Curvature suppresses the Rayleigh-Taylor instability

Trinh, Philippe H.; Kim, Hyoungsoo; Hammoud, Naima; Howell, Peter D.; Chapman, S. Jonathan; Stone, Howard A.

doi:10.1063/1.4876476

Title: Curvature suppresses the Rayleigh-Taylor instability

Journal Article · Tue May 20 00:00:00 EDT 2014 · Physics of Fluids

DOI:https://doi.org/10.1063/1.4876476· OSTI ID:1390219

Trinh, Philippe H. ^[1]; Kim, Hyoungsoo ^[2]; Hammoud, Naima ^[3]; Howell, Peter D. ^[1]; Chapman, S. Jonathan ^[1]; Stone, Howard A. ^[2]

Univ. of Oxford (United Kingdom). Oxford Centre for Industrial and Applied Mathematics, Mathematical Inst.
Princeton Univ., NJ (United States). Dept. of Mechaniclal and Aerospace Engineering
Princeton Univ., NJ (United States). Program in Applied and Computational Mathematics

We studied the dynamics of a thin liquid film on the underside of a curved cylindrical substrate. The evolution of the liquid layer is investigated as the film thickness and the radius of curvature of the substrate are varied. A dimensionless parameter (a modified Bond number) that incorporates both geometric parameters, gravity, and surface tension is identified, and allows the observations to be classified according to three different flow regimes: stable films, films with transient growth of perturbations followed by decay, and unstable films. We found that the experiments and theory confirm that, below a critical value of the Bond number, curvature of the substrate suppresses the Rayleigh-Taylor instability.

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Research Organization:: Princeton Univ., NJ (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Fusion Energy Sciences (FES)

Grant/Contract Number:: SC0008598

OSTI ID:: 1390219

Journal Information:: Physics of Fluids, Vol. 26, Issue 5; ISSN 1070-6631

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 32 works

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Dynamics of falling films on the outside of a vertical rotating cylinder: waves, rivulets and dripping transitions Rietz, Manuel; Scheid, Benoit; Gallaire, François Journal of Fluid Mechanics, Vol. 832 https://doi.org/10.1017/jfm.2017.657	journal	October 2017
Jetting of viscous droplets from cavitation-induced Rayleigh–Taylor instability Zeng, Qingyun; Gonzalez-Avila, Silvestre Roberto; Voorde, Sophie Ten Journal of Fluid Mechanics, Vol. 846 https://doi.org/10.1017/jfm.2018.284	journal	May 2018
Self-organized oscillations of Leidenfrost drops Ma, Xiaolei; Burton, Justin C. Journal of Fluid Mechanics, Vol. 846 https://doi.org/10.1017/jfm.2018.294	journal	May 2018
Fingering instability on curved substrates: optimal initial film and substrate perturbations Balestra, Gioele; Badaoui, Mohamed; Ducimetière, Yves-Marie Journal of Fluid Mechanics, Vol. 868 https://doi.org/10.1017/jfm.2019.197	journal	April 2019
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Ratchet flow of thin liquid films induced by a two-frequency tangential forcing Sterman-Cohen, Elad; Bestehorn, Michael; Oron, Alexander Physics of Fluids, Vol. 30, Issue 2 https://doi.org/10.1063/1.5010262	journal	February 2018
The rotating Rayleigh-Taylor instability in a strongly coupled dusty plasma Dolai, Bivash; Prajapati, R. P. Physics of Plasmas, Vol. 25, Issue 8 https://doi.org/10.1063/1.5041088	journal	August 2018
Influence of van der Waals forces on a bubble moving in a tube Hammoud, Naima H.; Trinh, Philippe H.; Howell, Peter D. Physical Review Fluids, Vol. 2, Issue 6 https://doi.org/10.1103/physrevfluids.2.063601	journal	June 2017
Self-organized oscillations of Leidenfrost drops Ma, Xiaolei; Burton, Justin C. arXiv https://doi.org/10.48550/arxiv.1802.06136	text	January 2018
Experimental investigations on the nonequilibrium dynamics of pattern formation in fluid and granular systems Ma, Xiaolei arXiv https://doi.org/10.48550/arxiv.1905.12201	preprint	January 2019

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