Home Physical Sciences Fiber Spinning with Molecular Models
Article
Licensed
Unlicensed Requires Authentication

Fiber Spinning with Molecular Models

  • Z. Chen and A. C. Papanastosiou
Published/Copyright: February 28, 2022
Become an author with De Gruyter Brill
Submit Manuscript Author Information
International Polymer Processing
From the journal International Polymer Processing Volume 2 Issue 1

Abstract

The isothermal fiber spinning of ciscoelastic liquid is analyzed successfully by means of the Curtiss-Bird integral constitutive equation derived from molecular theory, Glaerkin/finite element method, and Newton iteration. The analysis accounts for shear and elongational prehistories, and specified draw ratio or drawing force. Solutions are obtained at high values of elasticity, draw ratio and drawing force. The predictions agree with the analytic solution for Newtonian liquid in the limit of zero relaxation time and with experimental data from the literature on spinning of polystyrene and polypropylene melts.

* Mail address: Dr. A.C.Papanastasiou, Dow Bldg 311 Dept. of Chemical Engineering, University Michigan, Ann Arbor, Michigan 481009, U.S.A.

Acknowledgement

Financial support for this research was provided by a NSF Research Initiation Grant-CBT 8 504 607, and by a fellowship from the Macromolecular Research Center of the University of Michigan.

References

1 Matovich, M. A., Pearson, J. R. A.: Ind. Eng. Chem. Fund. 8, pp. 512 to 521 (1969)10.1021/i160031a023Search in Google Scholar

2 Denn, M. M., Petrie, C. J. S., Avenas, P: AIChE J., 21, pp. 791 to 799 (1975)10.1002/aic.690210423Search in Google Scholar

3 Fisher, R. J., Denn, M. M.: AIChE J. 22, pp. 236 to 246 (1976)10.1002/aic.690220203Search in Google Scholar

4 White, J. L., Ide, Y.: J. Appl. Polymer Sci. 22, pp. 3057 to 3074 (1978)10.1002/app.1978.070221102Search in Google Scholar

5 Phan-Thien, N.:J. Rheol. 22, pp. 259 to 283 (1978)10.1122/1.549481Search in Google Scholar

6 Gupta, R. K., Puszynski, J.: J. Non-Newt. Fluid Mech. 21, pp. 99 to 113 (1986)10.1016/0377-0257(86)80065-9Search in Google Scholar

7 White, J. L.: Polym. Eng. Rev. 1, pp. 297 to 362 (1981)10.1109/MPER.1981.5511916Search in Google Scholar

8 Denn, M. M. in: Computational Analysis of Polymer Processing. Pearson, J. R. A., Richardson, M. (Eds.), Applied Science Publishers, London (1983)Search in Google Scholar

9 Ziabicki, A., Kawai, H.: High Speed Fiber Spinning. John Wiley, New York (1985)Search in Google Scholar

10 Malkus, D. S.:J. Non-Newt. Fluid Mech. 8, pp. 223 to 237 (1981)10.1016/0377-0257(81)80022-5Search in Google Scholar

11 Larson, R. C.: J. Rheol. 27, pp. 475 to 496 (1983)10.1122/1.549716Search in Google Scholar

12 Doi, M., Edwards, S. F.:J Chem. Soc. Faraday Trans. 74, pp. 918 to 931 (1979)10.1039/f29787400918Search in Google Scholar

13 Papanastasiou, Macosko, C. W., Scriven, L. E., Chen, Z.: AIChE J. in press (1987)Search in Google Scholar

14 Papanastasiou, A. C, Scriven, L. W., Macosko, C. W.: J. Rheol. 27, pp. 387 to 410 (1983)10.1122/1.549712Search in Google Scholar

15 Curtiss, C. F, Bird, R. B.: J. Chem. Phys. 74, pp. 2026 to 2033 (1981)10.1063/1.441247Search in Google Scholar

16 Saab, H. H, Bird, R. B., Curtiss, C. F.:J. Chem. Phys. 77, pp. 4758 to 4766 (1982)10.1063/1.444379Search in Google Scholar

17 Bird, R. B., Saab, H. H., Curtiss, C. F.:J. Phys. Chem. 86, pp. 1102 to 1106 (1982)10.1021/j100396a011Search in Google Scholar

18 Mewis, J., De Cleyn, G.: AIChE J. 28, pp. 900 to 907 (1982)10.1002/aic.690280603Search in Google Scholar

19 Currie, P. K.: N. Non-Newt. Fluid Mech. 11, pp. 53 to 68 (1982)10.1016/0377-0257(82)85015-5Search in Google Scholar

20 Petrie, C. J. S.: N. Non-Newt. Fluid Mech. 4, pp. 137 to 159 (1978)10.1016/0377-0257(78)85011-3Search in Google Scholar

21 Matsui, M., Bogue, D. C.: Polymer Eng. Sei. 16, pp. 735 to 741 (1976)10.1002/pen.760161105Search in Google Scholar

22 Trouton, F. T.: Proc. Roy. Soc., A77, pp. 426 to 439 (1906)10.1098/rspb.1906.0032Search in Google Scholar

23 Hudson, N. E., Ferguson, J., Mackie, P.: Trans. Soc. Rheol., 18, pp. 541 to 562 (1974)10.1122/1.549347Search in Google Scholar

24 Keunings, R., Crochet, M. J., Denn, M. M.: Ind. Eng. Chem. Fundam., 22, pp. 347 to 355 (1983)10.1021/i100011a013Search in Google Scholar

25 Marquardt, D. W.:J. SIAM, 11, pp. 431 to 441 (1963)10.1137/0111030Search in Google Scholar

26 Zeichner, G. R.: Spinnability of Ciscoelastic Fluids. M. Ch. E. Thesis, University of Delaware, Newark (1973)Search in Google Scholar

27 Ishizuka, O., Koyama, K., Nokubo, H.: Polymer 21, pp. 671 to 680 (1980)10.1016/0032-3861(80)90329-8Search in Google Scholar

28 Ishizuka, O., Koyama, K.: Polymer, 21, pp. 164 to 170 (1980)10.1016/0032-3861(80)90055-5Search in Google Scholar

Published Online: 2022-02-28
Published in Print: 2022-02-28

© 1987 Walter de Gruyter GmbH, Berlin/Boston, Germany

Articles in the same Issue

  1. Contents
  2. Present and Future Trends in Polymer Blends Technology**
  3. A Dispersive Mixing Testing Apparatus
  4. Injection Molding of Reinforced Thermosets
  5. Rheological Characterization of Sulfuric Acid Solutions of Poly(p-phenyleneterephthalamide)
  6. Fiber Spinning with Molecular Models
  7. Gel-Permeation Chromatography as a Tool for the Real-Time-Estimation of the Chain length Distribution in a Polymerization Reactor
  8. Second Moment Specification of Complex States of Polymer Chain Orientation in Fabricated Plastic Parts
  9. Thermal and Crystallization Behaviour of Polyphenylene Sulfide in Engineering Polymer Blends with HDPE
  10. Contents
  11. Review Paper
  12. Present and Future Trends in Polymer Blends Technology
  13. Original Contributions
  14. A Dispersive Mixing Testing Apparatus
  15. Injection Molding of Reinforced Thermosets
  16. Rheological Characterization of Sulfuric Acid Solutions of Poly(p-phenyleneterephthalamide)
  17. Fiber Spinning with Molecular Models
  18. Gel-Permeation Chromatography as a Tool for the Real-Time-Estimation of the Chain length Distribution in a Polymerization Reactor
  19. Second Moment Specification of Complex States of Polymer Chain Orientation in Fabricated Plastic Parts
  20. Thermal and Crystallization Behaviour of Polyphenylene Sulfide in Engineering Polymer Blends with HDPE
https://doi.org/10.1515/ipp-1987-0016

Articles in the same Issue

  1. Contents
  2. Present and Future Trends in Polymer Blends Technology**
  3. A Dispersive Mixing Testing Apparatus
  4. Injection Molding of Reinforced Thermosets
  5. Rheological Characterization of Sulfuric Acid Solutions of Poly(p-phenyleneterephthalamide)
  6. Fiber Spinning with Molecular Models
  7. Gel-Permeation Chromatography as a Tool for the Real-Time-Estimation of the Chain length Distribution in a Polymerization Reactor
  8. Second Moment Specification of Complex States of Polymer Chain Orientation in Fabricated Plastic Parts
  9. Thermal and Crystallization Behaviour of Polyphenylene Sulfide in Engineering Polymer Blends with HDPE
  10. Contents
  11. Review Paper
  12. Present and Future Trends in Polymer Blends Technology
  13. Original Contributions
  14. A Dispersive Mixing Testing Apparatus
  15. Injection Molding of Reinforced Thermosets
  16. Rheological Characterization of Sulfuric Acid Solutions of Poly(p-phenyleneterephthalamide)
  17. Fiber Spinning with Molecular Models
  18. Gel-Permeation Chromatography as a Tool for the Real-Time-Estimation of the Chain length Distribution in a Polymerization Reactor
  19. Second Moment Specification of Complex States of Polymer Chain Orientation in Fabricated Plastic Parts
  20. Thermal and Crystallization Behaviour of Polyphenylene Sulfide in Engineering Polymer Blends with HDPE
Sign up now to receive a 20% welcome discount
Institutional Access
How does access work?
Winner of the OpenAthens UX Award 2026
Winner of the OpenAthens UX Award 2026
Have an idea on how to improve our website?
Please write us.
© 2026 De Gruyter Brill
Downloaded on 7.3.2026 from https://www.degruyterbrill.com/document/doi/10.1515/ipp-1987-0016/html
Scroll to top button