STEADY-STATE AMPLITUDE OF RADIAL OSCILLATIONS OF A GAS BUBBLE IN A VISCOELASTIC FLUID AT RESONANCE
A.G. Petrov1, Yu.V. Fedorov2
1Institute of Mechanics, Lomonosov Moscow State University, Moscow, Russia
2Federal Research Center “Kazan Scientific Center of the Russian Academy of Sciences”, Kazan, Russia
Keywords: gas bubble, viscoelastic fluid, forced oscillation, linear resonant frequency, homobaricity
Abstract
Forced nonlinear oscillations of a gas bubble in a viscoelastic fluid are considered for the case where the oscillation frequency of the external fluid pressure coincides with the undamped linear resonant frequency of the bubble. The averaging method is applied to derive a formula for the dependence of the bubble oscillation amplitude on the external pressure amplitude, the adiabatic exponent, and the viscoelastic properties of the fluid. Computational results obtained using this formula are shown to be in good agreement with numerical simulation results.
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