Abstract

A theory is given to describe the motion of a small spherical bubble in an inviscid liquid which is in forced oscillation with an up and down movement. The theory gives the frequency at which the downward force due to oscillation balances the buoyancy force; in this condition there is no net movement of the bubble, and the theory predicts that it should oscillate about a fixed point with an amplitude three times the amplitude imposed on the liquid. These results are only roughly in agreement with experimental data; it is clear that with all conceivable experiments in which a bubble is held stationary by vibration, the effect of viscous forces is important.

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