Astronomy and Astrophysics – Astronomy
Scientific paper
Mar 1996
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996mnras.279..152o&link_type=abstract
Monthly Notices of the Royal Astronomical Society, Volume 279, Issue 1, pp. 152-164.
Astronomy and Astrophysics
Astronomy
57
Accretion, Accretion Discs, Hydrodynamics, Instabilities, Mhd
Scientific paper
The stability of a differentially rotating, cylindrical fluid body containing an azimuthal magnetic field is investigated by solving the linear eigenvalue problem for non-axisymmetric perturbations. The model system consists of a perfectly conducting, ideal, incompressible fluid contained within cylindrical boundaries. It is found that exponentially growing modes are always present when the angular velocity decreases outwards, unless the magnetic field exceeds a certain strength. In the weak-field limit, growth rates approaching the Oort constant A can be attained. In the absence of diffusion, the instability grows preferentially at arbitrarily small scales. A purely magnetic instability can also be present, and persists when the magnetic field is arbitrarily strong. The growing modes are found to depend on the presence of at least one radial boundary. The structure of the spectrum of discrete eigenvalues is discussed in relation to the Alfven continua, and the limit points of eigenvalues at large axial wavenumber are obtained. Analogous behaviour is found in a system with Cartesian geometry, which more accurately describes models currently being used to study non-linear behaviour in accretion discs.
Ogilvie Gordon I.
Pringle James E.
No associations
LandOfFree
The non-axisymmetric instability of a cylindrical shear flow containing an azimuthal magnetic field does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The non-axisymmetric instability of a cylindrical shear flow containing an azimuthal magnetic field, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The non-axisymmetric instability of a cylindrical shear flow containing an azimuthal magnetic field will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-1615716