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Converged solutions of the Newtonian extrudate-swell problem
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 eac...
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| Published in: | International journal for numerical methods in fluids 1999-02, Vol.29 (3), p.363-371 |
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| Language: | English |
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| container_end_page | 371 |
| container_issue | 3 |
| container_start_page | 363 |
| container_title | International journal for numerical methods in fluids |
| container_volume | 29 |
| creator | Georgiou, Georgios C. Boudouvis, Andreas G. |
| description | 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. Copyright © 1999 John Wiley & Sons, Ltd. |
| doi_str_mv | 10.1002/(SICI)1097-0363(19990215)29:3<363::AID-FLD792>3.0.CO;2-D |
| format | article |
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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. 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J. Numer. Meth. Fluids</addtitle><description>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. Copyright © 1999 John Wiley & Sons, Ltd.</description><subject>Applied fluid mechanics</subject><subject>Capillary flow</subject><subject>Computational methods in fluid dynamics</subject><subject>convergence</subject><subject>Convergence of numerical methods</subject><subject>Exact sciences and technology</subject><subject>extrudate-swell</subject><subject>Finite element method</subject><subject>Fluid dynamics</subject><subject>Fundamental areas of phenomenology (including applications)</subject><subject>Hydrodynamics, hydraulics, hydrostatics</subject><subject>Physics</subject><subject>Problem solving</subject><subject>Reynolds number</subject><subject>singular finite elements</subject><subject>Stress concentration</subject><subject>Surface tension</subject><subject>Swelling</subject><issn>0271-2091</issn><issn>1097-0363</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1999</creationdate><recordtype>article</recordtype><recordid>eNqFkFFP2zAUha2JSSts_yEPkwYPKdd2EscdQqAUWKWKPoxpqC9XTnoDYWnC7HSFfz9H6eBhk_Zk6ej4O1cfY2ccxhxAHB9-nWWzIw5ahSATeci11iB4fCT0RJ74ZDI5n03Dy_lUaXEqxzDOFp9FOH3DRi-f9tgIhOKhAM3fsX3nHgBAi1SO2EnWNr_I3tEqcG296aq2cUFbBt09Bde07dqmMk1AT53drExHodtSXQePts1rWr9nb0tTO_qwew_Yt8uLm-xLOF9czbLzeVhEPBF-lighTqlZJZHQZQzRKictuMiNimWZClmAUlrFkZR5LClVmgzPTax4WhglD9inget3f27IdbiuXOEPMQ21G4cqihTEQkS-eTs0C9s6Z6nER1utjX1GDtj7ROx9Yq8GezX4xycKjRL7BL1PHHz6BDBboMCpR3_cHWFcYerSmqao3Cs_SaQC7mvLobatanr-a_6_6_8c3yUeHg7wynX09AI39gcmSqoYv19f4VLLbHkjl3grfwPotqRO</recordid><startdate>19990215</startdate><enddate>19990215</enddate><creator>Georgiou, Georgios C.</creator><creator>Boudouvis, Andreas G.</creator><general>John Wiley & Sons, Ltd</general><general>Wiley</general><scope>BSCLL</scope><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7TC</scope></search><sort><creationdate>19990215</creationdate><title>Converged solutions of the Newtonian extrudate-swell problem</title><author>Georgiou, Georgios C. ; Boudouvis, Andreas G.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c4162-20ee6e1e8ad6429f504dbe9212ba753f823c077975433b53e879ea1ba5718ca73</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1999</creationdate><topic>Applied fluid mechanics</topic><topic>Capillary flow</topic><topic>Computational methods in fluid dynamics</topic><topic>convergence</topic><topic>Convergence of numerical methods</topic><topic>Exact sciences and technology</topic><topic>extrudate-swell</topic><topic>Finite element method</topic><topic>Fluid dynamics</topic><topic>Fundamental areas of phenomenology (including applications)</topic><topic>Hydrodynamics, hydraulics, hydrostatics</topic><topic>Physics</topic><topic>Problem solving</topic><topic>Reynolds number</topic><topic>singular finite elements</topic><topic>Stress concentration</topic><topic>Surface tension</topic><topic>Swelling</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Georgiou, Georgios C.</creatorcontrib><creatorcontrib>Boudouvis, Andreas G.</creatorcontrib><collection>Istex</collection><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Mechanical Engineering Abstracts</collection><jtitle>International journal for numerical methods in fluids</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Georgiou, Georgios C.</au><au>Boudouvis, Andreas G.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Converged solutions of the Newtonian extrudate-swell problem</atitle><jtitle>International journal for numerical methods in fluids</jtitle><addtitle>Int. J. Numer. Meth. Fluids</addtitle><date>1999-02-15</date><risdate>1999</risdate><volume>29</volume><issue>3</issue><spage>363</spage><epage>371</epage><pages>363-371</pages><issn>0271-2091</issn><eissn>1097-0363</eissn><coden>IJNFDW</coden><notes>ark:/67375/WNG-Z93CZT3Z-X</notes><notes>ArticleID:FLD792</notes><notes>istex:B5B7A80EB5BD14EA5E5E542974FACA236F53574C</notes><notes>ObjectType-Article-2</notes><notes>SourceType-Scholarly Journals-1</notes><notes>ObjectType-Feature-1</notes><notes>content type line 23</notes><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. Copyright © 1999 John Wiley & Sons, Ltd.</abstract><cop>Chichester, UK</cop><pub>John Wiley & Sons, Ltd</pub><doi>10.1002/(SICI)1097-0363(19990215)29:3<363::AID-FLD792>3.0.CO;2-D</doi><tpages>9</tpages></addata></record> |
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| identifier | ISSN: 0271-2091 |
| ispartof | International journal for numerical methods in fluids, 1999-02, Vol.29 (3), p.363-371 |
| issn | 0271-2091 1097-0363 |
| language | eng |
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| source | Wiley |
| subjects | Applied fluid mechanics Capillary flow Computational methods in fluid dynamics convergence Convergence of numerical methods Exact sciences and technology extrudate-swell Finite element method Fluid dynamics Fundamental areas of phenomenology (including applications) Hydrodynamics, hydraulics, hydrostatics Physics Problem solving Reynolds number singular finite elements Stress concentration Surface tension Swelling |
| title | Converged solutions of the Newtonian extrudate-swell problem |
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