Theory and Computation Wilson, Helen. creator author. aut http://id.loc.gov/vocabulary/relators/aut Sircar, Sarthok. author. aut http://id.loc.gov/vocabulary/relators/aut Shukla, Priyanka. author. aut http://id.loc.gov/vocabulary/relators/aut SpringerLink (Online service) text si 2024 1st ed. 2024. monographic eng

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access XVIII, 171 p. 32 illus., 14 illus. in color. online resource. 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. Introduction -- Preliminaries of Fractional Derivatives -- Spatiotemporal Linear Stability Analyses -- Macrostructure quantification via a Riemannian metric -- Rheodynamics of sub-diffusive channel flows -- Limitations and Future Directions. by Helen Wilson, Sarthok Sircar, Priyanka Shukla. Soft condensed matter Continuum mechanics Mechanics, Applied Fluids Continuum Mechanics Engineering Mechanics TA418.9.A-Z 9789819601356 https://doi.org/10.1007/978-981-96-0135-6 https://doi.org/10.1007/978-981-96-0135-6 250101 20251030114916.0 978-981-96-0135-6