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Title: Restoring universality to the pinch-off of a bubble

Abstract

The pinch-off of a bubble is an example of the formation of a singularity, exhibiting a characteristic separation of length and time scales. Because of this scale separation, one expects universal dynamics that collapse into self-similar behavior determined by the relative importance of viscous, inertial, and capillary forces. Surprisingly, however, the pinch-off of a bubble in a large tank of viscous liquid is known to be nonuniversal. In this work, we show that the pinch-off dynamics of a bubble confined in a capillary tube undergo a sequence of two distinct self-similar regimes, even though the entire evolution is controlled by a balance between viscous and capillary forces. We demonstrate that the early-time self-similar regime restores universality to bubble pinch-off by erasing the system’s memory of the initial conditions. Our findings have important implications for bubble/drop generation in microfluidic devices, with applications in inkjet printing, medical imaging, and synthesis of particulate materials.

Authors:
 [1];  [2]; ORCiD logo [3]; ORCiD logo [3]
  1. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); Princeton Univ., NJ (United States)
  2. Princeton Univ., NJ (United States)
  3. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Publication Date:
Research Org.:
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1526769
Alternate Identifier(s):
OSTI ID: 1612958
Grant/Contract Number:  
SC0018357
Resource Type:
Published Article
Journal Name:
Proceedings of the National Academy of Sciences of the United States of America
Additional Journal Information:
Journal Volume: 116; Journal Issue: 28; Journal ID: ISSN 0027-8424
Publisher:
National Academy of Sciences
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; science & technology - other topics; bubble pinch-off; finite-time singularity formation; universality; moving contact lines

Citation Formats

Pahlavan, Amir A., Stone, Howard A., McKinley, Gareth H., and Juanes, Ruben. Restoring universality to the pinch-off of a bubble. United States: N. p., 2019. Web. doi:10.1073/pnas.1819744116.
Pahlavan, Amir A., Stone, Howard A., McKinley, Gareth H., & Juanes, Ruben. Restoring universality to the pinch-off of a bubble. United States. https://doi.org/10.1073/pnas.1819744116
Pahlavan, Amir A., Stone, Howard A., McKinley, Gareth H., and Juanes, Ruben. Mon . "Restoring universality to the pinch-off of a bubble". United States. https://doi.org/10.1073/pnas.1819744116.
@article{osti_1526769,
title = {Restoring universality to the pinch-off of a bubble},
author = {Pahlavan, Amir A. and Stone, Howard A. and McKinley, Gareth H. and Juanes, Ruben},
abstractNote = {The pinch-off of a bubble is an example of the formation of a singularity, exhibiting a characteristic separation of length and time scales. Because of this scale separation, one expects universal dynamics that collapse into self-similar behavior determined by the relative importance of viscous, inertial, and capillary forces. Surprisingly, however, the pinch-off of a bubble in a large tank of viscous liquid is known to be nonuniversal. In this work, we show that the pinch-off dynamics of a bubble confined in a capillary tube undergo a sequence of two distinct self-similar regimes, even though the entire evolution is controlled by a balance between viscous and capillary forces. We demonstrate that the early-time self-similar regime restores universality to bubble pinch-off by erasing the system’s memory of the initial conditions. Our findings have important implications for bubble/drop generation in microfluidic devices, with applications in inkjet printing, medical imaging, and synthesis of particulate materials.},
doi = {10.1073/pnas.1819744116},
journal = {Proceedings of the National Academy of Sciences of the United States of America},
number = 28,
volume = 116,
place = {United States},
year = {2019},
month = {6}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1073/pnas.1819744116

Citation Metrics:
Cited by: 14 works
Citation information provided by
Web of Science

Figures / Tables:

Fig. 1 Fig. 1: Displacement of a partially wetting liquid from a microcapillary tube. As the glycerol (white) is withdrawn from the right end of the tube with a constant flow rate Q, air (black) invades the tube from the left end at atmospheric pressure and entrains a thin film of themore » glycerol on the tube walls (the white stripe in the middle of the tube is due to light refraction; SI Appendix, section 1). The entrained liquid film then starts receding along the tube axis with a velocity Ucl, forming a growing dewetting rim ahead of the contact line, where the liquid, solid, and air meet at a nonzero apparent contact angle θap. As the liquid rim grows, the bubble neck diameter shrinks and ultimately leads to pinch-off and the formation of a bubble.« less

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Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.