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JOURNALS // Chemical Physics and Mesoscopics // Archive

CPM, 2016 Volume 18, Issue 4, Pages 515–523 (Mi chphm304)

Simulation of oscilations liquid droplet lying on a vibrating undeformable base

I. M. Kuz'min, A. S. Sarmakeeva, A. A. Chernova

Institute of Mechanics, Ural Branch of the Russian Academy of Sciences, Izhevsk, Russia

Abstract: The behavior of a drop of viscous Newtonian fluid, which is lies on a solid un-deformable rigid base, produces vertical vibration of low frequency (85 Hz) is studied. Numerical simulation of dynamics of a vibrating fluid by Volume of Fluid method (VOF) is produced. Therefore, was discussed how to obtain the equilibrium configuration of drop. It is found that for stationary droplet form, close to the experimental use of a cylindrical column to describe initial situation of liquid is appropriate. Effect of accounting model the contact angle at the triple point of the base liquid gas is investigated. The need to address the dynamic changes in the contact angle is shown. Waveforms Profile drop isotachs in the plane of symmetry, and changes depending on the time of drop height for the second mode of forced oscillations of a drop corresponding to the base of the vibration with a frequency of 85 Hz, also obtained. One ring line of nodes on free surface, corresponding to the second oscillation mode is fixed. Dependence of topology internal flows in a drop from the base movement direction identified and described in the example isotachs. The dependence of the change of height drops resulting from modeling the known experimental data corresponds to. Comparison of numerical results with experimental data is made and allows us to conclude that the method used adequately describes the processes of energy transfer from the base to drop.

Keywords: liquid droplet, Faraday wave, free surface, Volume of Fluid method, contact angle.

UDC: 519.63:532.5



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