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On the threshold value of the vertical vibrations amplitude causing Faraday ripples on the charged surface of a viscous liquid
- Authors: Belonozhko D.F.1
-
Affiliations:
- Demidov Yaroslavl State University
- Issue: Vol 88, No 1 (2024)
- Pages: 148-153
- Section: 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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Abstract
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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About the authors
D. F. Belonozhko
Demidov Yaroslavl State University
Author for correspondence.
Email: belonozhko@mail.ru
Russian Federation, Yaroslavl
References
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Supplementary files
Supplementary Files
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1.
JATS XML
2.
Fig. 1. Instability zones of the Mathieu equation on the plane of parameters (Ω2, q).
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3.
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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4.
Fig. 3. Dependencies similar to Fig. 2, but constructed with a dimensionless viscosity value v = 0.02.
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5.
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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