Semi-Ellipse Theorem for the Heterogeneous Swirling Flow in an Azimuthal Magnetic Field with Respect to Axisymmetric Disturbances
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概要
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The instability of the density-stratified swirling flow in an azimuthal magneticfield is investigated for the axisymmetric disturbance. An assumption of positiveRayleigh-Synge-Michael's discriminant is made. It is shown that the complexphase-velocity of any unstable axisymmetric mode must lie within the semi-ellipsewhich has the range of axial flow-velocity for major axis and ( l -F X/ j - 4 ./../X/ 2times the range for minor axis. Here J represents an extended local Richardsonnumber to the present flow and the suffix m means the minimum value in theflow field. J.. must be less than 1/4 by the necessary condition for instability.
- 社団法人日本物理学会の論文
- 1984-06-15
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