Viscoelastic Subdiffusive Flows
Theory and Computation
Buch in deiner Nähe kaufen
Beschreibung
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.
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.
Explores the dynamical and rheological properties of viscoelastic subdiffusive fluids Introduce a fractional model using fractional calculus to study spatiotemporal instabilities in channel flows Analyze macrostructures from polymer entanglement using direct simulations with a newly developed structure tensor
Autor*in
Helen Wilson
Themen in »Viscoelastic Subdiffusive Flows«
anomalous diffusion fractional calculus structure preserving groups IMEX time integration Riemannian manifold Rouse polymer melts viscoelastic fluids hydrodynamic stability