Non-isothermal process of viscoelastic polymer fi lm casting
https://doi.org/10.35164/0554-2901-2019-5-6-27-29
Abstract
The steady-state non-isothermal process of viscoelastic fl at polymer fi lm casting is considered. The polymer melt is extruded through a fl at die, subjected to uniaxial stretching and at the same time air cooling, and then fi nally cooled down on a chill roll. It is assumed that the fi lm is wide enough, the distance between the extruder die and the cooling roller is minimal to such an extent that it is possible to neglect change of width of a fi lm in the course of longitudinal stretching. It is also believed that the forces of gravity, inertia and surface tension can be ignored. From a rheological standpoint, polymer melt is the viscoelastic fl uid. The upper-convective Maxwell model with temperature-dependent viscosity is used. The problem is solved by a numerical method of fi nite diff erences.
About the Author
A. V. ВaranovRussian Federation
Moscow
References
1. Cotto D., Duff o P., Haudin J.M. Cast fi lm extrusion of polypropylene fi lms // Int. Polym. Proc., 1989, V. 4, No. 2, P. 103-113.
2. Barq P., Haudin J.M., Agassant J.F. Instability phenomena in fi lm casting process // Int. Polym. Proc., 1990, V. 5, No 4, P. 264-271.
3. Barq P., Haudin J.M., Agassant J.F. Isothermal and anisotherma, models for cast fi lm extrusion // Int. Polym. Proc., 1992, V. 7, No 4, P. 334-349.
4. Silagy D., Demay Y., Agassant J.F. Numerical simulation of the fi lm casting process // Int. J. Numerical Methods in Fluids, 1999, V. 30, P. 1-18.
5. Alaie S.M., Papanastasiou T.C. Film Casting of viscoelastic liquid // Polym. Eng. Sci., 1991, V. 31, No 2, P. 67-75.
6. Beaulne M., Mitsoulis E. Numerical simulation of the fi lm casting process // Int. Polym. Proc., 1999, V. 14, No 3, P. 261-275.
7. Satoh N. Viscoelastic simulation of fi lm casting process for polymer melt // Polym. Eng. Sci., 2001, V. 41, No 9, P. 1564-1579.
8. Pol H., Banik S., Azad L.B., Thete S. Nonisothermal analysis of extrusion fi lm casting process using molecular constitutive equations // Rheol. Acta, 2014, V.53, P. 85-101.
9. Zatloukal M., Barborik T. Eff ect of extensional viscosity, elasticity and die stress state on neck-in phenomenon during extrusion fi lm casting: theoretical study // SPE ANTEC, 2016, P. 715-719.
10. Anturkar N.R., Co A. Draw resonance in fi lm casting of viscoelastic fl uids: a linear stability analysis // J. Non-Newton. Fluid Mech., 1988, V. 28, P. 287-307.
11. Barq P., Haudin J.M., Agassant J.F., Bourgin P. Stationary and dynamic analysis of fi lm casting process // Int. Polym. Proc., 1994, V. 9, No 4, P. 350-358.
12. Silagy D., Demay Y., Agassant J.F. Study of the stability of the fi lm casting process // Polym. Eng. Sci., 1996, V. 36, No 21, P. 2614-2625.
13. Silagy D., Demay Y., Agassant J.F. Stationary and stability analysis of the fi lm casting process // J. Non-Newton. Fluid Mech., 1998, V. 79, P. 563-583.
14. Kim J. M., Lee J.S., Shin D.M., Jung H.W. Transient solutions of the dynamics of fi lm casting process using a 2-D viscoelastic model // J. Non-Newton. Fluid Mech., 2005, V.132, P. 53-60.
15. Boratav O.N., Zheng Z., Zhou C. Infl uence of heat transfer on stability of newtonian and non-newtonian extending fi lms // Int. J. Mech. and Mechatronics Eng., 2013, V. 7, No 6, P. 1163-1166.
16. Barot G., Rao I.J. Modeling the fi lm casting process using a continuum model for crystallization in polymers // Int. J. Non-Linear Mech., 2005, V. 40, P. 939-955.
17. Hagen T. C. Elongational fl ows in polymer processing. PhD Dissertation. Virginia Tech, 1998.
18. Баранов А.В., Тябин Н.В., Герасименко В.А. Математическое описание реодинамики и теплообмена при формовании рукавной пленки раздувом // Инженерно-физический журнал, 1988, т. 54, № 6, С. 956-962.
19. Demay Y., Agassant J.F. An overview of molten polymer drawing instabilities // Int. Polym. Proc., 2014, V. 29, No 1, P. 128-139.
20. Баранов А.В., Дахин О.Х., Ляпков А.В., Тябин Н.В. Математическое моделирование процесса формования плоской полимерной пленки // Инженерно-физический журнал, 1990, Т.53, № 5, С. 862-866.
Review
For citations:
Вaranov A.V. Non-isothermal process of viscoelastic polymer fi lm casting. Plasticheskie massy. 2019;(5-6):27-29. (In Russ.) https://doi.org/10.35164/0554-2901-2019-5-6-27-29