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Stability of a growing cylindrical blob

Published online by Cambridge University Press:  18 August 2017

R. Krechetnikov Open the ORCID record for R. Krechetnikov [Opens in a new window]
R. Krechetnikov*
Affiliation:
Mathematical and Statistical Sciences, University of Alberta, Edmonton, AB, T6G 2G1, Canada
*
†Email address for correspondence: [email protected]
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Abstract

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.

JFM classification

Instability: Instability Interfacial Flows (free surface): Interfacial Flows (free surface)
Type
Rapids
Information
Journal of Fluid Mechanics , Volume 827 , 25 September 2017 , R3
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Copyright
© 2017 Cambridge University Press 

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