Padé Approximants for Large-Amplitude Oscillatory Shear Flow

dc.contributor.authorGiacomin, A. Jeffreyen
dc.contributor.authorSaengow, Chaimongkolen
dc.contributor.authorGuay, Martinen
dc.contributor.authorKolitawong, Chanyuten
dc.date.accessioned2015-03-17T14:41:25Z
dc.date.available2015-03-17T14:41:25Z
dc.date.issued2015-03-17
dc.description.abstractAnalytical solutions for either the shear stress or the normal stress differences in large-amplitude oscillatory shear flow, both for continuum or molecular models, often take the form of the first few terms of a power series in the shear rate amplitude. Here we explore improving the accuracy of these truncated series by replacing them with ratios of polynomials. Specifically, we examine replacing the truncated series solution for the corotational Maxwell model with its Padé approximants for the shear stress response, and for the normal stress differences. We find these Padé approximants to agree closely with the corresponding exact solution, and that, in this way, we learn that in this way, one can nearly eliminate the inaccuracies of the truncated expansions.en
dc.identifier.urihttp://hdl.handle.net/1974/12781
dc.language.isoenen
dc.relation.ispartofseriesPolymers Research Group Technical Report Seriesen
dc.relation.ispartofseriesQU-CHEE-PRG-TR--2014-9en
dc.subjectLarge-amplitude oscillatory shear flowen
dc.subjectLAOSen
dc.subjectPadé approximantsen
dc.subjectCorotational Maxwell fluidsen
dc.titlePadé Approximants for Large-Amplitude Oscillatory Shear Flowen
dc.typetechnical reporten
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