Global stability analysis of bubbles rising in a vertical capillary with an external flow
نویسندگان
چکیده
We study the linear stability of bubbles in a capillary tube under external flow. Yu et al. ( J. Fluid Mech. , vol. 911, 2021, pp. 1–19) showed that rich variety bubble dynamics occurs when downward flow is applied, opposing buoyancy-driven ascent bubble. They found experimentally and numerically existence two branches solutions overlap over finite range number cases where Reynolds small Bond larger than critical value for which can rise spontaneously (Bretherton, 10, issue 2, 1961, 166–188). Furthermore, inertialess, symmetry-breaking steady-state shapes were as transits near tipping points solution branches. In this work, using steady axisymmetric simulations, we show reported multiplicity be described bifurcation diagrams with three limit points. The global analysis different stationary demonstrates symmetry breaking due to development three-dimensional instabilities azimuthal wavenumber $|m|=1$ .
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ژورنال
عنوان ژورنال: Journal of Fluid Mechanics
سال: 2023
ISSN: ['0022-1120', '1469-7645']
DOI: https://doi.org/10.1017/jfm.2023.123