Interior layer structure in the Newtonian blown film

J. J. Shepherd, J. C. Bennett

Abstract


The techniques and methodology of singular perturbation theory analyse the film blowing of an incompressible Newtonian film. An appropriate, physically relevant small parameter guides the method of matched asymptotic expansions to obtain straightforward closed form approximate expression for the film profile throughout the blown region. This then determines such related quantities as the film thickness variation, and the film speed. The results of applying this closed form expression are compared with numerical calculations using the package Maple. The two methods show encouraging consistency.

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DOI: http://dx.doi.org/10.21914/anziamj.v46i0.993



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ANZIAM Journal, ISSN 1446-8735, copyright Australian Mathematical Society.