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Title: Stability of thin liquid curtains
Authors: Benilov, E.S.
Barros, Ricardo
O'Brien, S.B.G.
Issue Date: 2016
Publisher: © American Physical Society
Citation: BENILOV, E.S., BARROS, R. and O'BRIEN, S.B.G., 2016. Stability of thin liquid curtains. Physical Review E, 94 (4), 043110.
Abstract: We investigate the stability of thin liquid curtains with respect to two-dimensional perturbations. The dynamics of perturbations with wavelengths exceeding (or comparable to) the curtain's thickness are examined using the lubrication approximation (or a kind of geometric optics). It is shown that, contrary to the previous theoretical results, but in agreement with the experimental ones, all curtains are stable with respect to small perturbations. Large perturbations can still be unstable, however, but only if they propagate upstream and, thus, disrupt the curtain at its outlet. This circumstance enables us to obtain an effective stability criterion by deriving an existence condition for upstream propagating perturbations.
Description: This paper was published in the journal Physical Review E and the definitive published version is available at https://doi.org/10.1103/PhysRevE.94.043110.
Sponsor: The authors acknowledge support from the Science Foundation Ireland under Grants No. 11/RFP.1/MTH3281 and No. 12/IA/1683.
Version: Accepted for publication
DOI: 10.1103/PhysRevE.94.043110
URI: https://dspace.lboro.ac.uk/2134/35231
Publisher Link: https://doi.org/10.1103/PhysRevE.94.043110
ISSN: 2470-0045
Appears in Collections:Published Articles (Maths)

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