Abstract

We investigate numerically the contraction dynamics of a long air filament surrounded by liquid for a range of Ohnesorge numbers Oh. The contraction velocity rises to a maximum value Umax and then decreases due to the hydrodynamic drag force from the liquid medium. Umax follows a capillary-inertial scaling for low Oh while it shifts to a capillary-viscous scaling with increasing Oh. Our simulations reveal that contracting air filaments always first rupture via end-pinching mechanism before the Rayleigh–Plateau instability can develop.

Highlights

  • Taylor[52] and Culick[53] independently studied the retraction dynamics of a planar liquid sheet within a passive medium and showed that its retraction velocipty ffiffirffiffieffiaffifficffiffihffiffiffieffis a steady value, namely, the Taylor–Culick velocity UTsC 1⁄4 2r=qle, with r the surface tension, ql the liquid density, and e the thickness of the sheet

  • We investigate numerically the contraction dynamics of a long air filament surrounded by liquid for a range of Ohnesorge numbers Oh

  • The contraction velocity rises to a maximum value Umax and decreases due to the hydrodynamic drag force from the liquid medium

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Summary

Air filament contraction

Cite as: Phys. Fluids 33, 051702 (2021); https://doi.org/10.1063/5.0048732 Submitted: 25 February 2021 • Accepted: 25 March 2021 • Published Online: 03 May 2021 ARTICLES YOU MAY BE INTERESTED IN Maximum spreading of an impacting air-in-liquid compound drop Physics of Fluids 33, 061703 (2021); https://doi.org/10.1063/5.0053384 Revisiting -law for the evaporation of dilute droplets Physics of Fluids 33, 051701 (2021); https://doi.org/10.1063/5.0051078 Impact of an air-in-liquid compound drop onto a liquid surface Physics of Fluids 32, 041705 (2020); https://doi.org/10.1063/5.0005702

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