Viscoelastic Subdiffusive Flows : Theory and Computation / by Helen Wilson, Sarthok Sircar, Priyanka Shukla.

Format:

Book

Author/Creator:

Wilson, Helen.

Contributor:

Sircar, Sarthok.

Shukla, Priyanka.

Series:

Fluid Mechanics and Its Applications, 2215-0056 ; 138

Language:

English

Subjects (All):

Soft condensed matter.

Continuum mechanics.

Mechanics, Applied.

Fluids.

Continuum Mechanics.

Engineering Mechanics.

Local Subjects:

Fluids.

Continuum Mechanics.

Engineering Mechanics.

Physical Description:

1 online resource (183 pages)

Edition:

1st ed. 2024.

Place of Publication:

Singapore : Springer Nature Singapore : Imprint: Springer, 2024.

Summary:

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.

Contents:

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.

Notes:

Description based on publisher supplied metadata and other sources.

ISBN:

9789819601356

9819601355

OCLC:

1482817267