Viscoelastic Subdiffusive Flows : Theory and Computation - Helen Wilson

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Viscoelastic Subdiffusive Flows

Theory and Computation

By: Helen Wilson, Sarthok Sircar, Priyanka Shukla

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Hardcover | 1 February 2025

At a Glance

Hardcover
192 Pages

Dimensions(cm)
23.5 x 15.5 x 1.27

Hardcover

$259.01

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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.

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