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dc.contributor.authorPiette, Jourdain H.
dc.contributor.authorSaengow, Chaimongkol
dc.contributor.authorGiacomin, A. Jeffrey
dc.date.accessioned2019-06-06T17:09:56Z
dc.date.available2019-06-06T17:09:56Z
dc.date.issued2018-12
dc.identifier.urihttp://hdl.handle.net/1974/26273
dc.description.abstractFrom kinetic molecular theory, we can attribute the rheological behaviors of polymeric liquids to macromolecular orientation. The simplest model to capture the orientation of macromolecules is the rigid dumbbell. For a suspension of rigid dumbbells, subject to any shear flow, for instance, we must first solve the diffusion equation for the orientation distribution function. From this distribution, we then calculate the first and second normal stress differences. To get reasonable results for the normal stress differences in steady shear flow, one must account for hydrodynamic interaction between the dumbbell beads. However, for the power series expansions for these normal stress differences, three series arise. The coefficients for two of these series, (ck,dk), are not known, not even approximately, beyond the second power of the shear rate. Analytical work on many viscoelastic material functions in shear flow must be checked for consistency, in their steady shear flow limits, against these normal stress differences power series expansions. For instance, for large-amplitude oscillatory shear flow (LAOS), we must recover the power series expansions in the limits of low frequency. In this work, for (ck,dk), we arrive at exact expressions for the first 18 coefficients.en_US
dc.language.isoenen_US
dc.relation.ispartofseriesPolymers Research Group Technical Report Series;QU-CHEE-PRG-TR--2018-53
dc.subjectRigid dumbbell suspensionsen_US
dc.subjectHydrodynamic interactionen_US
dc.subjectNormal stress differencesen_US
dc.subjectMacromolecular theoryen_US
dc.subjectElastic liquidsen_US
dc.subjectPolymer orientationen_US
dc.titleHydrodynamic Interaction for Rigid Dumbbell Suspensions in Steady Shear Flowen_US
dc.typetechnical reporten_US


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