This book discusses the dynamical and rheological properties of high molecular weight entangled polymer melts, commonly known as viscoelastic subdiffusive fluids. Unlike dilute liquids, these materials exhibit molecular transport within a sublinear regime, meaning the timescale of diffusive transport is sublinear. The text emphasizes the potential of fractional calculus in modeling these fluids and introduces a novel fractional model to investigate regions of spatiotemporal instability in channel flows. At the microscale, the entanglement of polymer chains leads to localized, non-homogeneous regions with increased viscosity, which manifest as spatiotemporal macrostructures at the macroscale. To capture these macrostructures within the flow, direct numerical simulations are employed using a newly developed, physically realizable structure tensor, contributing to a deeper understanding of this complex class of fluids.
| Autorius: | Helen Wilson, Priyanka Shukla, Sarthok Sircar, |
| Leidėjas: | Springer Nature Singapore |
| Išleidimo metai: | 2025 |
| Knygos puslapių skaičius: | 192 |
| ISBN-10: | 9819601347 |
| ISBN-13: | 9789819601349 |
| Formatas: | 241 x 160 x 17 mm. Knyga kietu viršeliu |
| Kalba: | Anglų |
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