Coupling of radial and translational motion in small viscous bubblesReport as inadecuate

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1 LMM - Laboratoire de modélisation en mécanique

Abstract : In this article we are interested in the coupling between the translational and radial velocity of a bubble trapped in an acoustic field. We write a simple model for the momentum equation of the center of gravity of the bubble. An analytic solution is derived in the case of small radial and translational oscillations. This solution is compared to numerical solutions of the model equation and to full axisymmetric Navier-Stokes numerical simulations. Satisfying agreement is found and the non-linear model equations are applied to the case of sonoluminescing bubbles. In this case, the amplitude of the bubble motion is found to be negligible. This suggests that the influence of the varying pressure gradient on the translational motion is not as significant as originally anticipated in the case of sonoluminescence.

Keywords : acoustics bubble mathematical modeling velocity

Author: Stéphane Popinet - Stéphane Zaleski -



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