无粘可压缩环形流的磁稳定性分析

IF 0.8 4区 综合性期刊 Q3 MULTIDISCIPLINARY SCIENCES
S. Prakash, M. Subbiah
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引用次数: 0

摘要

本文研究了含轴向和方位角速度分量的无粘可压缩流体在轴对称扰动下的磁稳定性。对任意不稳定扰动的增长率进行了估计。结果表明,任何不稳定磁-亚音速轴对称模的复相速度必须位于半椭球型区域,该区域与可压缩性、分层和磁场参数有关。对于单调轴向速度剖面,根据Richardson数判据,该半椭球型不稳定区域简化为\(c_{i}=0\)为最小Richardson数\({\widetilde{J}}_{m}\rightarrow \frac{1}{4}-\)。此外,对于一类磁超声速轴对称扰动,还得到了依赖于最小局域Richardson数的半椭圆不稳定区域。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

On the Hydromagnetic Stability Analysis of Inviscid Compressible Annular Flows

On the Hydromagnetic Stability Analysis of Inviscid Compressible Annular Flows

The hydromagnetic stability of inviscid compressible flows with axial and azimuthal velocity components in an annular channel has been studied to axisymmetric disturbances. An estimate for the growth rate of arbitrary unstable disturbances is obtained. It is shown that the complex phase-velocity of any unstable magneto-subsonic axisymmetric mode must lie in a semiellipse-type region, which depends on the parameters of compressibility, stratification and the magnetic field. For a monotonic axial velocity profile, this semiellipse-type instability region reduces to the line \(c_{i}=0\) as the minimum Richardson number \({\widetilde{J}}_{m}\rightarrow \frac{1}{4}-\) in accord with the Richardson number criterion. Further, an semi-elliptical instability region depending on the minimum local Richardson number is also obtained for a class of magneto-supersonic axisymmetric disturbances.

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来源期刊
CiteScore
2.60
自引率
0.00%
发文量
37
审稿时长
>12 weeks
期刊介绍: To promote research in all the branches of Science & Technology; and disseminate the knowledge and advancements in Science & Technology
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