Abstract
A model of the tubular film process is presented which includes power law non-linear rheological behaviour with temperature and crystallinity dependent properties. The heat transfer modelling uses an experimental correlation for the heat transfer coefficient. It is shown that except at low activation energies of viscous flow, the power law exponents have little influence on bubble shape. For activation energies of viscous flow of 11 kcal/mol and more, the temperature dependence of rheological properties dominates bubble shapes at fixed drawdown ratios, blowup ratios and frostline heights. Low activation energies of viscous flow produced wine glass shaped bubbles, while high activation energies cause rapid increases in bubble radius after the die exit.
Acknowledgements
The research described here was supported in part by the National Science Foundation Division of Engineering.
References
1 Pearson, J. R. A., Petrie, C. J. S.: J. Fluid Mech. 40, p. 1 (1970)10.1017/S0022112070000010Search in Google Scholar
2 Pearson, J. R. A., Petrie, C. J. S.: J. Fluid Meeh. 42, p. 609 (1970)10.1017/S0022112070001507Search in Google Scholar
3 Pearson, J. R. A., Petrie, C. J. S.: J. Plastics Polym. 38, p. 85 (1970)10.1016/S0033-3506(70)80013-0Search in Google Scholar
4 Menges, G., Predöhl, W.: Plastverarbeiter 23, p. 338 (1970)Search in Google Scholar
5 Menges, G. Predöhl, W.: Plastverarbeiter 23, p. 338 (1972)10.1111/j.1477-9552.1972.tb01458.xSearch in Google Scholar
6 Ast, W.: Kunststoffe 63, p. 427 (1973)10.1378/chest.63.3.427Search in Google Scholar PubMed
7 Ast, W.: Kunststoffe 64, p. 147 (1974)10.1094/Phyto-64-147Search in Google Scholar
8 Farber, R., Dealy, J. M.: Polym. Eng. Sei. 14, p. 435 (1974)10.1002/pen.760140606Search in Google Scholar
9 Petrie, C. J. S.: Plastics Polym. 42, p. 259 (1974)10.1119/1.1987665Search in Google Scholar
10 Han, C. D., Park, J. E:J. Appl. Polym. Sei. 19, p. 3257 (1975)10.1002/app.1975.070191212Search in Google Scholar
11 Han, C. D., Park, J. Y: J. Appl. Polym. Sci. 19, p. 3291 (1975)10.1002/app.1975.070191214Search in Google Scholar
12 Han, C. D., Park, J. Y.: J. Appl. Polym. Sci. 19, p. 3291 (1975)10.1002/app.1975.070191214Search in Google Scholar
13 Petrie, C. J. S.: AIChE J. 21, p. 275 (1975)10.1002/aic.690210208Search in Google Scholar
14 Wagner, M. H.: Rheol. Acta. 15, p. 40 (1976)10.1007/BF01538516Search in Google Scholar
15 Yeow, Y. L.: J. Fluid Mech. 75 577 (1976)10.1017/S0022112076000396Search in Google Scholar
16 Han, C. D., Park, J. Y.: IEC Fund. 16, p. 49 (1977)10.1021/i160061a012Search in Google Scholar
17 Swerdlow, M., Cogswell, F. N., Krul, N.: Plast. Rubber Proc., p 11. (1980)Search in Google Scholar
18 Choi, K. J., White, J. L., Spruiell, J. E J. Appl. Polym. Sci 25 2777 (1980)10.1002/app.1980.070251210Search in Google Scholar
19 Choi, K. J., Spruiell, J. E.:J. Appl. Polym. Sci. 25, p. 2777 (1980)10.1002/app.1980.070251210Search in Google Scholar
20 Gupta, R. K., Metzner, A. B., Wissbrun, K. F: Polym. Eng. Sci. 22, p. 172 (1983)10.1002/pen.760220307Search in Google Scholar
21 Han, C. D., Kwack, T H.:i. Appl. Polym. Sci. 28, p. 3399 (1983)10.1002/app.1983.070281108Search in Google Scholar
22 Kanai, T, White, J. L.: Polym. Eng. Sci. 24, p. 1185 (1984)10.1002/pen.760241508Search in Google Scholar
23 Saeda, M., Ichibara, S.: Seni Gakkaishi 41, T–16 (1985)Search in Google Scholar
24 Kanai, T, White J. L.: J. Polym. Eng. 5, p. 135 (1985) and with Tomikawa, M. and Shimizu J. Seni Gakkaishi 40, T-465 (1984)10.1515/polyeng-1985-0204Search in Google Scholar
25 Kanai, T, Kimura, M., Shimizu, J.: Seni Gakkaishi 41, T–139, T-179, (1985)10.2115/fiber.41.4_T139Search in Google Scholar
26 Luo, X. L., Tanner, R. I.: Polym. Eng. Sei. 25, p. 620 (1985)10.1002/pen.760251008Search in Google Scholar
27 Minoshima, W., White, J. L.: J. Non. Newt. Fluid Meeh. 19, p. 275 (1986)10.1016/0377-0257(86)80053-2Search in Google Scholar
28 White, J. L., Yamane, H: Pure Appl. Chem. (in press)Search in Google Scholar
29 Yamane H., White J. L.: Nihon Reoroji Gakkaishi (in press)Search in Google Scholar
30 Flugge, W.: Stresses in Shells, Springer, Berlin (1960)10.1007/978-3-662-01028-0Search in Google Scholar
31 Eckert, E. R. G., Drake, R. M.: Heat and Mass Transfer McGraw-Hill, New York (1954)Search in Google Scholar
© 1987 Walter de Gruyter GmbH, Berlin/Boston, Germany