Converged solutions of the Newtonian extrudate-swell problem

Georgiou, GC; Boudouvis, AG

dc.contributor.author	Georgiou, GC	en
dc.contributor.author	Boudouvis, AG	en
dc.date.accessioned	2014-03-01T01:14:28Z
dc.date.available	2014-03-01T01:14:28Z
dc.date.issued	1999	en
dc.identifier.issn	0271-2091	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/13094
dc.subject	Convergence	en
dc.subject	Extrudate-swell	en
dc.subject	Singular finite elements	en
dc.subject.classification	Computer Science, Interdisciplinary Applications	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.classification	Mechanics	en
dc.subject.classification	Physics, Fluids & Plasmas	en
dc.subject.other	Capillary flow	en
dc.subject.other	Convergence of numerical methods	en
dc.subject.other	Finite element method	en
dc.subject.other	Problem solving	en
dc.subject.other	Reynolds number	en
dc.subject.other	Stress concentration	en
dc.subject.other	Surface tension	en
dc.subject.other	Swelling	en
dc.subject.other	Capillary number	en
dc.subject.other	Stress singularity	en
dc.subject.other	Newtonian flow	en
dc.subject.other	extrusion	en
dc.subject.other	finite element method	en
dc.subject.other	Newtonian fluid	en
dc.subject.other	viscous fluid	en
dc.title	Converged solutions of the Newtonian extrudate-swell problem	en
heal.type	journalArticle	en
heal.identifier.primary	10.1002/(SICI)1097-0363(19990215)29:3<363::AID-FLD792>3.0.CO;2-D	en
heal.identifier.secondary	http://dx.doi.org/10.1002/(SICI)1097-0363(19990215)29:3<363::AID-FLD792>3.0.CO;2-D	en
heal.language	English	en
heal.publicationDate	1999	en
heal.abstract	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.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
heal.publisher	John Wiley & Sons Ltd, Chichester, United Kingdom	en
heal.journalName	International Journal for Numerical Methods in Fluids	en
dc.identifier.doi	10.1002/(SICI)1097-0363(19990215)29:3<363::AID-FLD792>3.0.CO;2-D	en
dc.identifier.isi	ISI:000078525700006	en
dc.identifier.volume	29	en
dc.identifier.issue	3	en
dc.identifier.spage	363	en
dc.identifier.epage	371	en