Journal
JOURNAL OF FLUID MECHANICS
Volume 827, Issue -, Pages -Publisher
CAMBRIDGE UNIV PRESS
DOI: 10.1017/jfm.2017.535
Keywords
instability; interfacial flows (free surface)
Categories
Funding
- National Science Foundation (NSF) CAREER award [1054267]
- Natural Sciences and Engineering Research Council of Canada (NSERC) [6186]
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The stability of an accelerating cylindrical blob of a time-varying radius is considered with the goals of understanding the effects of time dependence of the underlying base state on a Rayleigh-Plateau instability as well as of evaluating a contribution due to a lateral acceleration of the blob, treated as a perturbation here. All of the key processes contributing to instability development are dissected, with analytical analyses of the exact incompressible inviscid potential flow formulation. Herein, without invoking the 'frozen' base state assumption, the entire time interval of the evolution of a perturbation is explored, discerning physical mechanisms at each stage of development. It transpires that the stability picture proves to be cardinally different from Rayleigh's standard analysis.
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