Stable production of fluid jets with vanishing diameters via tip streaming

M. Rubio, J. M. Montanero*, Jens G Eggers, Miguel A Herrada

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)peer-review

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Abstract

We study numerically the microjetting mode obtained when a fluid is injected through a tube submerged in a uniaxial extensional flow. The steady solution to the full nonlinear Navier-Stokes equations is calculated. We obtain the linear global modes determining the linear stability of the steady solution. For sufficiently large outer viscosity, the flow remains stable for infinitely small values of the injected flow rate. This implies that jets with vanishing diameters can be produced regardless of the jet viscosity and outer flow strength. For a sufficiently small inner-to-outer viscosity ratio, the microjetting instability is associated only with the flow near the entrance of the jet. The tapering meniscus stretches and adopts a slender quasi-conical shape. Consequently, the cone tip is exposed to an intense outer flow, which stabilizes the flow in the cone-jet transition region. This work presents the first evidence that fluid jets with arbitrarily small diameters can be stably produced via tip streaming. The results are related to those of a droplet in a uniaxial extensional flow with its equator pinned to an infinitely thin ring. The pinning of the equator drastically affects the droplet stability and breakup.
Original languageEnglish
Article numberA4
Number of pages23
JournalJournal of Fluid Mechanics
Volume983
Early online date12 Mar 2024
DOIs
Publication statusPublished - 25 Mar 2024

Bibliographical note

Publisher Copyright:
© The Author(s), 2024. Published by Cambridge University Press.

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