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Title: Curvature suppresses the Rayleigh-Taylor instability

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.
Authors:
 [1] ;  [2] ;  [3] ;  [1] ;  [1] ;  [2]
  1. Univ. of Oxford (United Kingdom). Oxford Centre for Industrial and Applied Mathematics, Mathematical Inst.
  2. Princeton Univ., NJ (United States). Dept. of Mechaniclal and Aerospace Engineering
  3. Princeton Univ., NJ (United States). Program in Applied and Computational Mathematics
Publication Date:
Grant/Contract Number:
SC0008598
Type:
Accepted Manuscript
Journal Name:
Physics of Fluids
Additional Journal Information:
Journal Volume: 26; Journal Issue: 5; Journal ID: ISSN 1070-6631
Publisher:
American Institute of Physics (AIP)
Research Org:
Princeton Univ., NJ (United States)
Sponsoring Org:
USDOE Office of Science (SC), Fusion Energy Sciences (FES) (SC-24)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
OSTI Identifier:
1390219

Trinh, Philippe H., Kim, Hyoungsoo, Hammoud, Naima, Howell, Peter D., Chapman, S. Jonathan, and Stone, Howard A.. Curvature suppresses the Rayleigh-Taylor instability. United States: N. p., Web. doi:10.1063/1.4876476.
Trinh, Philippe H., Kim, Hyoungsoo, Hammoud, Naima, Howell, Peter D., Chapman, S. Jonathan, & Stone, Howard A.. Curvature suppresses the Rayleigh-Taylor instability. United States. doi:10.1063/1.4876476.
Trinh, Philippe H., Kim, Hyoungsoo, Hammoud, Naima, Howell, Peter D., Chapman, S. Jonathan, and Stone, Howard A.. 2014. "Curvature suppresses the Rayleigh-Taylor instability". United States. doi:10.1063/1.4876476. https://www.osti.gov/servlets/purl/1390219.
@article{osti_1390219,
title = {Curvature suppresses the Rayleigh-Taylor instability},
author = {Trinh, Philippe H. and Kim, Hyoungsoo and Hammoud, Naima and Howell, Peter D. and Chapman, S. Jonathan and Stone, Howard A.},
abstractNote = {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.},
doi = {10.1063/1.4876476},
journal = {Physics of Fluids},
number = 5,
volume = 26,
place = {United States},
year = {2014},
month = {5}
}