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Non-isothermal viscoelastic melt spinning with stress-induced crystallization: numerical simulation and parametric analysis

  • Rui Wang , Kuangrong Hao EMAIL logo , Huaping Wang , Chaosheng Wang , Lei Chen and Ruimin Xie
Published/Copyright: February 25, 2022
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International Polymer Processing
From the journal International Polymer Processing Volume 37 Issue 1

Abstract

This paper considers a model of melt spinning with stress-induced crystallization, where the melt uses the Phan Thien-Tanner model, and the solid adopts the rubber elastic model. We design a computationally efficient algorithm for solving the model. The temperature, radius, and birefringence profile in low-speed and high-speed spun PET fibers were predicted and compared with the published experimental data. The simulation results are consistent with the experimental data from the literature. Then a parametric analysis is conducted to investigate the effects of operating conditions on the spinning dynamics and reveal the relationship between the operating conditions and the final properties. The change of take-up speed has a significant influence on the crystallinity and birefringence of the fiber.

Keywords: multi-mode Phan-Thien and Tanner (PTT) constitutive model; operating conditions; stress-induced crystallization; viscoelastic simulation
Corresponding author: Kuangrong Hao, College of Information Sciences and Technology, Donghua University, Shanghai 201620, PRC; and Engineering Research Center of Digitized Textile and Apparel Technology, Ministry of Education, Donghua University, Shanghai 201620, PRC, E-mail:

Funding source: National Key Research and Development Plan from Ministry of Science and Technology

Award Identifier / Grant number: 2016YFB0302701

Funding source: Fundamental Research Funds for the Central Universities

Award Identifier / Grant number: 2232021A-10,2232021D-36

Funding source: Fundamental Research Funds for the Central Universities and Graduate Student Innovation Fund of Donghua University

Award Identifier / Grant number: CUSF-DH-D-2021050

Funding source: National Natural Science Foundation of China

Award Identifier / Grant number: 61903078

Funding source: Natural Science Foundation of Shanghai

Award Identifier / Grant number: 19ZR1402300

Acknowledgments

The authors gratefully acknowledge the generous and helpful support of W. Dietz.

  1. Author contributions: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.

  2. Research funding: This work was supported in part by the National Key Research and Development Plan from Ministry of Science and Technology (2016YFB0302701), the Fundamental Research Funds for the Central Universities (2232021A-10, 2232021D-36), Fundamental Research Funds for the Central Universities and Graduate Student Innovation Fund of Donghua University (CUSF-DH-D-2021050), National Natural Science Foundation of China (61903078), and Natural Science Foundation of Shanghai (19ZR1402300).

  3. Conflict of interest statement: The authors declare no conflicts of interest regarding this article.

Appendix

The parameters used for the study were taken from a previous investigation (Dietz 2015).

Material parameters of polyester fiber

  1. Density of the polyester:

(A.1) ρ = ρ l ρ c x ρ l + 1 − x ρ c    kg m 3 ,

where ρ l  = 1356 − 0.5 T z and ρ c  = 1455.

  1. Heat capacity

The heat capacity c p is a function of temperature T z and crystallinity x:

(A.2) c p = c s x + c l ( 1 − x ) ,

where c s is the heat capacity of the crystalline region and c l that of the amorphous region.

(A.3) c s = 1048 + 2.933   T z ,

(A.4) c l = 1359 + 2.367   T z .

Physical properties of cooling air

  1. Density

(A.5) ρ a = 351 T a + 273    ( kg / m 3 )

  1. Viscosity

(A.6) η a = 1.446 × 10 − 6 ( T + 273 ) 1.5 T a + 386.9 .

  1. Thermal conductivity

(A.7) k a = 1.88 × 10 − 4   ( T a + 273 ) 0.866 .

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Received: 2020-08-27
Accepted: 2021-07-31
Published Online: 2022-02-25
Published in Print: 2022-03-28

© 2021 Walter de Gruyter GmbH, Berlin/Boston

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https://doi.org/10.1515/ipp-2021-4033
Keywords for this article
multi-mode Phan-Thien and Tanner (PTT) constitutive model; operating conditions; stress-induced crystallization; viscoelastic simulation

Articles in the same Issue

  1. Frontmatter
  2. Research Articles
  3. Process parameter optimization for Fused Filament Fabrication additive manufacturing of PLA/PHA biodegradable polymer blend
  4. Preparation and application of carbon black-filled rubber composite modified with a multi-functional silane coupling agent
  5. Non-isothermal viscoelastic melt spinning with stress-induced crystallization: numerical simulation and parametric analysis
  6. Effect of the amount of oxazoline compatibilizer on the mechanical properties of liquid crystalline polymer/polypropylene blends
  7. Tensile, rheological and morphological characterizations of multi-walled carbon nanotube/polypropylene composites prepared by microinjection and compression molding
  8. Modification of self-reinforced composites (SRCs) via film stacking process
  9. Study of distributive mixing in a journal bearing flow geometry
  10. Synthesis and characterization of wood flour modified by graphene oxide for reinforcement applications
  11. Antifouling improvement of a polyacrylonitrile membrane blended with an amphiphilic copolymer
  12. Exploring the applicability of a simplified fully coupled flow/orientation algorithm developed for polymer composites extrusion deposition additive manufacturing
  13. Understanding softening of amorphous materials for FFF applications
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