Viscoelastic model hierarchy for fiber melt spinning of semi-crystalline polymers

• Published in: Journal of non-Newtonian fluid mechanics 2025-01, Vol.335, p.105349, Article 105349
• Main Authors: Ettmüller, Manuel, Arne, Walter, Marheineke, Nicole, Wegener, Raimund
• Format: Article
• Language: English
• Subjects: Boundary value problems; Crystallization; Fiber spinning; Melt spinning; Model hierarchy; Viscoelastic two-phase model
• ISSN: 0377-0257
• DOI: 10.1016/j.jnnfm.2024.105349

In the fiber melt spinning of semi-crystalline polymers, the degree of crystallization can be non-homogeneous over the cross-section of the fiber, affecting the properties of the end product. For simulation-based process design, the question arises as to which fiber quantities and hence model equations must be resolved in radial direction to capture all practically relevant effects and at the same time imply a model that can be computed with reasonable effort. In this paper, we present a hierarchy of viscoelastic two-phase fiber models ranging from a complex, fully resolved and highly expensive three-dimensional description to a cross-sectionally averaged, cheap-to-evaluate one-dimensional model. In particular, we propose a novel stress-averaged one-two-dimensional fiber model, which circumvents additional assumptions on the inlet profiles needed in the established stress-resolved fiber model by Doufas et al. (2001). Simulation results demonstrate the performance and application regime of the dimensionally reduced models. The novel stress-averaged variant provides fast and reliable results, especially in the regime of low flow-enhanced crystallization. •Investigation of a viscoelastic two-phase fiber model hierarchy, including both viscoelastic effects and microstructural influences.•Derivation of a novel stress-averaged one-two-dimensional model, which does not require further assumptions on the stress inlet profile.•Model comparison shows good approximation quality, especially in the regime of low flow-enhanced crystallization.