Enviar artigo por via de e-mail On the threshold value of the vertical vibrations amplitude causing Faraday ripples on the charged surface of a viscous liquid
- Autores: Belonozhko D.F.1
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Afiliações:
- Demidov Yaroslavl State University
- Edição: Volume 88, Nº 1 (2024)
- Páginas: 148-153
- Seção: Wave Phenomena: Physics and Applications
- URL: https://cardiosomatics.ru/0367-6765/article/view/654799
- DOI: https://doi.org/10.31857/S0367676524010258
- EDN: https://elibrary.ru/RYVENX
- ID: 654799
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Resumo
The influence of the surface electric charge on the regularities of the formation of Faraday ripples on the horizontal surface of a viscous liquid is studied on the base of the approximation of small-amplitude perturbations. The typical horizontal dimensions of the Faraday ripples are established which is most significantly affected by the surface change density and viscosity.
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Sobre autores
D. Belonozhko
Demidov Yaroslavl State University
Autor responsável pela correspondência
Email: belonozhko@mail.ru
Rússia, Yaroslavl
Bibliografia
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- Карлов Н.В., Кириченко Н.А. Колебания, волны, структуры. М.: Физматлит, 2003. 496 c.
- Френкель Я.И. // ЖЭТФ. 1936. Т. 6. № 4. С. 348.
- Tonks L. // Phys. Rev. 1935. V. 48. P. 562.
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- Ильин М.М., Колесников К.С., Саратов Ю.С. Теория колебаний. М.: МГТУ им. Н.Э. Баумана, 2001. 272 с.
- Любимов Д.В., Любимова Т.П., Черепанов А.А. Динамика поверхности раздела в вибрационных полях. М.: Физматлит, 2003. 216 с.
- Пильгунов В.Н., Ефремова К.Д. // Радиостроение. 2020. № 06. С. 1.
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Ação
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Fig. 1. Instability zones of the Mathieu equation on the plane of parameters (Ω2, q).
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Fig. 2. Dependence of the dimensionless threshold value of the vertical vibration amplitude a on the dimensionless wave number for the dimensionless viscosity value v = 0.002 and different values of the Tonks-Frenkel parameter: 1 – W = 0; 2 – W = 0.5; 3 – W = 1.0; 4 – W = 1.5; 5 – W = 1.9.
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Fig. 3. Dependencies similar to Fig. 2, but constructed with a dimensionless viscosity value v = 0.02.
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Fig. 4. Dependence of the dimensionless threshold value of the vertical vibration amplitude on the dimensionless viscosity at the dimensionless wave number k = 1 and different values of the Tonks-Frenkel parameter: 1 – W = 0; 2 – W = 0.5; 3 – W = 1.0; 4 – W = 1.5; 5 – W = 1.9.
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