Non-spherical Dynamics of Gas Bubbles in Soft Matter
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The non-spherical dynamics of gas bubbles in soft matter are analytically investigated. We develop a model using Cauchy’s equation of motion in conjunction with a Kelvin-Voigt viscoelastic model, where it is assumed that the soft matter behaves in an irrotational fashion. The model is solved numerically and validated against experiments of non-spherical bubble oscillations in gelatin. The natural frequency of each non-spherical mode is obtained from the model, which is used to predict the unstable mode due to parametric resonance. Furthermore, we investigate the non-spherical bubble dynamics under ultrasound irradiation and examine viscoelastic effects on the time evolution of non-spherical mode amplitudes. Viscosity stabilizes non-spherical oscillations, while elasticity increases the natural frequency, which also changes the unstable mode.