Semi-Ellipse Theorem for the Heterogeneous Rotating Flow with Respect to Three-Dimensional Disturbances

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概要

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• The semi-ellipse theorem for the heterogeneous rotating flow with respect tothe two-dimensional disturbance is extended to the three-dimensional disturbance.Two assumptions of positive density gradient and positive Rayleigh-Synge'sdiscriminant cI? are made. It is shown that the complex angular phase-velocity ofany unstable mode must lie within the semi-ellipse whose major axis equals b - a,while its minor axis changes in length from[1-F-4(o/#)7l?(1-l-v'l -47<) '] "'(b -a) if (cl>/tt.)..>2abto b -a as (clc/p.)- decreases below 2ab, 7< being (09/Q'J)-(pQ/p.r)., p.(r) thedensity, Q.(r) the angular velocity of rotating flow, a and b its lower and upperbounds, respectively, and r the radial distance. The prime denotes differentiationwith respect to r and the suffix m means the minimum valtte. 7? must be less than1 /4 by the necessary condition for instability.

• 一般社団法人日本物理学会の論文
• 1983-12-15

著者

• Sasakura Yutaka

  Japan Atomic Energy Research Institute

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• Semi-Ellipse Theorem for the Heterogeneous Swirling Flow in an Azimuthal Magnetic Field with Respect to Axisymmetric Disturbances
• Semi-Ellipse Theorem for the Heterogeneous Rotating Flow with Respect to Three-Dimensional Disturbances

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