Extended Semicircle and Semi-Ellipse Theorems for the Heterogeneous Swirling Flow of an Incompressible Fluid

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概要

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• It is shown that for the heterogeneous swirling flow with non-negative density-gradient and non-negative velocity-density-dependent factors, the complexangular phase-velocity of the unstable m, k mode must lie within the semicircleC(*) whose diameter is equal to b -aAr(p -X)17(l and center is located at [(6+a-l-(/?-l-a)r)/2, Ol. Here m and k are the azimuthal and axial wavenumbers. tzkpm. a, b and X, p are the lower and upper bounds of the rotating and the axialvelocity. The domain of angular phase-velocity for any unstable mode is con-structed as a sum area in the upper half-plane enclosed by the two semicirclesc(zc.) and C(tc..) and the tangential lines t.,.. and tg.- if exist. mere t.. meansthe line tangential to C(0) and C(x). The maximum M% and the minimum zc- ofzc are determined by the instability condition. If the effects of rotational stratifica-tion, Rayleigh-Synge's discriminant and axial flow are incorporated the semi-circle is transformed into a semi-ellipse.

• 社団法人日本物理学会の論文
• 1985-05-15

著者

• Sasakura Y

  Japan Atomic Energy Research Institute

• Sasakura Yutaka

  Japan Atomic Energy Research Institute

関連論文

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• Stability Conditions for Circular Flows of Ordinary Fluid and Hydromagnetic Fluid in Axial Magnetic Field with Respect to Flute-Mode Perturbations
• A Turbulence Theory of the Logitudinal Waves in Electron Plasmas
• Extension of the Miles-Howard Theorem to the Circular Flows of a Compressible Fluid
• Extended Semicircle and Semi-Ellipse Theorems for the Heterogeneous Swirling Flow of an Incompressible Fluid
• Semicircle Theorem for the Rotating Flow in an Azimuthal Magnetic Field with Respect to Azimuthal Perturbations
• 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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