Imbibition of concentrated suspensions in capillaries

William Holloway; Jeffrey M. Aristoff; Howard A. Stone

doi:10.1063/1.3619217

Imbibition of concentrated suspensions in capillaries

William Holloway, Jeffrey M. Aristoff, Howard A. Stone

Research output: Contribution to journal › Letter › peer-review

15 Scopus citations

Abstract

We observe the imbibition of concentrated suspensions of rigid spherical particles into capillary tubes. We find that while the meniscus position advances according to the square root of time, the pre-factor of this "diffusive" scaling is smaller than that predicted by an ad-hoc extension of classical imbibition using an effective viscosity for the imbibing fluid. The reduction in the pre-factor is traced to the presence of axial variations in particle volume fraction, which arise as a result of shear-induced migration of particles across streamlines. In addition, we develop a model that accounts for the effect of both radial and axial variations in particle volume fraction on the movement of the imbibition front which partially accounts for the main experimental observations.

Original language	English (US)
Article number	081701
Journal	Physics of Fluids
Volume	23
Issue number	8
DOIs	https://doi.org/10.1063/1.3619217
State	Published - Aug 9 2011

All Science Journal Classification (ASJC) codes

Computational Mechanics
Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering
Fluid Flow and Transfer Processes

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10.1063/1.3619217

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title = "Imbibition of concentrated suspensions in capillaries",

abstract = "We observe the imbibition of concentrated suspensions of rigid spherical particles into capillary tubes. We find that while the meniscus position advances according to the square root of time, the pre-factor of this {"}diffusive{"} scaling is smaller than that predicted by an ad-hoc extension of classical imbibition using an effective viscosity for the imbibing fluid. The reduction in the pre-factor is traced to the presence of axial variations in particle volume fraction, which arise as a result of shear-induced migration of particles across streamlines. In addition, we develop a model that accounts for the effect of both radial and axial variations in particle volume fraction on the movement of the imbibition front which partially accounts for the main experimental observations.",

author = "William Holloway and Aristoff, {Jeffrey M.} and Stone, {Howard A.}",

note = "Funding Information: The authors thank A. Ramachandran and S. Sundaresan for stimulating conversations and an anonymous referee for helpful feedback. J.M.A. acknowledges funding from the NSF-MSPRF program. Copyright: Copyright 2019 Elsevier B.V., All rights reserved.",

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AU - Holloway, William

AU - Aristoff, Jeffrey M.

AU - Stone, Howard A.

N1 - Funding Information: The authors thank A. Ramachandran and S. Sundaresan for stimulating conversations and an anonymous referee for helpful feedback. J.M.A. acknowledges funding from the NSF-MSPRF program. Copyright: Copyright 2019 Elsevier B.V., All rights reserved.

PY - 2011/8/9

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N2 - We observe the imbibition of concentrated suspensions of rigid spherical particles into capillary tubes. We find that while the meniscus position advances according to the square root of time, the pre-factor of this "diffusive" scaling is smaller than that predicted by an ad-hoc extension of classical imbibition using an effective viscosity for the imbibing fluid. The reduction in the pre-factor is traced to the presence of axial variations in particle volume fraction, which arise as a result of shear-induced migration of particles across streamlines. In addition, we develop a model that accounts for the effect of both radial and axial variations in particle volume fraction on the movement of the imbibition front which partially accounts for the main experimental observations.

AB - We observe the imbibition of concentrated suspensions of rigid spherical particles into capillary tubes. We find that while the meniscus position advances according to the square root of time, the pre-factor of this "diffusive" scaling is smaller than that predicted by an ad-hoc extension of classical imbibition using an effective viscosity for the imbibing fluid. The reduction in the pre-factor is traced to the presence of axial variations in particle volume fraction, which arise as a result of shear-induced migration of particles across streamlines. In addition, we develop a model that accounts for the effect of both radial and axial variations in particle volume fraction on the movement of the imbibition front which partially accounts for the main experimental observations.

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JO - Physics of Fluids

JF - Physics of Fluids

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ER -

Imbibition of concentrated suspensions in capillaries

Abstract

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