Temperature effects in the blown Newtonian film.

The film blowing process, by which thin polymer films are manufactured, is modelled by highly nonlinear differential equations. Typically, analysis of these using numerical techniques leads to instabilities. Our earlier work used an iteration process to construct the film bubble profile and some associated quantities for the simplest case of a Newtonian film incorporating an axial temperature variation. Now we extend this to an investigation of the effects of variations in temperature parameters on the film radius, film fluid velocity, film thickness and overall temperature profiles. This information is of considerable use to investigators examining the film blowing process. References Shepherd J. J. and Bennett J. C., Interior layer structure in the Newtonian blown film, ANZIAM Journal 46(E), 2005, pp. C839-C853. http://anziamj.austms.org.au/V46/CTAC2004/Shep/ J. J. Shepherd, H. J. Connell and D. C. H. Tam, 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. Bennett J. C. and Shepherd J. J., Analysis of the non-isothermal Newtonian model in the blown film process, ANZIAM Journal 47(E), 2006, pp. C325--C338. http://anziamj.austms.org.au/V47EMAC2005/Bennett/ X.-L. Luo, R. I. Tanner, A computer study of film blowing, Polymer Engineering and Science, Volume 25, Number 10, 1985, pp. 620--629. J. R. A. Pearson, Mechanics of Polymer Processing, Elsevier Applied Science Publishers, 1985. J. R. A. Pearson and C. J. S. Petrie, The flow of a tubular film. Part 2. Interpretation of the model and discussion of solutions, Journal of Fluid Mechanics, Volume 42, Part 3, 1970, pp. 609--625