Open AccessEffect of the internal pressure on oscillations of a cylindrical gas bubble
Author(s) -
Алексей Анатольевич Алабужев
Publication year - 2020
Publication title -
vestnik permskogo universiteta. seriâ, fizika
Language(s) - English
Resource type - Journals
ISSN - 1994-3598
DOI - 10.17072/1994-3598-2020-4-51-62
Subject(s) - bubble , mechanics , amplitude , compressibility , cylinder , dissipative system , oscillation (cell signaling) , vibration , contact angle , physics , resonance (particle physics) , classical mechanics , optics , geometry , thermodynamics , chemistry , atomic physics , acoustics , mathematics , biochemistry
Natural and forced oscillations of a gas bubble are studied. The bubble has the shape of a round cylinder in the state of equilibrium. It is bounded in the axial direction by two parallel solid surfaces and is surrounded by an incompressible liquid of a finite volume with a free outer surface. The entire system is under an alternating pressure field. The velocity of the contact line of three media (gas-liquid-solid substrate) is proportional to the deviation of the contact angle from the equilibrium value. The frequency of eigenmodes of a gas bubble can increase with an increase in the Hocking parameter, in contrast to the frequencies of an incompressible liquid drop, which only decrease. It is shown that radial oscillations of a cylindrical bubble are possible only in a finite volume of liquid. The effect of crossing the modes of natural oscillations is considered for the dissipative case. The amplitude-frequency characteristics are constructed for different values of the internal gas pressure. Resonance phenomena are found. It is shown that the external influence excites, first of all, volumetric oscillations of the bubble. Variations in shape are caused by the movement of the contact line. Expressions are found for the vibration amplitude in the case of a fixed contact line and a fixed contact angle.