Abstract
Nonlinear oscillations of gas bubbles in viscoelastic non-Newtonian fluids remains a relatively unexplored area, but one of increasing importance with the growing use of high intensity ultrasound and contrast agents for imaging enhancement. Previous work by the authors focused on an analytical and numerical study of bubbles governed by linear viscoelastic constitutive equations. This work was constrained by the small deformation assumptions inherent in the equations. New numerical studies of objective viscoelastic constitutive equations reveal the limitations of the linear viscoelastic models and show many novel results. In particular, the risk of bioeffects from medical ultrasound and harmonic imaging applications are stressed. Questions about the trace of the stress tensor are also discussed. [Work supported by NIH and DARPA.]
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