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Harmonic instability of the free surface of a low-viscosity liquid in a vertically oscillating vesselстатья
Информация о цитировании статьи получена из
Web of Science,
Scopus
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 27 февраля 2017 г.
- Авторы: Kalinichenko V.A., Kravtsov A.V., Rodriguez-Mijangos R., Sekerzh-Zen’kovich S.Y., Flores-Espinoza R.
- Журнал: Journal of Applied Mathematics and Mechanics (English translation of Prikladnaya Matematika i Mekhanika)
- Том: 64
- Номер: 2
- Год издания: 2000
- Издательство: Pergamon Press Ltd.
- Местоположение издательства: United Kingdom
- Первая страница: 275
- Последняя страница: 282
- DOI: 10.1016/S0021-8928(00)00049-6
- Аннотация: The linear problem of the parametric excitation of three-dimensional standing waves on the free surface of a liquid of low viscosity in a vessel of arbitrary shape, undergoing vertical oscillations, is investigated. The so-called harmonic instability, for which the natural frequency of the excited waves is close to the oscillation frequency of the vessel, is considered. Using the idea of a boundary layer and the Krylov-Bogolyubov averaging method, approximate formulae are derived for the quantities which define the conditions for harmonic instability-for the threshold oscillation amplitude of the vessel and the limits of the resonance zones. It is shown experimentally that it is possible for harmonic instability to occur on the surface of water in a rectangular vessel. The calculated values of the threshold amplitude and the limits of the resonance zones agree well with those measured experimentally. © 2000 Elsevier Science Ltd. All rights reserved.
- Добавил в систему: Поляков Петр Александрович