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dc.contributor.authorRenardy, Yuriko Y.en
dc.contributor.authorRenardy, Michael J.en
dc.date.accessioned2018-01-15T12:29:38Zen
dc.date.available2018-01-15T12:29:38Zen
dc.date.issued2018-01-10en
dc.identifier.urihttp://hdl.handle.net/10919/81779en
dc.description.abstractA singular perturbation analysis for the Rolie-Poly model is presented for the limit of large relaxation time. The model describes entangled linear polymer melts and time scales for a Rouse time and reptation time. First, the case of the Rouse time approaching zero, is named the nonstretching model, and the addition of a solvent model gives the small parameter to be the ratio of the retardation time to the slow reptation time. This analysis is instructive in formulating the perturbation analysis for the full Rolie-Poly model without the solvent, where the small parameter is the ratio of Rouse time to reptation time. The resulting formulae elucidate the characteristic features of thixotropic yield stress fluids, including yield stress hysteresis, delayed yielding and long term persistence of a decreased viscosity after cessation of flow. Two fundamental initial value problems are solved: startup of shear flow and cessation of shear ow. The scalings lead naturally to simplified dynamical systems that describe regimes of fast, slow and yielded dynamics, and show how the combination of these regimes can be used to describe the entire flow evolution.en
dc.publisherElsevieren
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectRolie-Poly modelen
dc.subjectthixotropic yield stress fluiden
dc.subjectsingular perturbationen
dc.titleA singular perturbation study of the Rolie-Poly modelen
dc.typeArticle - Refereeden
dc.description.versionSubmitted (Publication status)en
dc.contributor.departmentMathematicsen
dc.title.serialJournal of Non-Newtonian Fluid Mechanicsen
dc.identifier.orcidRenardy, Yuriko Y. [0000-0002-4935-5027]en
pubs.organisational-group/Virginia Techen
pubs.organisational-group/Virginia Tech/All T&R Facultyen
pubs.organisational-group/Virginia Tech/Scienceen
pubs.organisational-group/Virginia Tech/Science/COS T&R Facultyen
pubs.organisational-group/Virginia Tech/Science/Mathematicsen


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