Motion driven by surface-tension gradients in a tube lining

Stephen H. Davis; an Kuo Liu; George R. Sealy

doi:10.1017/S0022112074000917

Motion driven by surface-tension gradients in a tube lining

Stephen H. Davis, an Kuo Liu, George R. Sealy

Engineering Sciences and Applied Mathematics

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

15 Scopus citations

Abstract

A fluid layer that lines the inner surface of a circular tube has motion induced by axial surface-tension gradients. The lubrication equations for the system are analysed and it is found that even for thin layers the motions differ markedly from those in planar layers. The planar case serves as a class of outer solutions. These approximate solutions are modified by a boundary-layer correction where the mean surface tension is important.

Original language	English (US)
Pages (from-to)	737-751
Number of pages	15
Journal	Journal of fluid Mechanics
Volume	62
Issue number	4
DOIs	https://doi.org/10.1017/S0022112074000917
State	Published - Feb 1974

ASJC Scopus subject areas

Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering
Applied Mathematics

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10.1017/S0022112074000917

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title = "Motion driven by surface-tension gradients in a tube lining",

abstract = "A fluid layer that lines the inner surface of a circular tube has motion induced by axial surface-tension gradients. The lubrication equations for the system are analysed and it is found that even for thin layers the motions differ markedly from those in planar layers. The planar case serves as a class of outer solutions. These approximate solutions are modified by a boundary-layer correction where the mean surface tension is important.",

author = "Davis, {Stephen H.} and Liu, {an Kuo} and Sealy, {George R.}",

year = "1974",

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doi = "10.1017/S0022112074000917",

language = "English (US)",

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publisher = "Cambridge University Press",

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AU - Liu, an Kuo

AU - Sealy, George R.

PY - 1974/2

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N2 - A fluid layer that lines the inner surface of a circular tube has motion induced by axial surface-tension gradients. The lubrication equations for the system are analysed and it is found that even for thin layers the motions differ markedly from those in planar layers. The planar case serves as a class of outer solutions. These approximate solutions are modified by a boundary-layer correction where the mean surface tension is important.

AB - A fluid layer that lines the inner surface of a circular tube has motion induced by axial surface-tension gradients. The lubrication equations for the system are analysed and it is found that even for thin layers the motions differ markedly from those in planar layers. The planar case serves as a class of outer solutions. These approximate solutions are modified by a boundary-layer correction where the mean surface tension is important.

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DO - 10.1017/S0022112074000917

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EP - 751

JO - Journal of fluid Mechanics

JF - Journal of fluid Mechanics

IS - 4

ER -

Motion driven by surface-tension gradients in a tube lining

Abstract

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