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dc.contributor.authorStephanou, Pavlos S.-
dc.date.accessioned2023-04-17T18:53:43Z-
dc.date.available2023-04-17T18:53:43Z-
dc.date.issued2023-02-
dc.identifier.citationJournal of Non-Newtonian Fluid Mechanics, 2023, vol. 312, articl. no. 104966en_US
dc.identifier.issn18732631-
dc.identifier.urihttps://hdl.handle.net/20.500.14279/29037-
dc.description.abstractSince its introduction, back in the late 1970s, by Gordon and Schowalter (GS) and later by Johnson and Segalman (JS), the non-affine or slip parameter, ξ, has been routinely employed by numerous constitutive models. Its use results in spurious oscillations in the transient shear viscosity in start-up shear flow. Recent experimental evidence has shown that such an oscillatory behavior does occurs in polymer solutions under start-up shear, at least for the transient shear viscosity. In the present work, we aim to quantify this oscillatory behavior by providing the analytical solution of the GS-JS model, which we derive here in its entirety using the matrix exponential method. The oscillatory behavior of the model solutions stems directly from the fact that the matrix of which we take the exponential bears complex eigenvalues. Although this simple model is unable to compare favorably against the full spectrum of experimental rheological data, the analytical solution provided herein can improve our understanding of the transient behavior of concentrated polymer solutions.en_US
dc.formatpdfen_US
dc.language.isoenen_US
dc.relation.ispartofJournal of Non-Newtonian Fluid Mechanicsen_US
dc.rights© Elsevieren_US
dc.subjectAnalytical solutionen_US
dc.subjectMatrix exponentialen_US
dc.subjectOscillatory behavioren_US
dc.subjectNon-affine parameteren_US
dc.subjectGordon-Schowalter modelen_US
dc.subjectJohnson-Segalman modelen_US
dc.subjectViscosity undershooten_US
dc.titleQuantifying the oscillatory behavior in start-up shear by analytically solving the Johnson-Segalman/Gordon-Schowalter modelen_US
dc.typeArticleen_US
dc.collaborationCyprus University of Technologyen_US
dc.subject.categoryChemical Engineeringen_US
dc.journalsSubscriptionen_US
dc.countryCyprusen_US
dc.subject.fieldEngineering and Technologyen_US
dc.publicationPeer Revieweden_US
dc.identifier.doi10.1016/j.jnnfm.2022.104966en_US
dc.identifier.scopus2-s2.0-85145201614-
dc.identifier.urlhttps://api.elsevier.com/content/abstract/scopus_id/85145201614-
dc.relation.volume312en_US
cut.common.academicyear2022-2023en_US
item.fulltextNo Fulltext-
item.languageiso639-1en-
item.grantfulltextnone-
item.openairecristypehttp://purl.org/coar/resource_type/c_6501-
item.cerifentitytypePublications-
item.openairetypearticle-
crisitem.journal.journalissn0377-0257-
crisitem.journal.publisherElsevier-
crisitem.author.deptDepartment of Chemical Engineering-
crisitem.author.facultyFaculty of Geotechnical Sciences and Environmental Management-
crisitem.author.orcid0000-0003-3182-0581-
crisitem.author.parentorgFaculty of Geotechnical Sciences and Environmental Management-
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