Particle-Free Air Bubble Interaction in Liquid
S. A. Kondrat'ev1, N. P. Moshkin1,2,3
1Chinakal Institute of Mining, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia
2Lavrentiev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia
3Novosibirsk State University, Novosibirsk, Russia
Keywords: flotation, mineral particle, air bubble, bubble surface vibrations
Abstract
The authors study dynamics of heavy particle attached to the surface of free air bubble in liquid. The bubble with its surface vibrations and the particle are considered as a single mechanical system with geometric constraint. It is assumed that the main forces to govern interaction of these objects are the inertia force due to surface vibration of the bubble and the capillary adhesion force. The stability conditions of particle-bubble flotation aggregate at various initial surface vibrations of the bubble and at different masses of the particle are described. The velocities of the surface vibration modes are governed by the energy of turbulent pulsations in liquid.
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