerful local shear instability in weakly magnetized disks. I - Linear analysis. II - Nonlinear evolution , 1990 .

[7]  L. Rayleigh.  On the Dynamics of Revolving Fluids , 1917 .

[8]  G. Rüdiger,et al.  Linear instability of magnetic Taylor-Couette flow with Hall effect. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[9]  A. Bonanno,et al.  Hydromagnetic instability in differentially rotating flows. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[10]  Experimental observation and characterization of the magnetorotational instability. , 2004, Physical review letters.

[11]  G. Gerbeth,et al.  MRI in Taylor‐Dean flows , 2004 .

[12]  Experimental observation of the quasiperiodic modes in a rotating Couette system. , 1993, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[13]  Sven Eckert,et al.  Local flow structures in liquid metals measured by ultrasonic Doppler velocimetry , 2004 .

[14]  R. Rosenfeld.  Nature , 2009, Otolaryngology--head and neck surgery : official journal of American Academy of Otolaryngology-Head and Neck Surgery.

[15]  E. Knobloch.  On the stability of magnetized accretion discs , 1992 .

[16]  Interaction between Ekman pumping and the centrifugal instability in Taylor–Couette flow , 2003 .

[17]  G. Gerbeth,et al.  Experimental evidence for magnetorotational instability in a Taylor-Couette flow under the influence of a helical magnetic field. , 2006, Physical review letters.

[18]  S. Balbus,et al.  Linear Analysis of the Hall Effect in Protostellar Disks , 2000, astro-ph/0010229.

[19]  R. Hollerbach,et al.  The stability of MHD Taylor‐Couette flow with current‐free spiral magnetic fields between conducting cylinders , 2005, astro-ph/0507123.

[20]  R. Hollerbach,et al.  New type of magnetorotational instability in cylindrical taylor-couette flow. , 2005, Physical review letters.

[21]  V. Steinberg,et al.  Convective vs. Absolute Instability in Couette-Taylor Flow with an Axial Flow , 1991 .

[22]  G. Gerbeth,et al.  Colloquium: Laboratory experiments on hydromagnetic dynamos , 2002 .

[23]  J. M. Oshorn.  Proc. Nat. Acad. Sei , 1978 .

[24]  M. Wardle.  The Balbus-Hawley instability in weakly ionized discs , 1998, astro-ph/9809349.

[25]  Turbulence in differentially rotating flows. What can be learned from the Couette-Taylor experiment , 1999, astro-ph/9903374.

[26]  R. Rosner,et al.  The Traveling-Wave MRI in Cylindrical Taylor-Couette Flow: Comparing Wavelengths and Speeds in Theory and Experiment , 2006, astro-ph/0607041.

[27]  S. Chandrasekhar,et al.  THE STABILITY OF NON-DISSIPATIVE COUETTE FLOW IN HYDROMAGNETICS. , 1960, Proceedings of the National Academy of Sciences of the United States of America.

[28]  John F. Hawley,et al.  A powerful local shear instability in weakly magnetized disks. III - Long-term evolution in a shearing sheet. IV - Nonaxisymmetric perturbations , 1992 .