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020 _a9789819601356
_9978-981-96-0135-6
024 7 _a10.1007/978-981-96-0135-6
_2doi
050 4 _aTA418.9.A-Z
072 7 _aTGMF
_2bicssc
072 7 _aTEC021000
_2bisacsh
072 7 _aTGMF
_2thema
100 1 _aWilson, Helen.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_990034
245 1 0 _aViscoelastic Subdiffusive Flows
_h[electronic resource] :
_bTheory and Computation /
_cby Helen Wilson, Sarthok Sircar, Priyanka Shukla.
250 _a1st ed. 2024.
264 1 _aSingapore :
_bSpringer Nature Singapore :
_bImprint: Springer,
_c2024.
300 _aXVIII, 171 p. 32 illus., 14 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aFluid Mechanics and Its Applications,
_x2215-0056 ;
_v138
505 0 _aIntroduction -- 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 _aThis 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.
650 0 _aSoft condensed matter.
_966723
650 0 _aContinuum mechanics.
650 0 _aMechanics, Applied.
650 1 4 _aFluids.
_967540
650 2 4 _aContinuum Mechanics.
650 2 4 _aEngineering Mechanics.
700 1 _aSircar, Sarthok.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_990035
700 1 _aShukla, Priyanka.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_990036
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9789819601349
776 0 8 _iPrinted edition:
_z9789819601363
776 0 8 _iPrinted edition:
_z9789819601370
830 0 _aFluid Mechanics and Its Applications,
_x2215-0056 ;
_v138
_935192
856 4 0 _uhttps://doi.org/10.1007/978-981-96-0135-6
912 _aZDB-2-PHA
912 _aZDB-2-SXP
999 _c66277
_d66277