The influence of the gas phase on liquid imbibition in capillary tubes

Marcus Nils Hultmark; Jeffrey M. Aristoff; Howard A. Stone

doi:10.1017/jfm.2011.160

The influence of the gas phase on liquid imbibition in capillary tubes

Marcus Nils Hultmark, Jeffrey M. Aristoff, Howard A. Stone

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Abstract

The imbibition of liquid into a capillary tube is studied both theoretically and experimentally for sufficiently long tubes where viscous resistance from the gas phase ahead of the moving front is significant. At early times, and as the length of the tube is increased, we observe a systematic deviation from classical theory that cannot be attributed to the inertia of the liquid nor entrance effects. Instead, this behaviour is rationalized by considering the viscous resistance from the gas as it is displaced by the liquid. An explicit analytical solution for a one-dimensional description of the flow is given that accounts for viscous resistance from the displaced fluid. Excellent agreement between experiment and theory is obtained.

Original language	English (US)
Pages (from-to)	600-606
Number of pages	7
Journal	Journal of Fluid Mechanics
Volume	678
DOIs	https://doi.org/10.1017/jfm.2011.160
State	Published - Jul 10 2011

All Science Journal Classification (ASJC) codes

Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering
Applied Mathematics

Keywords

Capillary flows

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10.1017/jfm.2011.160

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abstract = "The imbibition of liquid into a capillary tube is studied both theoretically and experimentally for sufficiently long tubes where viscous resistance from the gas phase ahead of the moving front is significant. At early times, and as the length of the tube is increased, we observe a systematic deviation from classical theory that cannot be attributed to the inertia of the liquid nor entrance effects. Instead, this behaviour is rationalized by considering the viscous resistance from the gas as it is displaced by the liquid. An explicit analytical solution for a one-dimensional description of the flow is given that accounts for viscous resistance from the displaced fluid. Excellent agreement between experiment and theory is obtained.",

keywords = "Capillary flows",

author = "Hultmark, {Marcus Nils} and Aristoff, {Jeffrey M.} and Stone, {Howard A.}",

note = "Funding Information: M.H. gratefully acknowledges financial support from the Britt and Eli Harari Fellowship Program, J.M.A. acknowledges the NSF Mathematical Sciences Postdoctoral Research Fellowship Program and H.A.S. acknowledges NSF grant NSF-CBET-0961081. The authors thank A. J. Smits for helpful conversations.",

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AU - Hultmark, Marcus Nils

AU - Aristoff, Jeffrey M.

AU - Stone, Howard A.

N1 - Funding Information: M.H. gratefully acknowledges financial support from the Britt and Eli Harari Fellowship Program, J.M.A. acknowledges the NSF Mathematical Sciences Postdoctoral Research Fellowship Program and H.A.S. acknowledges NSF grant NSF-CBET-0961081. The authors thank A. J. Smits for helpful conversations.

PY - 2011/7/10

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The influence of the gas phase on liquid imbibition in capillary tubes

Abstract

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