On the motion of a spherical bubble deforming near a plane wall

    Research output: Contribution to journalArticleAcademicpeer-review

    25 Citations (Scopus)
    250 Downloads (Pure)


    Equations of motion are derived for an expanding spherical bubble in potential flow near a plane wall using the Lagrange-Thomson method and an extended Rayleigh dissipation function to account for the drag. This method is shown to yield the same acceleration of the bubble center as that obtained using the Lagally theorem. An extended Rayleigh-Plesset equation is derived to describe deformation in the vicinity of a plane wall, and expressions relating the drag force to the distance from the wall and the bubble growth rate are derived. The solution method for the velocity potential can also be applied to the case of non-spherical deformation.
    Original languageEnglish
    Pages (from-to)91-118
    JournalJournal of Engineering Mathematics
    Issue number2
    Publication statusPublished - 2002


    Dive into the research topics of 'On the motion of a spherical bubble deforming near a plane wall'. Together they form a unique fingerprint.

    Cite this