Inviscid helical magnetorotational instability in cylindrical Taylor-Couette flow
نویسندگان
چکیده
منابع مشابه
New type of magnetorotational instability in cylindrical taylor-couette flow.
We study the stability of cylindrical Taylor-Couette flow in the presence of combined axial and azimuthal magnetic fields, and show that adding an azimuthal field profoundly alters the previous results for purely axial fields. For small magnetic Prandtl numbers Pm, the critical Reynolds number Re(c) for the onset of the magnetorotational instability becomes independent of Pm, whereas for purely...
متن کاملHelical magnetorotational instability in magnetized Taylor-Couette flow.
Hollerbach and Rüdiger have reported a new type of magnetorotational instability (MRI) in magnetized Taylor-Couette flow in the presence of combined axial and azimuthal magnetic fields. The salient advantage of this "helical" MRI (HMRI) is that marginal instability occurs at arbitrarily low magnetic Reynolds and Lundquist numbers, suggesting that HMRI might be easier to realize than standard MR...
متن کاملComment on "Helical magnetorotational instability in magnetized Taylor-Couette flow".
Liu [Phys. Rev. E 74, 056302 (2006)] have presented a WKB analysis of the helical magnetorotational instability (HMRI), and claim that it does not exist for Keplerian rotation profiles. We show that, if radial boundary conditions are included, the HMRI can exist even for rotation profiles as flat as Keplerian, provided only that at least one of the boundaries is sufficiently conducting.
متن کاملNonaxisymmetric magnetorotational instabilities in cylindrical Taylor-Couette flow.
We study the stability of cylindrical Taylor-Couette flow in the presence of azimuthal magnetic fields, and show that one obtains nonaxisymmetric magnetorotational instabilities, having azimuthal wave number m=1. For Omega{o}/Omega{i} only slightly greater than the Rayleigh value (r{i}/r{o}){2}, the critical Reynolds and Hartmann numbers are Re{c} approximately 10{3} and Ha{c} approximately 10{...
متن کاملThe Weakly Nonlinear Magnetorotational Instability in a Global, Cylindrical Taylor-couette Flow
We conduct a global, weakly nonlinear analysis of the magnetorotational instability (MRI) in a Taylor-Couette flow. This is a multiscale perturbative treatment of the nonideal, axisymmetric MRI near threshold, subject to realistic radial boundary conditions and cylindrical geometry. We analyze both the standard MRI, initialized by a constant vertical background magnetic field, and the helical M...
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ژورنال
عنوان ژورنال: Physical Review E
سال: 2011
ISSN: 1539-3755,1550-2376
DOI: 10.1103/physreve.84.066314