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Curvature suppresses the Rayleigh-Taylor instability

Abstract:
The dynamics of a thin liquid film on the underside of a curved cylindrical substrate is studied. 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. Experiments and linear stability theory confirm that below a critical value of the Bond number curvature of the substrate suppresses the Rayleigh-Taylor instability. © 2014 AIP Publishing LLC.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1063/1.4876476

Authors


More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author


Publisher:
American Institute of Physics
Journal:
Physics of Fluids More from this journal
Volume:
26
Issue:
5
Pages:
051704-051704
Publication date:
2014-05-01
DOI:
EISSN:
1089-7666
ISSN:
1070-6631


Keywords:
Pubs id:
pubs:472314
UUID:
uuid:9f148ed0-cbac-4dac-9291-8ebf1a85ee60
Local pid:
pubs:472314
Source identifiers:
472314
Deposit date:
2015-10-26

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