Stability Conditions for Circular Flows of Ordinary Fluid and Hydromagnetic Fluid in Axial Magnetic Field with Respect to Flute-Mode Perturbations

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概要

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• By extending Rayleigh's theorems a sufficient condition for instability of circular flow of an inviscid compressible fluid with respect to flutemode perturbations is derived at a Mach number; (V_0/r)^2[r(ρ_0'/ρ_0)-(V_0/Vs)^2V_0(rV_0)'r^2≤0 throughout the flow field. For a non-dissipative compressible hydromagnetic fluid in an axial magnetic field, therefore, a sufficient instability condition for circular flow with respect to flute-mode perturbations at a low Alfven-Mach number can by readily obtained by replacing Vs^2 in the above inequality by Vs^2+VA^2. Here ρ_0(r) is the density, V_0(r), Vs(r) and V_A(r) are the prime denotes differentiation with respect to the radial distance r.

• 社団法人日本物理学会の論文
• 1974-08-15

著者

• 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
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• 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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