Email this article On Cylinder Dynamics in Bounded Ideal Fluid Flow with Constant Vorticity
- Authors: Petrov A.G.1, Yudin M.A.2,3
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Affiliations:
- Ishlinsky Institute for Problems in Mechanics
- Central Aerohydrodynamic Institute
- Moscow Institute of Physics and Technology
- Issue: Vol 54, No 7 (2019)
- Pages: 898-906
- Section: Article
- URL: https://journals.rcsi.science/0015-4628/article/view/156461
- DOI: https://doi.org/10.1134/S0015462819070127
- ID: 156461
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Abstract
The stability of a moving cylinder in a circulation flow of an ideal incompressible fluid with constant vorticity inside a stationary outer cylinder is investigated using Lagrangian mechanics methods. The Lagrange function in the form of a series expansion by a small displacement of the cylinder and the stability condition in the nonlinear approximation are obtained.
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About the authors
A. G. Petrov
Ishlinsky Institute for Problems in Mechanics
Author for correspondence.
Email: petrovipmech@gmail.com
Russian Federation, Moscow, 119526
M. A. Yudin
Central Aerohydrodynamic Institute; Moscow Institute of Physics and Technology
Author for correspondence.
Email: mikleudin@yandex.ru
Russian Federation, Zhukovskiy, Moscow region, 140180; Dolgoprudny, Moscow region, 141701
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