Bulletin of the American Physical Society
71st Annual Meeting of the APS Division of Fluid Dynamics
Volume 63, Number 13
Sunday–Tuesday, November 18–20, 2018; Atlanta, Georgia
Session D09: Bubbles: Dynamics I
2:30 PM–4:40 PM,
Sunday, November 18, 2018
Georgia World Congress Center Room: B214
Chair: Omar Matar, Imperial College London
Abstract ID: BAPS.2018.DFD.D09.1
Abstract: D09.00001 : The transition between steady states: A time-dependent Bretherton bubble*
2:30 PM–2:43 PM
Yingxian Estella Yu
Yingxian Estella Yu
(University of Bristol)
Howard A Stone
When a confined bubble translates steadily in a cylindrical capillary, with negligible gravity effects, a uniform thin film of fluid separates the bubble surface and the tube wall. Although a wide variety of investigations have been carried out analyzing the relationship between the film thickness profile and the bubble velocity, most of the literature considers the case where the translational velocity is a constant, thus the bubble profile is steady. Instead, in this work, we investigate how this steady state is established by considering the transitional motion of the bubble as it adjusts its film thickness profile between two steady states, characterized by two different bubble speeds. During the transition, two uniform film regimes coexist, separated by a step-like transitional region. The transitional motion also requires modification of the film solution near the rear of the bubble, which depends on the ratio of the two capillary numbers. These theoretical results are further verified by experiments and numerical simulations.
*We thank the NSF for support via grant CBET-1804863. JE acknowledges support from the Leverhulme Trust through International Academic Fellowship IAF-2017-010. YEY thanks the PEI for support via Mary and Randall Hack ‘69 Research Fund.
To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2018.DFD.D09.1
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