Wed January 27th 2016
16:30 – 17:00
Seminar Dominant nonlinearities in the Rayleigh-Plesset equation
Rodrigo Ezeta


The Rayleigh-Plesset equation (RP) models successfully the radial oscillation of a spherical bubble driven by an acoustic field. Nonlinear effects are well-known to be present when the value of the driving pressure is very high. A consequence of the latter is the build up of harmonics and subharmonics within the resonance curves as the driving pressure is increased. To what extent each term in the equation contributes to the nonlinearities is not known and
far from trivial. In this study, we present a theoretical novel exercise to determine which term indeed contributes
the most to these nonlinearities. To do so, we look at the linearized equation and substitute each linearized term
for its nonlinear counterpart, we then examine what happens with the frequency of maximum response (FMR) as a function of the driving pressure. We use the same technique to study the influence of the nonlinearities on a coated bubble via a modified Rayleigh-Plesset equation that accounts for the coating of the bubble.
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The 10th Complex Motion in Fluids 2021
Max Planck Gesellschaft
Centre for Scientific Computing