Benilov_2016_stability.pdf (192.7 kB)
Stability of thin liquid curtains
journal contribution
posted on 2017-11-18, 14:07 authored by Eugene BenilovEugene Benilov, Ricardo Barros, Stephen B.G. O'BrienWe 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.
History
Publication
Physical Review E;94, 043110Publisher
American Physical SocietyNote
peer-reviewedOther Funding information
SFIRights
© American Physical SocietyLanguage
EnglishExternal identifier
Usage metrics
Categories
No categories selectedKeywords
Licence
Exports
RefWorks
BibTeX
Ref. manager
Endnote
DataCite
NLM
DC