On the motion of a bubble produced by taylor instability of superposed fluids in a cylindrical tube

The motion of the air bubble, produced during Taylor instability of superposed fluids in a cylindrical tube is studied. The effects of surface tension and curvature of the interface are taken into account in the analysis which includes the non-linear terms also in an approximate manner. Both the unsteady and the steady state of the motion are considered. Variation of the height of the vertex of the bubble with time is given for various values of the parameter which is the ratio of the surface tension force to the gravitational force. The steady state velocity of the bubble given by the theory agrees closely with the experiment of Davies and Taylor. © 1969, THE PHYSICAL SOCIETY OF JAPAN. All rights reserved.