Translation of two encapsulated bubbles in an ultrasound field

Abstract eng:
The expressions of the radial oscillation and translation of two encapsulated bubbles in an ultrasound field are derived analytically based on a potential flow with a viscous correction. The in-plane stress and bending moment of a viscoelastic membrane are balanced on the interface of the bubble with the hydrodynamic traction. The history force, in addition to the quasisteady viscous drag, is calculated by numerical solving the vorticity equation in toroidal direction. The translations of two bubbles agree with the prediction by Bjerknes’ theory in the attractive or repulsive movements under specific driving frequency. The encapsulating membrane shows more damping than the shear-free gas bubble due to the no-slip condition on encasulating membrane.

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