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Nonlinear adjustment of a thin annular film of viscous fluid surrounding a thread of another within a circular cylindrical pipe

Published online by Cambridge University Press:  20 April 2006

P. S. Hammond
P. S. Hammond
Affiliation:
Schlumberger-Doll Research, P.O. Box 307, Ridgefield, Connecticut 06877, U.S.A. Present address: Schlumberger Cambridge Research, P.O. Box 153, Cambridge CB2 3BE, England.
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Abstract

A nonlinear analysis, based on lubrication theory, is presented for the adjustment under surface tension of an initially uniform annular film of viscous fluid confined within a circular cylindrical pipe. The film surrounds a thread of another viscous fluid. Small axisymmetric interfacial disturbances of sufficiently long wavelength are found to grow, leading to the break-up of the initially continuous outer film into a number of isolated rings of fixed length on the pipe wall. The implications for the rupture of fluid threads surrounded by moderately thin films in confined geometries are discussed.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 137 , December 1983 , pp. 363 - 384
Copyright
© 1983 Cambridge University Press

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