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The flow of a tubular film Part 2. Interpretation of the model and discussion of solutions

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

The equations governing the free-surface flow of a tubular film of liquid are derived from physical arguments, which throw some light on the formal process described in part 1. The solutions of the equations are discussed, in particular with reference to the film-blowing process for the manufacture of thin sheets of thermoplastic material. The qualitative adequacy of a model based on the dominance of viscous forces is demonstrated, and the effect of surface tension, air drag and non-isothermal flow is discussed briefly.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 42 , Issue 3 , 9 July 1970 , pp. 609 - 625
Copyright
© 1970 Cambridge University Press

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References

Novozhilov, V. V. 1959 The Theory of Thin Shells. Groningen: Noordhoff.
Pearson, J. R. A. 1966 Mechanical Principles of Polymer Melt Processing. Oxford: Pergamon.
Pearson, J. R. A. & Petrie, C. J. S. 1970a J. Fluid Mech. 40, 1.
Pearson, J. R. A. & Petrie, C. J. S. 1970b Plastics & Polymers, 38, 85.
Sansone, G. & Conti, R. 1964 Non-linear Differential Equations. Oxford: Pergamon.
Taylor, G. I. 1959 Proc. Roy. Soc. A 253, 289–295.