电邮这篇文章 On the threshold value of the vertical vibrations amplitude causing Faraday ripples on the charged surface of a viscous liquid
- 作者: Belonozhko D.F.1
-
隶属关系:
- Demidov Yaroslavl State University
- 期: 卷 88, 编号 1 (2024)
- 页面: 148-153
- 栏目: Wave Phenomena: Physics and Applications
- URL: https://edgccjournal.org/0367-6765/article/view/654799
- DOI: https://doi.org/10.31857/S0367676524010258
- EDN: https://elibrary.ru/RYVENX
- ID: 654799
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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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作者简介
D. Belonozhko
Demidov Yaroslavl State University
编辑信件的主要联系方式.
Email: belonozhko@mail.ru
俄罗斯联邦, Yaroslavl
参考
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- Карлов Н.В., Кириченко Н.А. Колебания, волны, структуры. М.: Физматлит, 2003. 496 c.
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- 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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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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