, Volume 22, Issue 3, pp 1963–1976 | Cite as

Dynamic modeling of dry-jet wet spinning of cellulose/[BMIM]Cl solution: complete deformation in the air-gap region

  • Xiaolin Xia
  • Mingfang Gong
  • Chaosheng Wang
  • Biao Wang
  • Yumei ZhangEmail author
  • Huaping Wang
Original Paper


During the dry-jet wet spinning process of cellulose solutions with 1-butyl-3-methylimidazolium chloride ([BMIM]Cl) as solvent, the special viscoelastic characteristics of the solution lead to a large air-gap distance where the extruded flow can extend completely before entering the coagulation bath. Therefore, online measurement of diameter and temperature can be carried out and the velocity on the spinning line determined reasonably. Therefore, a model of dry-jet wet spinning is proposed to simulate the extrusion and extending dynamics of cellulose/[BMIM]Cl solutions in the air-gap region with complete deformation. Material parameters such as the density and heat capacity were determined by experiment, and the heat transfer coefficient along the spin-line was evaluated by an inversion procedure involving online experimental data for temperature and diameter. A two-dimensional (2-D) approach in POLYFLOW was adopted to compute the dynamic parameters along both the axial and radial directions of the spinning line. The numerical results were verified by comparison with experimental data including temperature and diameter. It was found that the contraction flow in the spinneret orifice could not be neglected and use of a nonisothermal viscoelastic model in the constitutive equation gave better agreement between simulation and experiment.


Cellulose Dry-jet wet spinning Dynamic modeling Air-gap region Complete deformation 



The work is supported by a grant from the National Natural Science Foundation of China (grant no. 51273041) and Chinese Universities Scientific Fund (CUSF-DH-D-2015018).


  1. Alves MA, Pinho FT, Oliveira PJ (2005) Visualizations of Boger fluid flows in a 4:1 square–square contraction. AIChE J 51(11):2908–2922CrossRefGoogle Scholar
  2. Bheda JH, Spruiell JE (1990) Dynamics and structure development during high speed melt spinning of nylon 6. I. On-line experimental measurements. J Appl Polym Sci 39(2):447–463CrossRefGoogle Scholar
  3. Chae DW, Chae HG, Kim BC, Oh YS, Jo SM, Lee WS (2002) Physical properties of Lyocell fibers spun from isotropic cellulose dope in NMMO monohydrate. Text Res J 72(4):335–340CrossRefGoogle Scholar
  4. Chen X, Zhang YM, Cheng LY, Wang HP (2009) Rheology of concentrated cellulose solutions in 1-butyl-3-methylimidazolium chloride. J Polym Environ 17(4):273–279CrossRefGoogle Scholar
  5. Chen X, Zhang YM, Wang HP, Wang SW, Liang SW, Colby RH (2011) Solution rheology of cellulose in 1-butyl-3-methyl imidazolium chloride. J Rheol 55(3):485–494CrossRefGoogle Scholar
  6. Choe EW, Kim SN (1981) Synthesis, spinning, and fiber mechanical properties of poly(p-phenylenebenzobisoxazole). Macromolecules 14(4):920–924CrossRefGoogle Scholar
  7. Chung TS, Xu ZL, Lin WH (1999) Fundamental understanding of the effect of air-gap distance on the fabrication of hollow fiber membranes. J Appl Polym Sci 72(3):379–395CrossRefGoogle Scholar
  8. Csihony S, Fischmeister C, Bruneau C, Horváth IT, Dixneuf PH (2002) First ring-opening metathesis polymerization in an ionic liquid. Efficient recycling of a catalyst generated from a cationic ruthenium allenylidene complex. New J Chem 26:1667–1670CrossRefGoogle Scholar
  9. De Rovère A, Shambaugh RL (2001) Melt-spun hollow fibers: modeling and experiments. Polym Eng Sci 41(7):1206–1219CrossRefGoogle Scholar
  10. Doufas AK, Dairanieh IS, McHugh AJ (1999) A continuum model for flow-induced crystallization of polymer melts. J Rheol 43(1):85–109CrossRefGoogle Scholar
  11. Doufas AK, McHugh AJ, Miller C (2000) Simulation of melt spinning including flow-induced crystallization. Part I. Model development and predictions. J Non-Newton Fluid 92(1):27–66CrossRefGoogle Scholar
  12. Fink HP, Weigel P, Purz HJ, Ganster J (2001) Structure formation of regenerated cellulose materials from NMMO-solutions. Prog Polym Sci 26(9):1473–1524CrossRefGoogle Scholar
  13. Gou Z, McHugh AJ (2004a) Dry spinning of polymer fibers in ternary systems, part I: model development and predictions. Int Polym Proc 19(3):244–253CrossRefGoogle Scholar
  14. Gou Z, McHugh AJ (2004b) Two-dimensional modeling of dry spinning of polymer fibers. J Non-Newton Fluid 118(2–3):121–136CrossRefGoogle Scholar
  15. Hancock TA, Spruiell JE, White JL (1977) Wet spinning of aliphatic and aromatic polyamides. J Appl Polym Sci 21(5):1227–1247CrossRefGoogle Scholar
  16. Hancock TA, White JL, Spruiell JE (1980) Mechanism of formation of fluted void superstructures in the coagulation of wet spun fibers and application to membranes. Polym Eng Sci 20(17):1126–1131CrossRefGoogle Scholar
  17. Henson GM, Cao D, Bechtel SE, Forest MG (1998) A thin-filament melt spinning model with radial resolution of temperature and stress. J Rheol 42(2):329–360CrossRefGoogle Scholar
  18. Kalabin AL, Pakshver EA (1997) Simulation of kinetics and heat and mass transfer for the spinning of chemical fibers from polymer solutions. Theor Found Chem Eng 31(6):520–525Google Scholar
  19. Kase S, Matsuo T (1965) Studies on melt spinning. I. Fundamental equations on the dynamics of melt spinning. J Polym Sci A 3:2541–2552Google Scholar
  20. Kim DB, Pak JJ, Jo SM, Lee WS (2005) Dry jet-wet spinning of cellulose/N-methylmorpholine N-oxide hydrate solutions and physical properties of Lyocell fibers. Text Res J 75(4):331–341CrossRefGoogle Scholar
  21. Kulkarni JA, Beris AN (1998) A model for the necking phenomenon in high-speed fiber spinning based on flow-induced crystallization. J Rheol 42(4):971–994CrossRefGoogle Scholar
  22. Liu RG, Shen YY, Shao HL, Wu CX, Hu XC (2001) An analysis of Lyocell fiber formation as a melt–spinning process. Cellulose 8(1):13–21CrossRefGoogle Scholar
  23. Oh TH (2006) Studies on melt spinning process of hollow polyethylene terephthalate fibers. Polym Eng Sci 46(5):609–616CrossRefGoogle Scholar
  24. Oh TH, Lee MS, Kim SY, Shim HJ (1998) Studies on melt-spinning process of hollow fibers. J Appl Polym Sci 68(8):1209–1217CrossRefGoogle Scholar
  25. Patel RM, Bheda JH, Spruiell JE (1991) Dynamics and structure development during high-speed melt spinning of nylon 6. II. Mathematical modeling. J Appl Polym Sci 42(6):1671–1682CrossRefGoogle Scholar
  26. Paul DR (1968) Diffusion during the coagulation step of wet-spinning. J Appl Polym Sci 12(3):383–402CrossRefGoogle Scholar
  27. Shimizu J, Okui N, Kikutani T (1981) High speed melt spinning of poly(ethyleneterephthalate) radial variation across fibers. Sen-i Gakkaishi 37(4):T135–T142CrossRefGoogle Scholar
  28. Shrikhande P, Kohler WH, McHugh AJ (2006) A modified model and algorithm for flow-enhanced crystallization—application to fiber spinning. J Appl Polym Sci 100(4):3240–3254CrossRefGoogle Scholar
  29. Wan SX, Zhang YM, Wang HP (2009) Acrylic fibers processing with ionic liquid as solvent. Polym Adv Technol 20(11):857–862CrossRefGoogle Scholar
  30. White JL, Hancock TA (1981) Fundamental analysis of the dynamics, mass transfer, and coagulation in wet spinning of fibers. Polym Eng Sci 26(9):3157–3170Google Scholar
  31. Xia XL, Yao YB, Gong MF, Wang HP, Zhang YM (2014a) Rheological behaviors of cellulose/[BMIM]Cl solutions varied with dissolving process. J Polym Res 21(6):512–518CrossRefGoogle Scholar
  32. Xia XL, Yao YB, Zhu XJ, Mukuze KS, Wang CS, Zhang YM, Wang HP (2014b) Simulation on contraction flow of concentrated cellulose/1-butyl-3-methylimidazolium chloride solution through spinneret orifice. Mater Res Innov 18(S2):874–878CrossRefGoogle Scholar
  33. Yang HH (1989) Aromatic high-strength fibers. Wiley, New YorkGoogle Scholar
  34. Yang XT, Xu ZL, Wei YM (2006) Two-dimensional simulation of hollow fiber membrane fabricated by phase inversion method. J Appl Polym Sci 100(3):2067–2074CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2015

Authors and Affiliations

  • Xiaolin Xia
    • 1
  • Mingfang Gong
    • 1
  • Chaosheng Wang
    • 1
  • Biao Wang
    • 1
  • Yumei Zhang
    • 1
    Email author
  • Huaping Wang
    • 1
  1. 1.State Key Laboratory for Modification of Chemical Fibers and Polymer MaterialsDonghua UniversityShanghaiChina

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