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Physical impact of a surfactant on the nonlinear oscillations of a microbubble considering a dynamic surface tension and subject to an external acoustic field
Phys. Rev. Fluids 7, 063603 – Published 27 June, 2022
DOI: https://doi.org/10.1103/PhysRevFluids.7.063603
Abstract
The dynamics of microbubbles under the action of external acoustic forces has become particularly important in several applications. In this work, we are particularly interested in studying the transport of surfactant molecules to the surface of an oscillating microbubble, considering the impact that the dynamic surface tension and temporal evolution of the radius of the microbubble has when an acoustic pressure as a driving force is used to promote the nonlinear oscillations. The resulting governing equations to predict the radius of the microbubble and the evolution of the surfactant at the surface are written in dimensionless form. For these equations, we identify two fundamental dimensionless parameters: the Gibbs elasticity , and the cohesive (or repulsive) parameter . Using the physical domain and , and considering that the diffusive Péclet number is large, as occurs in some applications, the surfactant concentration equation is solvable by using a similarity transformation, whereas the Rayleigh-Plesset-type equation that includes the influence of the previous parameters and is solved by the fourth-order Runge-Kutta method. When the numerical predictions are compared with the well-known cases , strong deviations reveal that the oscillation mechanisms can be significantly altered.
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