Semicircle Theorem for the Rotating Flow in an Azimuthal Magnetic Field with Respect to Azimuthal Perturbations
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概要
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The instability of the heterogeneous rotating flow in an azimuthal magneticfield is investigated for the flute-mode disturbance. Both the density p. and themagnetic field intensity H./r divided by the radial distance are assumed to havenon-negative radial gradients. It is shown that the complex angular phase-velocityfor any unstable flute-mode must lie within the semicircle in the upper half-planewhich hasV(b ')' 4(Va/T')mfor diameter. If the square of this expression is negative the rotating flow is stable.Here a and b are, respectively, the lower and the upper bound of angular velocityof the rotating flow, V.(r) is the Alfv<Sn velocity and the suffix m means the mini-mum value.
- 社団法人日本物理学会の論文
- 1984-05-15
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関連論文
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- Semi-Ellipse Theorem for the Heterogeneous Rotating Flow with Respect to Three-Dimensional Disturbances