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Stability of slender liquid bridges subjected to axial flows

Published online by Cambridge University Press:  10 January 1997

BRIAN J. LOWRY  and
PAUL H. STEEN
BRIAN J. LOWRY
Affiliation:
School of Chemical Engineering and Center for Applied Mathematics, Cornell University, Ithaca, NY 14853-5204, USA
PAUL H. STEEN
Affiliation:
School of Chemical Engineering and Center for Applied Mathematics, Cornell University, Ithaca, NY 14853-5204, USA
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Abstract

Experiments document the influence of flow on the Plateau–Rayleigh (PR) instability of a near-cylindrical liquid bridge. The slightly heavy bridge is subjected to a surrounding pipe flow from bottom to top. Linear and nonlinear regimes of response are reported. Islands of stability in flow rate are observed; that is, there are bridges that are stable with flow but otherwise not. Density imbalance and flow each, on its own, is destabilizing but together they are stabilizing as recorded by a variety of measures. This nonlinear stabilization is explained in terms of the codimension-2 nature of the pitchfork bifurcation of the ‘perfect’ Plateau–Rayleigh instability.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 330 , 10 January 1997 , pp. 189 - 213
Copyright
© 1997 Cambridge University Press

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