Drainage, rebound and oscillation of a meniscus in a tube

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Drainage, rebound and oscillation of a meniscus in a tube. / Marston, Jeremy; Toyofuku, Garrett; Li, Chao; Truscott, Tadd; Uddin, Jamal.

In: Physics of Fluids, Vol. 30, No. 8, 082103, 06.08.2018.

Research output: Contribution to journalArticlepeer-review

Harvard

Marston, J, Toyofuku, G, Li, C, Truscott, T & Uddin, J 2018, 'Drainage, rebound and oscillation of a meniscus in a tube', Physics of Fluids, vol. 30, no. 8, 082103. https://doi.org/10.1063/1.5038662

APA

Vancouver

Author

Marston, Jeremy ; Toyofuku, Garrett ; Li, Chao ; Truscott, Tadd ; Uddin, Jamal. / Drainage, rebound and oscillation of a meniscus in a tube. In: Physics of Fluids. 2018 ; Vol. 30, No. 8.

Bibtex

@article{e99ef1a85fce4f24ada32de1d039f2b6,
title = "Drainage, rebound and oscillation of a meniscus in a tube",
abstract = "In this paper, the drainage and subsequent rebound of a liquid column in a cylindrical tube is examined experimentally and theoretically. When liquid is drawn up into a capillary and then released under gravity, inertia allows the meniscus to overshoot the equilibrium capillary rise height. The meniscus then rebounds up the tube, again overshooting the equilibrium height and undergoes oscillation. By varying both the immersion depth and radius of the tube, one can observe rich dynamical behavior, with the most dramatic being the formation of a fast liquid jet, barely visible to the naked eye but easily captured with high-speed video. In addition to the flow separation caused by the sudden expansion at the end of the tube, this jet serves as a mechanism of energy dissipation. Some qualitative differences between the works of Quere et al. [{"}Rebounds in a capillary tube,{"} Langmuir 15, 3679-3682 (1999)] and Lorenceau et al. [{"}Gravitational oscillations of a liquid column in a pipe,{"} Phys. Fluids 14(6), 1985-1992 (2002)] and the present experiment are observed and discussed. A critical condition for oscillatory behavior is derived theoretically and matches well with the experimental observation. Once in the oscillatory regime, both the maximum depth below and the maximum rebound height above the equilibrium level are investigated by performing a systematic sweep through the relevant parameter space, incorporating the initial meniscus height, immersion depth, tube radius, and fluid properties. Lastly, the characteristic period of oscillation, tp, is assessed and found to be largely independent of fluid viscosity, and could be reasonably well-collapsed by a single curve whereby tp∼hi, where hi is the tube immersion depth.",
author = "Jeremy Marston and Garrett Toyofuku and Chao Li and Tadd Truscott and Jamal Uddin",
year = "2018",
month = aug,
day = "6",
doi = "10.1063/1.5038662",
language = "English",
volume = "30",
journal = "Physics of Fluids",
issn = "1070-6631",
publisher = "American Institute of Physics",
number = "8",

}

RIS

TY - JOUR

T1 - Drainage, rebound and oscillation of a meniscus in a tube

AU - Marston, Jeremy

AU - Toyofuku, Garrett

AU - Li, Chao

AU - Truscott, Tadd

AU - Uddin, Jamal

PY - 2018/8/6

Y1 - 2018/8/6

N2 - In this paper, the drainage and subsequent rebound of a liquid column in a cylindrical tube is examined experimentally and theoretically. When liquid is drawn up into a capillary and then released under gravity, inertia allows the meniscus to overshoot the equilibrium capillary rise height. The meniscus then rebounds up the tube, again overshooting the equilibrium height and undergoes oscillation. By varying both the immersion depth and radius of the tube, one can observe rich dynamical behavior, with the most dramatic being the formation of a fast liquid jet, barely visible to the naked eye but easily captured with high-speed video. In addition to the flow separation caused by the sudden expansion at the end of the tube, this jet serves as a mechanism of energy dissipation. Some qualitative differences between the works of Quere et al. ["Rebounds in a capillary tube," Langmuir 15, 3679-3682 (1999)] and Lorenceau et al. ["Gravitational oscillations of a liquid column in a pipe," Phys. Fluids 14(6), 1985-1992 (2002)] and the present experiment are observed and discussed. A critical condition for oscillatory behavior is derived theoretically and matches well with the experimental observation. Once in the oscillatory regime, both the maximum depth below and the maximum rebound height above the equilibrium level are investigated by performing a systematic sweep through the relevant parameter space, incorporating the initial meniscus height, immersion depth, tube radius, and fluid properties. Lastly, the characteristic period of oscillation, tp, is assessed and found to be largely independent of fluid viscosity, and could be reasonably well-collapsed by a single curve whereby tp∼hi, where hi is the tube immersion depth.

AB - In this paper, the drainage and subsequent rebound of a liquid column in a cylindrical tube is examined experimentally and theoretically. When liquid is drawn up into a capillary and then released under gravity, inertia allows the meniscus to overshoot the equilibrium capillary rise height. The meniscus then rebounds up the tube, again overshooting the equilibrium height and undergoes oscillation. By varying both the immersion depth and radius of the tube, one can observe rich dynamical behavior, with the most dramatic being the formation of a fast liquid jet, barely visible to the naked eye but easily captured with high-speed video. In addition to the flow separation caused by the sudden expansion at the end of the tube, this jet serves as a mechanism of energy dissipation. Some qualitative differences between the works of Quere et al. ["Rebounds in a capillary tube," Langmuir 15, 3679-3682 (1999)] and Lorenceau et al. ["Gravitational oscillations of a liquid column in a pipe," Phys. Fluids 14(6), 1985-1992 (2002)] and the present experiment are observed and discussed. A critical condition for oscillatory behavior is derived theoretically and matches well with the experimental observation. Once in the oscillatory regime, both the maximum depth below and the maximum rebound height above the equilibrium level are investigated by performing a systematic sweep through the relevant parameter space, incorporating the initial meniscus height, immersion depth, tube radius, and fluid properties. Lastly, the characteristic period of oscillation, tp, is assessed and found to be largely independent of fluid viscosity, and could be reasonably well-collapsed by a single curve whereby tp∼hi, where hi is the tube immersion depth.

UR - http://www.scopus.com/inward/record.url?scp=85051233907&partnerID=8YFLogxK

U2 - 10.1063/1.5038662

DO - 10.1063/1.5038662

M3 - Article

AN - SCOPUS:85051233907

VL - 30

JO - Physics of Fluids

JF - Physics of Fluids

SN - 1070-6631

IS - 8

M1 - 082103

ER -