Experimental studies of rotational motions of two liquids at large amplitudes of transverse oscillations of the vessel

Аuthors

Win K. K.^*, Temnov A. N.^**

Baumann Moscow State Technical University, 105005, Moscow, 2nd Baumanskaya St., b. 5, c. 1

*e-mail: win.c.latt@gmail.com
**e-mail: antt45@mail.ru

Abstract

This paper examines an experimental study of oscillations of a two-layer liquid in a movable tank performing transverse oscillations with large excitation amplitudes. A description of the experimental setup is given, and the results of observations of the experiment are presented when rotational motion of the liquid interface occurs at the fundamental resonance frequency, as well as photographs of the behavior of the liquid interface.
The relevance of the problem under consideration is associated with the problem caused by the ever-increasing use of modern vehicles transporting large masses of liquid fuel, petroleum products, liquefied natural gas and cryogenic liquids and their use in industry and in rocket and space technology. One of the simplest models of such a heterogeneous liquid is a two-layer liquid completely filling the cavity of a solid.
In the course of experimental studies of small oscillations of a multilayer liquid, it was found that near the main resonant frequency, nonlinear deviations of the interface are observed, which then turn into rotational motion of the liquid layers. In this paper, an attempt is made to experimentally study the behavior of the interface in a two-layer liquid with considerable amplitudes of reciprocating oscillations of a solid.
When studying nonlinear oscillations of a body with a liquid, the equations of motion are significantly complicated and a number of authors have attempted to study such oscillations using a visual nonlinear mechanical model.
The features of linear and nonlinear oscillations of a homogeneous liquid partially filling the cavity of a moving and stationary solid body have been considered by Soviet scientists since the second half of the last century and published in books [1-3]. In works [2-3], nonlinear problems of rigid body dynamics were investigated, in which there are cavities filled with liquid with a free surface.
At the same time, similar studies were conducted in the USA. The results of these studies on the oscillations of the free surface of a homogeneous liquid are presented in the book by Abramson [4]. However, even at present, interest in the oscillations of the free surface of one liquid has not disappeared. This is evidenced by theoretical and experimental studies conducted at the Institute of Applied Mathematics of the Russian Academy of Sciences and published in works [5-8].
In works [5-6], the results of experiments on the excitation of the first mode of a two-dimensional standing gravitational wave on the surface of water in a rectangular vessel oscillating in the vertical direction were obtained. In the work [7] new results of experiments on the study of the influence of a floating thin plate on regular standing Faraday gravitational waves on the free surface of water in a rectangular vessel are given.

Keywords:

partial oscillation frequencies, liquid interface, excitation amplitude, rotation of the nodal diameter of liquids, fundamental resonance

References

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