Oscillations of a Bubble Attached to a Capillary Tip

The contribution provides a procedure for computing the eigenmode frequencies, shapes and dampings for the case of oscillations of a bubble or drop attached to a capillary tip. The procedure is based on the analysis of Bostwick and Steen, but its results are recast to a more convenient and more compact form. Analytical results are in a good agreement with experiments, if the bubble size is sufficiently smaller than the size at detachment due to Archimedes forces