Motion of Gas Bubbles and Rigid Particles in Vibrating Fluid-Filled Volumes

AbstractMotion of gas bubbles and rigid particles in an oscillating fluid is of fundamental interest for the theory of various widely used technological processes, in particular, for the flotation process. Therefore, many studies have been concerned with this problem, some of those being undertaken by eminent scientists. The main remarkable effects are heavy particles rising and light particles (gas bubbles) sinking in vibrating fluid's volume, and asynchronous self-induced vibration of emerging air cushion.In the authors’ recent papers, the problem has been solved by means of the concept of vibrational mechanics and the method of direct separation of motions; experimental studies have been also conducted. The present paper generalizes and supplements these studies. A special attention is given to the analysis of motion of bubbles and light rigid particles, whose sizes are small in comparison with the amplitude of external excitation; motion of larger (compressible) bubbles is also considered in the paper. It is shown that at certain parameters of external excitation such particles and bubbles will sink in the fluid, corresponding conditions are formulated