TY  - BOOK
AU  - Wilson,Helen
AU  - Sircar,Sarthok
AU  - Shukla,Priyanka
ED  - SpringerLink (Online service)
TI  - Viscoelastic Subdiffusive Flows: Theory and Computation 
T2  - Fluid Mechanics and Its Applications,
SN  - 9789819601356
AV  - TA418.9.A-Z 
PY  - 2024///
CY  - Singapore
PB  - Springer Nature Singapore, Imprint: Springer
KW  - Soft condensed matter
KW  - Continuum mechanics
KW  - Mechanics, Applied
KW  - Fluids
KW  - Continuum Mechanics
KW  - Engineering Mechanics
N1  - 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
N2  - 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
UR  - https://doi.org/10.1007/978-981-96-0135-6
ER  -