A NEW DAMPING MECHANISM IN NON-LINEAR BUBBLE DYNAMICS

Non-linear equations of radial motion of a gas bubble in a compressible viscous liquid have been modified considering simultaneous effects of viscosity and compressibility. A new set of equations has been derived including new terms resulted from consideration of viscosity and compressibility not only at the bubble interface, but also in the bulk of liquid. By performing numerical calculations, it is shown that the new terms exhibit an important damping role at the time of bubble collapse, so that their consideration dramatically weakens the bubble rebounds after the collapse.