On the threshold value of the vertical vibrations amplitude causing Faraday ripples on the charged surface of a viscous liquid

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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

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Email: belonozhko@mail.ru
俄罗斯联邦, Yaroslavl

参考

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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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