Comparison Of Flow Birefringence Data with A Numerical-Simulation Of The Hole Pressure

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dc.contributorVirginia Techen
dc.contributor.authorBaird, Donald G.en
dc.contributor.authorRead, M. D.en
dc.contributor.authorReddy, Junuthula N.en
dc.contributor.departmentBiomedical Engineering and Mechanicsen
dc.contributor.departmentChemical Engineeringen
dc.date.accessed2014-03-11en
dc.date.accessioned2014-03-26T17:35:15Zen
dc.date.available2014-03-26T17:35:15Zen
dc.date.issued1988-08-01en
dc.description.abstractThe penalty_Galerkin finite_element method is used to simulate the flow of a polystyrene melt over a rectangular slot placed perpendicular to the flow direction. The White_Metzner constitutive equation is used with a Carreau model viscosity function and a shear rate_dependent relaxation time defined so that the primary normal stress difference is exactly reproduced by the model in simple shear flow. Values of the stress field predicted by the simulation are compared with those obtained experimentally by means of flowbirefringence. As observed by others, the limiting elasticity value as determined by the Weissenberg number (We) for convergence of the algorithm decreased with increased refinement of the mesh. However, good agreement is still found between predicted values of stress using the coarse mesh and those measured by means of flowbirefringence. This work suggests that there may be an optimum mesh for a given flow and constitutive equation which will still give physically realistic results. The Weissenberg number for the melt used in the experimental study asymptotically approached a value of about 1.5 with increasing shear stress, suggesting that it may not be necessary to reach excessively high values of We for simulations involving some polymer melts.en
dc.description.sponsorshipPetroleum Research Fund PRF 16119-AC7-Cen
dc.description.sponsorshipCenter for Innovative Technology MAT-85-007en
dc.identifier.citationJ. Rheol. 32, 621 (1988); http://dx.doi.org/10.1122/1.549983en
dc.identifier.doihttps://doi.org/10.1122/1.549983en
dc.identifier.issn0148-6055en
dc.identifier.urihttp://hdl.handle.net/10919/46800en
dc.identifier.urlhttp://scitation.aip.org/content/sor/journal/jor2/32/6/10.1122/1.549983en
dc.language.isoen_USen
dc.publisherAIP Publishingen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.titleComparison Of Flow Birefringence Data with A Numerical-Simulation Of The Hole Pressureen
dc.title.serialJournal of Rheologyen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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