Skip to main content Accessibility help

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

  • J. R. A. Pearson (a1) and C. J. S. Petrie (a1) (a2)


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.



Hide All
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, 289295.
MathJax is a JavaScript display engine for mathematics. For more information see


Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed