Export citation

Export citation

Choose format for download:

Download Citation

    Translation and shape deformation of a microbubble driven by an acoustic traveling wave

    Stephen J. Shaw*

    • Department of Applied Mathematics, School of Mathematics and Physics, Xi'an Jiaotong-Liverpool University, 111 Ren Ai Road, Dushu Lake Higher Education Town, Suzhou, Jiangsu Province 215123, People's Republic of China

    • *Contact author: stephen.shaw@xjtlu.edu.cn

    Phys. Rev. E 113, 025103 – Published 18 February, 2026

    DOI: https://doi.org/10.1103/2nt8-t942

    Abstract

    The forcing of a micron sized gas bubble by an acoustic traveling wave in water is considered using a model which includes axisymmetric shape mode interactions to third order. In all cases, the resultant bubble motion is predicted to consist of small scale periodic oscillations superimposed upon a longer timescale, monotonically changing profile. For driving amplitudes below those necessary to cause parametrically induced instabilities to grow on the surface of the bubble, the long timescale bubble speed increases as the amplitude of the forcing increases but the resultant bubble motion induces markedly small scale deformation of the bubble surface which is dominated by the ellipsoidal mode. For cases where parametric instabilities grow but the driving pressure is not sufficient to cause bubble splitting or fragmentation, saturation due to nonlinear shape mode interactions occurs resulting in observable, sustained, finite amplitude shape deformation dominated by the parametrically excited mode. The induced shape deformation is found in turn to modify the bubble motion. In particular the speed of the long timescale monotonic translation is reduced to a new constant value and for sufficiently large forcing, this motion is found to reverse.

    Physics Subject Headings (PhySH)

    Authorization Required

    We need you to provide your credentials before accessing this content.

    References (Subscription Required)

    Outline

    Information

    Sign In to Your Journals Account

    Filter

    Filter

    Article Lookup

    Enter a citation