03349nam a22005655i 4500 978-981-96-0135-6 DE-He213 20251030114916.0 cr nn 008mamaa 250101s2024 si | s |||| 0|eng d 9789819601356 978-981-96-0135-6 10.1007/978-981-96-0135-6 doi TA418.9.A-Z TGMF bicssc TEC021000 bisacsh TGMF thema Wilson, Helen. author. aut http://id.loc.gov/vocabulary/relators/aut 90034 Viscoelastic Subdiffusive Flows [electronic resource] : Theory and Computation / by Helen Wilson, Sarthok Sircar, Priyanka Shukla. 1st ed. 2024. Singapore : Springer Nature Singapore : Imprint: Springer, 2024. XVIII, 171 p. 32 illus., 14 illus. in color. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Fluid Mechanics and Its Applications, 2215-0056 ; 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. Soft condensed matter. 66723 Continuum mechanics. Mechanics, Applied. Fluids. 67540 Continuum Mechanics. Engineering Mechanics. Sircar, Sarthok. author. aut http://id.loc.gov/vocabulary/relators/aut 90035 Shukla, Priyanka. author. aut http://id.loc.gov/vocabulary/relators/aut 90036 SpringerLink (Online service) Springer Nature eBook Printed edition: 9789819601349 Printed edition: 9789819601363 Printed edition: 9789819601370 Fluid Mechanics and Its Applications, 2215-0056 ; 138 35192 https://doi.org/10.1007/978-981-96-0135-6 ZDB-2-PHA ZDB-2-SXP 66277 66277