Stability of a viscous pinching thread

Jens Eggers

doi:10.1063/1.4732545

Stability of a viscous pinching thread

Jens Eggers^*

^*Corresponding author for this work

Research output: Contribution to journal › Article (Academic Journal) › peer-review

16 Citations (Scopus)

Abstract

We consider the dynamics of a fluid thread near pinch-off, in the limit that inertial effects can be neglected. There exists an infinite hierarchy of similarity solutions corresponding to pinch-off. Only one of the similarity solutions (the "ground state") is stable, all other solutions are linearly unstable to perturbationsthus cannot be observed. Eigenvalues and eigenfunctions are calculated analytically.

Original language	English
Article number	072103
Journal	Physics of Fluids
Volume	24
Issue number	7
DOIs	https://doi.org/10.1063/1.4732545
Publication status	Published - 10 Jul 2012

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AB - We consider the dynamics of a fluid thread near pinch-off, in the limit that inertial effects can be neglected. There exists an infinite hierarchy of similarity solutions corresponding to pinch-off. Only one of the similarity solutions (the "ground state") is stable, all other solutions are linearly unstable to perturbationsthus cannot be observed. Eigenvalues and eigenfunctions are calculated analytically.

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DO - 10.1063/1.4732545

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Stability of a viscous pinching thread

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