Motion of a Smooth Foil in a Fluid under the Action of External Periodic Forces. I
| Autor: | Evgeny V. Vetchanin, Alexey V. Borisov, Ivan S. Mamaev |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Physics
Integrable system 010102 general mathematics Phase (waves) Statistical and Nonlinear Physics 01 natural sciences Action (physics) Circulation (fluid dynamics) Classical mechanics 0103 physical sciences Torque 010307 mathematical physics 0101 mathematics Constant (mathematics) Trajectory (fluid mechanics) Mathematical Physics FOIL method |
| Zdroj: | Russian Journal of Mathematical Physics. 26:412-427 |
| ISSN: | 1555-6638 1061-9208 |
| DOI: | 10.1134/s1061920819040022 |
| Popis: | A plane-parallel motion of a circular foil is considered in a fluid with a nonzero constant circulation under the action of external periodic force and torque. Various integrable cases are treated. Conditions for the existence of resonances of two types are found. In the case of resonances of the first type, the phase trajectory of the system and the trajectory of the foil are unbounded. In the case of resonances of the second type, the foil trajectory is unbounded, while the phase trajectory of the system remains bounded during the motion. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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