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Motion driven by surface-tension gradients in a tube lining

Published online by Cambridge University Press:  29 March 2006

Stephen H. Davis ,
An-Kuo Liu  and
George R. Sealy
Stephen H. Davis
Affiliation:
Department of Mechanics and Materials Science, The Johns Hopkins University
An-Kuo Liu
Affiliation:
Department of Mechanics and Materials Science, The Johns Hopkins University
George R. Sealy
Affiliation:
Department of Mechanics and Materials Science, The Johns Hopkins University
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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.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 62 , Issue 4 , 27 February 1974 , pp. 737 - 751
Copyright
© 1974 Cambridge University Press

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