NONLINEAR BUBBLE OSCILLATIONS
CALIFORNIA INST OF TECH PASADENA DIV OF ENGINEERING AND APPLIED SCIENCE
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Numerical solutions were obtained for the motion of a gas bubble in an incompressible liquid when harmonic pressure oscillations are imposed. The mean pressure in the liquid was taken to be 1 atm and the ratio of oscillating pressure amplitude, A, to the mean pressure was given the values 0.2, 0.5, 1.0 and 2.0. The equilibrium bubble radius was chosen to be R sub o .01, .001 and, .0001 cm, and the angular frequency of the pressure variations was omega 20, 000, 70,000, and 120,000 per sec. The phenomena of bubble explosion or collapse were found for large A, i.e., 1.0 and 2.0. For the smaller values of A, the bubble radius varied with time within well-defined limits, but nonlinear effects were evident.
- Fluid Mechanics