Show simple item record

dc.contributor.authorPoungthong, P.
dc.contributor.authorSaengow, Chaimongkol
dc.contributor.authorGiacomin, A. Jeffrey
dc.contributor.authorKolitawong, Chanyut
dc.date.accessioned2019-04-03T14:51:20Z
dc.date.available2019-04-03T14:51:20Z
dc.date.issued2018-04
dc.identifier.urihttp://hdl.handle.net/1974/26080
dc.description.abstractxact solutions for shear stress in a polymeric liquid subjected to large-amplitude oscillatory shear flow (LAOS) contain many Bessel functions. For the simplest of these, for instance, the corotational Maxwell fluid, in the closed form for its exact solution, Bessel functions appear 42 times, each of which is inside a summation. Approximate analytical solutions for shear stress in LAOS often take the form of the first few terms of a power series in the shear rate amplitude, and without any Bessel functions at all. There is thus practical interest in extending the GIE, to an arbitrary number of terms. In continuum theory, these truncated series are arrived laboriously using the Goddard integral expansion (GIE). However, each term in the GIE requires much more work than its predecessor. For the corotational Maxwell fluid, for instance, the GIE for the shear stress has yet to be taken beyond the sixth power of the shear rate amplitude. In this paper, we begin with the exact solution for shear stress responses in corotational Maxwell fluids, and then perform an expansion by symbolic computation to confirm up to the sixth power, and to then continue the GIE. In this paper for example, we continue the GIE to the 40th power of the shear rate amplitude. We use Ewoldt grids to show our main result to be highly accurate. We also show the radius of convergence of the GIE to be an infinite.en_US
dc.language.isoenen_US
dc.relation.ispartofseriesPolymers Research Group Technical Report Series;QU-CHEE-PRG-TR-2018-41
dc.subjectLarge-amplitude oscillatory shearen_US
dc.subjectLAOSen_US
dc.subjectCorotational Maxwell fluiden_US
dc.subjectHigher harmonicsen_US
dc.subjectTaylor series expansionen_US
dc.titlePower Series for Shear Stress of Polymeric Liquid in Large-Amplitude Oscillatory Shear Flowen_US
dc.typetechnical reporten_US


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record