PERSONAL DE APOYO
OTTONE Mariel Lorena
A Numerical Method for the Viscoelastic Melt-Spinning Model with Radial Resolutions of Temperature and Stress Fields
M. L. OTTONE AND J. A. DEIBER
JOURNAL OF INDUSTRIAL AND ENGINEERING CHEMISTRY
Año: 2002 vol. 41 p. 6345 - 6353
A numericalmethod to compute the viscoelastic melt-spinning model with radial resolutionsof temperature and stress fields is formulated and applied to the low speedrange. The starting framework is the reduction of the complete continuous modelinto both the perturbed two-dimensional model and the perturbed average modelobtained from a first-order regular perturbation analysis available in theliterature. The polymer rheology is described with the nonisothermal Phan-Thienand Tanner and Giesekus constitutive equations. By using the implicittridiagonal scheme of finite differences coupled to the fourth-orderRunge-Kutta method, an iterative numerical algorithm is proposed for thecomputation of the coupled balance equations. The temperature and stress fieldsin the filament as functions of axial and radial positions are obtained for awell-refined mesh and with high numerical precision. The numerical algorithmconsiders the appropriate interplay between axial and radial varyingtemperature and stress fields and the rigorous averaged balances of momentumand energy and averaged constitutive equation. The development of a skin-corestructure is predicted with the two rheological models.