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Viscoelastic subdiffusive flows = th...

Wilson, Helen.

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Viscoelastic subdiffusive flows = theory and computation /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Viscoelastic subdiffusive flows/ by Helen Wilson, Sarthok Sircar, Priyanka Shukla.
Reminder of title:	theory and computation /
Author:	Wilson, Helen.
other author:	Sircar, Sarthok.
Published:	Singapore :Springer Nature Singapore : : 2024.,
Description:	xviii, 171 p. :ill., digital ;24 cm.
[NT 15003449]:	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.
Contained By:	Springer Nature eBook
Subject:	Polymer solutions. -
Online resource:	https://doi.org/10.1007/978-981-96-0135-6
ISBN:	9789819601356

Viscoelastic subdiffusive flows = theory and computation /
Wilson, Helen.

Viscoelastic subdiffusive flowstheory and computation /[electronic resource] :by Helen Wilson, Sarthok Sircar, Priyanka Shukla. - Singapore :Springer Nature Singapore :2024. - xviii, 171 p. :ill., digital ;24 cm. - Fluid mechanics and its applications,v. 1382215-0056 ;. - Fluid mechanics and its applications ;v. 138..

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.

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.

ISBN: 9789819601356

Standard No.: 10.1007/978-981-96-0135-6doiSubjects--Topical Terms:

604567
Polymer solutions.

LC Class. No.: QD381.9.S65

Dewey Class. No.: 530.429

Viscoelastic subdiffusive flows = theory and computation /
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245 1 0 $a Viscoelastic subdiffusive flows $h [electronic resource] : $b theory and computation / $c by Helen Wilson, Sarthok Sircar, Priyanka Shukla.
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300 $a xviii, 171 p. : $b ill., digital ; $c 24 cm.
490 1 $a Fluid mechanics and its applications, $x 2215-0056 ; $v v. 138
505 0 $a 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.
520 $a 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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650 2 4 $a Continuum Mechanics. $3 3538810
650 2 4 $a Engineering Mechanics. $3 3538834
700 1 $a Sircar, Sarthok. $3 3754958
700 1 $a Shukla, Priyanka. $3 3754959
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