The motion of a falling liquid filament

Diane Marie Henderson, Harvey Segur, Linda B. Smolka, Miki Wadati

Research output: Contribution to journalArticle

35 Citations (Scopus)

Abstract

When a liquid drop falls from a fluid source with a slow flow rate, it remains attached to the source by an elongating liquid filament until the filament pinches off. For many fluids, this pinch-off occurs first near the end of the filament, where the filament joins to the liquid drop. For other fluids, the filament pinches off at one or more interior points. In this paper, we study the motion of this filament, and we make two points. First, the flow in this filament is not that of a uniform jet. Instead, we show experimentally that a different solution of the Navier-Stokes equations describes the motion of this filament before it pinches off. Second, we propose a criterion for the location of the first pinch-off. In particular, we analyze the linearized stability of the exact solution, both for an inviscid fluid and for a very viscous fluid. Our criterion for pinch-off is based on this stability analysis. It correctly predicts whether a given filament pinches off first near its ends or at points within its interior for all of our experimental data.

Original languageEnglish (US)
Pages (from-to)550-565
Number of pages16
JournalPhysics of Fluids
Volume12
Issue number3
DOIs
StatePublished - Jan 1 2000

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falling
filaments
liquids
fluids
viscous fluids
Navier-Stokes equation
flow velocity

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics

Cite this

Henderson, Diane Marie ; Segur, Harvey ; Smolka, Linda B. ; Wadati, Miki. / The motion of a falling liquid filament. In: Physics of Fluids. 2000 ; Vol. 12, No. 3. pp. 550-565.
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Henderson, DM, Segur, H, Smolka, LB & Wadati, M 2000, 'The motion of a falling liquid filament', Physics of Fluids, vol. 12, no. 3, pp. 550-565. https://doi.org/10.1063/1.870261

The motion of a falling liquid filament. / Henderson, Diane Marie; Segur, Harvey; Smolka, Linda B.; Wadati, Miki.

In: Physics of Fluids, Vol. 12, No. 3, 01.01.2000, p. 550-565.

Research output: Contribution to journalArticle

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