Local Stability of Two-Dimensional Steady Irrotational Solenoidal Flows with Closed Streamlines
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概要
- 論文の詳細を見る
We investigate the linear stability of regions of two-dimensional steady irrotational flows in which streamlines are closed, with respect tothree-dimensional perturbations of short wavelengths. The fluid is assumedto be inviscid and incompressible. The geometrical optics equations derived by Hameiri and Lifschitz are employed.It is demonstrated that, at large times, both short-waveperturbation velocity and vorticity grow in magnitude at most linearly in time. It implies that there are no exponentially growing short-wave instabilities in such a flow domain. The same result holds if the flow field is steady relative to a suitably chosen steadily rotating frame and the net vorticity relative to the inertial frame is zero.
- Physical Society of Japanの論文
- 1996-01-15
著者
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Miyazaki Takeshi
Department Of Materials Science And Technology Nagaoka University Of Technology
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Miyazaki Takeshi
Department of Mechanical and Control Engineering,
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Fukumoto Yasuhide
University of Electro-Communications, Chofu, Tokyo 182
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Miyazaki Takeshi
Department of Applied Chemistry, Faculty of Engineering, Osaka University
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