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The flow of a tubular film. Part 1. Formal mathematical representation

Published online by Cambridge University Press:  29 March 2006

J. R. A. Pearson  and
C. J. S. Petrie
J. R. A. Pearson
Affiliation:
Department of Chemical Engineering, University of Cambridge
C. J. S. Petrie
Affiliation:
Department of Chemical Engineering, University of Cambridge Present address: Department of Engineering Mathematics, University of Newcastle upon Tyne.
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Abstract

An expansion scheme is developed to describe the steady axisymmetric flow of a thin tubular liquid film of varying radius; the necessary small parameter is provided by the ratio between the characteristic film thickness and the characteristic tube radius. The co-ordinate system used is an orthogonal one based on the fluid interface and the fluid streamlines. The differential equations that arise thus treat the metric as an unknown set of variables. The method is restricted to situations dominated by viscous forces. Reference is made to numerical solutions that have been obtained in connexion with an industrial polymer-film-blowing process.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 40 , Issue 1 , 14 January 1970 , pp. 1 - 19
Copyright
© 1970 Cambridge University Press

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