Two-dimensional modeling of dry spinning of polymer fibers

Predictions of the dynamics of dry spinning of polymer fibers based on a two-dimensional model are presented. The constitutive equation used to describe the spinning fluid includes both viscous and viscoelastic effects and is based on an equivalent parallel combination of a non-linear Giesekus equation and a simple Newtonian component. Temperature and composition effects are accounted for in the viscosity, glass transition, and zero-shear modulus, and through these, in the associated relaxation time of the constitutive model. Inclusion of the viscous component enables predictions of the distinction between locking-in of the fiber velocity profile due to the rapidly rising viscosity and consequently dropping deformation rate, and fiber solidification due to the occurrence of a glass transition. Predictions of the axial and radial profiles of temperature, composition, stress, and orientation reflect the occurrence of skin-core morphology. Moreover, the single free parameter in the model, representing the ratio of the Newtonian component viscosity to that of the total viscosity, affects the fiber force profiles, and most especially the fiber axial velocity profile, and can therefore be used as a fitting parameter for spinline data.

[1]  Antonios K. Doufas,et al.  A continuum model for flow-induced crystallization of polymer melts , 1999 .

[2]  I. S. Dairanieh,et al.  An analysis of local flow effects in flow-induced orientation and crystallization , 1983 .

[3]  S. Takao,et al.  Elastic behavior of concentrated solutions of acrylonitrile copolymers , 1967 .

[4]  Yoshiyuki Ohzawa,et al.  Studies on dry spinning. II. Numerical solutions for some polymer–solvent systems based on the assumption that drying is controlled by boundary‐layer mass transfer , 1970 .

[5]  Z. Gou,et al.  A comparison of Newtonian and viscoelastic constitutive models for dry spinning of polymer fibers , 2003 .

[6]  Tatsuki Matsuo,et al.  Studies on dry spinning. I. Fundamental equations , 1969 .

[7]  F. N. Kelley,et al.  Viscosity and glass temperature relations for polymer‐diluent systems , 1961 .

[8]  Richard G. Griskey,et al.  Mass transfer during dry spinning of fibers , 1967 .

[9]  A. Peterlin.  Hydrodynamics of linear macromolecules , 1966 .

[10]  J. S. Vrentas,et al.  Prediction of diffusion coefficients for polymer‐solvent systems , 1982 .

[11]  J. Wiest.  A differential constitutive equation for polymer melts , 1989 .

[12]  D. V. Krevelen,et al.  Properties of polymers, their estimation and correlation with chemical structure , 1972 .

[13]  A. Cohen,et al.  A Padé approximant to the inverse Langevin function , 1991 .

[14]  E. B. Bagley,et al.  Separation of elastic and viscous effects in polymer melt extrusion , 1965 .

[15]  Jorge J. Moré,et al.  User guide for MINPACK-1. [In FORTRAN] , 1980 .

[16]  Antonios K. Doufas,et al.  Simulation of melt spinning including flow-induced crystallization: Part I. Model development and predictions , 2000 .

[17]  Irving Brazinsky,et al.  The dry spinning process: Comparison of theory with experiment , 1975 .

[18]  R. Bird.  Dynamics of Polymeric Liquids , 1977 .

[19]  Yuji Sano,et al.  DRYING BEHAVIOR OF ACETATE FILAMENT IN DRY SPINNING , 2001 .