The dynamics of a droplet in a capillary constriction underwave excitation


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Abstract

The frequency dependence of the amplitude of the wave excitation mobilizing a droplet trapped in a capillary constriction is determined. The effect of droplet viscosity is analyzed. The problem of free longitudinal oscillations of a viscous-fluid droplet in a capillary constriction is considered. The influence of the surface tension, the droplet volume, and the constriction shape on the natural frequency of droplet longitudinal oscillations is studied. A formula for calculating the droplet natural frequency in the conical constriction is obtained and analyzed.

About the authors

A. A. Gubaidullin

Tyumen branch of Khristianovich Institute of Theoretical and Applied Mechanics; Tyumen State Oil and Gas University

Author for correspondence.
Email: gubai@tmn.ru
Russian Federation, ul. Taimyrskaya 74, Tyumen, 625026; ul. Volodarskogo 38, Tyumen, 625000

A. Yu. Maksimov

Tyumen branch of Khristianovich Institute of Theoretical and Applied Mechanics; Tyumen State University

Email: gubai@tmn.ru
Russian Federation, ul. Taimyrskaya 74, Tyumen, 625026; ul. Volodarskogo 6, Tyumen, 625003

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