Korea-Australia Rheology Journal

The Korean Society of Rheology (한국유변학회)
권호 표지

Sensitivity analysis of melt spinning process by frequency response

  • Hyun, Jae-Chun (Applied Rheology Center, Department of Chemical & Biological Engineering Korea University) ;
  • Jung, Hyun-Wook (Applied Rheology Center, Department of Chemical & Biological Engineering Korea University) ;
  • Lee, Joo-Sung (Applied Rheology Center, Department of Chemical & Biological Engineering Korea University)
  • Published : 2002.06.01
Download PDF
⟨ Previous Next ⟩

Abstract

The sensitivity of the final filament to the ongoing sinusoidal disturbances has been Investigated in the viscoelastic spinning using frequency response method. Amplification ratios or gains of the spinline cross-sectional area at the take-up to any disturbances show resonant peaks along the frequency regime, where the frequencies at theme points directly correspond to the imaginary parts of the successive leading eigenvalues from the linear stability analysis. As shown in Jung et al. (1999) and Lee et al (2001), the sensitivity results on the effect of various process conditions such as spinline cooling and fluid viscoelasticity, obtained by dynamic transient simulation have been corroborated in this study. That is, increasing spinline cooling makes the system less sensitive to disturbances, thus stabilizes the spinning. Also, an increasing viscoelasticity for extension-thickening fluids decreases the sensitivity of the spinning. i.e., stabilizing the system, where, as it increases the sensitivity of the spinning of extension-thinning fluids. Furthermore, it has been found in the present study that the inertia force as one of secondary forces causes the system to be more stabile or less sensitive to process disturbances.

Keywords

References

  1. Fibers and Polymers v.2 Neck formation in drawing processes in fibers Chung, K.;H. Yoon;J. R. Youn https://doi.org/10.1007/BF02875222
  2. Ind. Eng. Chem. Res. v.33 Frequency response analysis of polymer melt spinning Devereux, B. M.;M. M. Denn https://doi.org/10.1021/ie00034a020
  3. AIChE J. v.22 A theory of isothermal melt spinning and draw resonance Fisher, R. J.;M. M. Denn https://doi.org/10.1002/aic.690220203
  4. Dynamic behavior of processes Friedly, J. C.
  5. Ind. Eng. Chem. Fundam. v.10 The stability of fiber drawing processes Gelder, D. https://doi.org/10.1021/i160039a032
  6. AIChE J. v.24 Theory of draw resonance:Ⅰ. Newtonian fluids Hyun, J. C. https://doi.org/10.1002/aic.690240305
  7. AIChE J. v.24 Theory of draw resonance:Ⅱ. Power-law and Maxwell fluids Hyun, J. C. https://doi.org/10.1002/aic.690240306
  8. Korea-Australia Rheology J. v.11 Draw resonance in polymer processing: A short chronology and a new approach Hyun, J. C.
  9. Ph.D. Process stability and property development in polymer extensional deformation processes Jung, H. W.
  10. Korean J. of Chem. Eng. v.16 Stability of isothermal spinning of viscoelastic fluids Jung, H. W.;J. C. Hyun https://doi.org/10.1007/BF02707120
  11. J. Non-Newt. Fluid Mech. v.87 Analysis of the stabilizing effect of spinline cooling in melt spinning Jung, H. W.;H.-S. Song;J. C. Hyun https://doi.org/10.1016/S0377-0257(99)00061-0
  12. AIChE J. v.46 Draw resonance and kinematic waves in viscoelastic isothermal spinning Jung, H. W.;H.-S. Song;J. C. Hyun https://doi.org/10.1002/aic.690461021
  13. Sensitivity analysis of drawing flows Jung, H. W.;L. E. Scriven
  14. J. Appl. Polym. Sci. v.27 Studies on melt spinning. Ⅷ. Transfer function approach Kase, S.;M. Araki https://doi.org/10.1002/app.1982.070271132
  15. J. Rheol. v.31 Comparison of simple constitutive equations for polymer melts in shear and biaxial and uniaxial extensions Khan, S. A.;R. G. Larson https://doi.org/10.1122/1.549922
  16. AIChE J. v.42 Kinematic waves in the isothermal melt spinning of Newtonian fluids Kim, B. M.;J. C. Hyun;J. S. Oh;S. J. Lee https://doi.org/10.1002/aic.690421116
  17. Rheol. Acta v.31 Instabilities in viscoelastic flows Larson, R. G. https://doi.org/10.1007/BF00366504
  18. Korea-Australia Rheology J. v.12 Melt spinning dynamics of Phan-Thien Tanner fluids Lee, J. S.;H. W. Jung;J. C. Hyun
  19. J. Non-Newt. Fluid Mech. v.99 Effect of fluid viscoelasticity on the draw resonance dynamics of melt spinning Lee, J. S.;H. W. Jung;S. H. Kim;J. C. Hyun https://doi.org/10.1016/S0377-0257(01)00111-2
  20. Korea-Australia Rheology Journal v.13 Nonlinear dynamics and stability of film casting process Lee, J. S.;J. C. Hyun
  21. Ind. Eng. Chem. Fundam. v.8 Spinning a molten threadline: stability Pearson, J. R. A.;M. A. Matovich https://doi.org/10.1021/i160032a001
  22. Progress and Trends in Rheology v.Ⅱ Some remarks on the stability of extensional flows Petrie, C. J. S.