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Surfactant-driven escape from endpinching during contraction of nearly inviscid filaments

Published online by Cambridge University Press:  24 July 2020

Pritish M. Kamat ,
Brayden W. Wagoner ,
Alfonso A. Castrejón-Pita Open the ORCID record for Alfonso A. Castrejón-Pita [Opens in a new window] ,
José R. Castrejón-Pita Open the ORCID record for José R. Castrejón-Pita [Opens in a new window] ,
Christopher R. Anthony  and
Osman A. Basaran Open the ORCID record for Osman A. Basaran [Opens in a new window]
Pritish M. Kamat
Affiliation:
Davidson School of Chemical Engineering, Purdue University, West Lafayette, IN47907, USA
Brayden W. Wagoner
Affiliation:
Davidson School of Chemical Engineering, Purdue University, West Lafayette, IN47907, USA
Alfonso A. Castrejón-Pita
Affiliation:
Department of Engineering Science, University of Oxford, Parks Road, OxfordOX1 3PJ, UK
José R. Castrejón-Pita
Affiliation:
School of Engineering and Material Science, Queen Mary University of London, Mile End Road, LondonE1 4NS, UK
Christopher R. Anthony
Affiliation:
Davidson School of Chemical Engineering, Purdue University, West Lafayette, IN47907, USA
Osman A. Basaran*
Affiliation:
Davidson School of Chemical Engineering, Purdue University, West Lafayette, IN47907, USA
*
†Email address for correspondence: obasaran@purdue.edu
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Abstract

Highly stretched liquid drops, or filaments, surrounded by a gas are routinely encountered in nature and industry. Such filaments can exhibit complex and unexpected dynamics as they contract under the action of surface tension. Instead of simply retracting to a sphere of the same volume, low-viscosity filaments exceeding a critical aspect ratio undergo localized pinch-off at their two ends resulting in a sequence of daughter droplets – a phenomenon called endpinching – which is an archetype breakup mode that is distinct from the classical Rayleigh–Plateau instability seen in jet breakup. It has been shown that endpinching can be precluded in filaments of intermediate viscosity, with the so-called escape from endpinching being understood heretofore only qualitatively as being caused by a viscous mechanism. Here, we show that a similar escape can also occur in nearly inviscid filaments when surfactants are present at the free surface of a recoiling filament. The fluid dynamics of the escape phenomenon is probed by numerical simulations. The computational results are used to show that the escape is driven by the action of Marangoni stress. Despite the apparently distinct physical origins of escape in moderately viscous surfactant-free filaments and that in nearly inviscid but surfactant-covered filaments, it is demonstrated that the genesis of all escape events can be attributed to a single cause – the generation of vorticity at curved interfaces. By analysing vorticity dynamics and the balance of vorticity in recoiling filaments, the manner in which surface tension gradients and concomitant Marangoni stresses can lead to escape from endpinching is clarified.

JFM classification

Drops and Bubbles: Drops Drops and Bubbles: Breakup/coalescence
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 899 , 25 September 2020 , A28
Copyright
© The Author(s), 2020. Published by Cambridge University Press

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Footnotes

‡

Present address: Dow, Inc., Lake Jackson, TX 77566, USA.

§

Present address: Convergent Science, Inc., Madison, WI 53719, USA.

References

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