The Effect of Polymer Concentration on the Non-Linear Oscillation of a Bubble in a Sound-Irradiated Liquid

Abstract

Non-linear oscillations of bubbles in polymer solutions are theoretically examined by using a Williamson model fluid. The equation describing the bubble pulsation subject to oscillating pressure, the equation of the natural frequency of the bubble, and the pressure equation are derived. The effects of polymer concentration on the frequency response curve and the maximum pressure occurring at the bubble wall in PEO solutions are numerically clarified. Onset curves for the subharmonic resonances are also examined.