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ANZIAM J. 47(EMAC2005) pp.C325--C338, 2006.

Analysis of the non-isothermal Newtonian model in the blown film process

J. C. Bennett

J. J. Shepherd

(Received 11 December 2005; revised 21 August 2006)

Abstract

Film blowing is an industrial process used to produce thin sheets of polymer with a wide range of applications; for example, plastic bags. We apply analytic and numerical techniques to model this process in the simplest case where the blown material is a Newtonian fluid operating under non-isothermal conditions. In particular, we obtain the thermal profile along the film, and the effects of this thermal variation on the film bubble radius.

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Authors

J. C. Bennett

School of Mathematical and Geospatial Sciences, Royal Melbourne Institute of Technology, Melbourne, Australia. mailto:E58144@ems.rmit.edu.au

J. J. Shepherd

School of Mathematical and Geospatial Sciences, Royal Melbourne Institute of Technology, Melbourne, Australia. mailto:jshep@rmit.edu.au

Published October 2, 2006. ISSN 1446-8735

References

1. Bennett, J. C., Interior Layer Structure in the Blown Newtonian Film, Honours Thesis, School of Mathematical and Geospatial Sciences, RMIT University, 2004.
2. Cain, J. J. and Denn, M. M., Multiplicities and instabilities in film blowing, Polymer Engineering and Science, 28, 1988, pp.1527--1541.
3. Ervin, V. J., Non-uniqueness of the Newtonian film blowing model, in preparation.
4. Muke, S., Connell, H., Sbarski, I. and Bhattacharya, S. N., Numerical modelling and experimental verification of blown film processing, Journal of Non-Newtonian Fluid Mechanics, 116, 2003, pp.113--138. http://dx.doi.org/10.1016/j.jnnfm.2003.09.002
5. Shepherd, J. J. and Bennett, J. C., Interior layer structure in the Newtonian blown film, ANZIAM Journal 46(E), 2005, pp.C101--C116. http://anziamj.austms.org.au/V46/CTAC2004/Shep/
6. Shepherd, J. J.,Connell, H. J. and Tam, D. C. H., An interior layer in a film-blowing problem, Proceedings of the Fifth Biennial Engineering Mathematics and Applications Conference (EMAC2002), M. Pemberton, I. Turner, P. Jacobs (eds), The Institution of Engineers Australia, Brisbane, Queensland (2002), pp.181--186.
7. Tam, D. C. H., Shepherd, J. J. and Connell, H. J., Modelling the film blowing process, Proceedings of the Fourth Biennial Engineering Mathematics and Applications Conference (EMAC2000), R. L. May, G. F. Fitz-Gerald, I. H. Grundy (eds), The Institution of Engineers Australia, Melbourne (2000), pp 271--274.