UID:
almahu_9949930995602882
Umfang:
XVIII, 171 p. 32 illus., 14 illus. in color.
,
online resource.
Ausgabe:
1st ed. 2024.
ISBN:
9789819601356
Serie:
Fluid Mechanics and Its Applications, 138
Inhalt:
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.
Anmerkung:
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.
In:
Springer Nature eBook
Weitere Ausg.:
Printed edition: ISBN 9789819601349
Weitere Ausg.:
Printed edition: ISBN 9789819601363
Weitere Ausg.:
Printed edition: ISBN 9789819601370
Sprache:
Englisch
DOI:
10.1007/978-981-96-0135-6
URL:
https://doi.org/10.1007/978-981-96-0135-6
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