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The motion of a buoyant vortex filament

TitleThe motion of a buoyant vortex filament
Publication TypeJournal Article
Year of Publication2018
AuthorsChang C., Smith SGL
JournalJournal of Fluid Mechanics
Date Published2018/10
Type of ArticleArticle
ISBN Number0022-1120
Accession NumberWOS:000448118700001
Keywordsdynamics; mechanics; physics; ring bubbles; vortex dynamics; vortex flows

We investigate the motion of a thin vortex filament in the presence of buoyancy. The asymptotic model of Moore & Saffman (Phil. Trans. R. Soc. bond. A, vol. 272, 1972, pp. 403-429) is extended to take account of buoyancy forces in the force balance on a vortex element. The motion of a buoyant vortex is given by the transverse component of force balance, while the tangential component governs the dynamics of the structure in the core. We show that the local acceleration of axial flow is generated by the external pressure gradient due to gravity. The equations are then solved for vortex rings. An analytic solution for a buoyant vortex ring at a small initial inclination is obtained and asymptotically agrees with the literature.

Short TitleJ. Fluid Mech.
Student Publication: