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dc.contributor.authorGeorgiou, Georgios C.en
dc.contributor.authorBoudouvis, Andreas G.en
dc.creatorGeorgiou, Georgios C.en
dc.creatorBoudouvis, Andreas G.en
dc.date.accessioned2019-12-02T10:35:15Z
dc.date.available2019-12-02T10:35:15Z
dc.date.issued1999
dc.identifier.urihttp://gnosis.library.ucy.ac.cy/handle/7/56854
dc.description.abstractBoth the axisymmetric and the planar Newtonian extrudate-swell problems are solved using the standard and the singular finite element methods. In the latter method, special elements that incorporate the radial form of the stress singularity are used around the exit of the die. The convergence of each of the two methods with mesh refinement is studied for various values of the Reynolds and the capillary numbers. The numerical results show that the singular finite elements perform well if coarse or moderately refined meshes are used, and appear to be superior to the standard finite elements only when the Reynolds number is low and the surface tension is not large. The standard finite elements perform better as the surface tension or the Reynolds number are increased. This implies that the effect of the stress singularity on the accuracy of the numerical solution in the neighborhood of the die exit becomes less significant when the Reynolds number is high or the surface tension is large. Both the axisymmetric and the planar Newtonian extrudate-swell problems are solved using the standard and the singular finite element methods. In the latter method, special elements that incorporate the radial form of the stress singularity are used around the exit of the die. The convergence of each of the two methods with mesh refinement is studied for various values of the Reynolds and the capillary numbers. The numerical results show that the singular finite elements perform well if coarse or moderately refined meshes are used, and appear to be superior to the standard finite elements only when the Reynolds number is low and the surface tension is not large. The standard finite elements perform better as the surface tension or the Reynolds number are increased. This implies that the effect of the stress singularity on the accuracy of the numerical solution in the neighborhood of the die exit becomes less significant when the Reynolds number is high or the surface tension is large.en
dc.sourceInternational Journal for Numerical Methods in Fluidsen
dc.source.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-0033557710&doi=10.1002%2f%28SICI%291097-0363%2819990215%2929%3a3%3c363%3a%3aAID-FLD792%3e3.0.CO%3b2-D&partnerID=40&md5=017600b055418c1c4d6afd2738375fee
dc.subjectProblem solvingen
dc.subjectConvergenceen
dc.subjectConvergence of numerical methodsen
dc.subjectFinite element methoden
dc.subjectReynolds numberen
dc.subjectSwellingen
dc.subjectCapillary flowen
dc.subjectNewtonian flowen
dc.subjectSurface tensionen
dc.subjectCapillary numberen
dc.subjectExtrudate-swellen
dc.subjectextrusionen
dc.subjectNewtonian fluiden
dc.subjectSingular finite elementsen
dc.subjectStress concentrationen
dc.subjectStress singularityen
dc.subjectviscous fluiden
dc.titleConverged solutions of the Newtonian extrudate-swell problemen
dc.typeinfo:eu-repo/semantics/article
dc.identifier.doi10.1002/(SICI)1097-0363(19990215)29:3<363
dc.description.volume29
dc.description.issue3
dc.description.startingpage363
dc.description.endingpage371
dc.author.facultyΣχολή Θετικών και Εφαρμοσμένων Επιστημών / Faculty of Pure and Applied Sciences
dc.author.departmentΤμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics
dc.type.uhtypeArticleen
dc.description.notes<p>Cited By :22</p>en
dc.source.abbreviationInt.J.Numer.Methods Fluidsen
dc.contributor.orcidBoudouvis, Andreas G. [0000-0001-6651-7318]
dc.contributor.orcidGeorgiou, Georgios C. [0000-0002-7451-224X]
dc.gnosis.orcid0000-0001-6651-7318
dc.gnosis.orcid0000-0002-7451-224X


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