{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,18]],"date-time":"2026-03-18T02:25:12Z","timestamp":1773800712117,"version":"3.50.1"},"reference-count":26,"publisher":"AIP Publishing","issue":"5","funder":[{"name":"Funda\u00e7\u00e3o para a Ci\u00eancia e tecnologia","award":["PTDC\/EME-MFE\/113988\/2009"],"award-info":[{"award-number":["PTDC\/EME-MFE\/113988\/2009"]}]},{"name":"Funda\u00e7\u00e3o para a Ci\u00eancia e tecnologia","award":["PTDC\/EQU-FTT\/70727\/2006"],"award-info":[{"award-number":["PTDC\/EQU-FTT\/70727\/2006"]}]},{"name":"Funda\u00e7\u00e3o para a Ci\u00eancia e Tecnologia","award":["PTDC\/EQUFTT\/113811\/2009"],"award-info":[{"award-number":["PTDC\/EQUFTT\/113811\/2009"]}]},{"name":"Funda\u00e7\u00e3o para a Ci\u00eancia e tecnologia","award":["SFRH\/BPD\/100353\/2014"],"award-info":[{"award-number":["SFRH\/BPD\/100353\/2014"]}]}],"content-domain":{"domain":["pubs.aip.org"],"crossmark-restriction":true},"short-container-title":[],"published-print":{"date-parts":[[2017,5,1]]},"abstract":"<jats:p>This work describes a theoretical and numerical investigation of viscoelastic fluid flows, considering slip boundary conditions. The viscoelastic fluid is described by the simplified Phan-Thien-Tanner model, and the governing equations with slip boundary conditions are solved by a finite volume method using (1) a recently proposed methodology to control the growth of the slip velocity along the iterative process (named the SIMPLE-slip method) where some simplifications are assumed at the wall, and also (2) a slip formulation where the complete stress tensor at the wall is taken into account. Analytical and semi-analytical solutions are also provided for the fully developed flow between parallel plates of viscoelastic fluids, assuming Thomson and Troian and Lau and Schowalter non-linear wall slip models. For verification purposes, the numerical results were compared with the analytical solution for fully developed slip-flow in a planar channel using two non-linear slip models. Simulations were carried out in a classical benchmark problem in computational rheology, the viscoelastic fluid flow in a slip-stick geometry, aiming to identify the influence of slip intensity on the flow patterns, velocity, and stress growth at the singularity region.<\/jats:p>","DOI":"10.1063\/1.4983062","type":"journal-article","created":{"date-parts":[[2017,5,18]],"date-time":"2017-05-18T14:29:32Z","timestamp":1495117772000},"update-policy":"https:\/\/doi.org\/10.1063\/aip-crossmark-policy-page","source":"Crossref","is-referenced-by-count":27,"title":["A numerical and theoretical study on viscoelastic fluid slip flows"],"prefix":"10.1063","volume":"29","author":[{"given":"L. L.","family":"Ferr\u00e1s","sequence":"first","affiliation":[{"name":"University of Minho 1 Institute for Polymers and Composites\/I3N, , Campus de Azur\u00e9m 4800-058 Guimar\u00e3es, Portugal"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2825-0709","authenticated-orcid":false,"given":"A. M.","family":"Afonso","sequence":"additional","affiliation":[{"name":"Faculdade de Engenharia da Universidade do Porto 2 Departamento de Engenharia Mec\u00e2nica, Centro de Estudos de Fen\u00f3menos de Transporte, , Rua Dr. Roberto Frias s\/n, 4200-465 Porto, Portugal"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5303-6467","authenticated-orcid":false,"given":"J. M.","family":"N\u00f3brega","sequence":"additional","affiliation":[{"name":"University of Minho 1 Institute for Polymers and Composites\/I3N, , Campus de Azur\u00e9m 4800-058 Guimar\u00e3es, Portugal"}]},{"given":"F. T.","family":"Pinho","sequence":"additional","affiliation":[{"name":"Faculdade de Engenharia da Universidade do Porto 2 Departamento de Engenharia Mec\u00e2nica, Centro de Estudos de Fen\u00f3menos de Transporte, , Rua Dr. Roberto Frias s\/n, 4200-465 Porto, Portugal"}]}],"member":"317","published-online":{"date-parts":[[2017,5,18]]},"reference":[{"issue":"11","key":"2023070122581540200_c1","doi-asserted-by":"publisher","first-page":"836","DOI":"10.1002\/mame.200290013","article-title":"Global concept for describing and investigation of wall slip effects in the extrusion process","volume":"287","year":"2002","journal-title":"Macromol. Mater. Eng."},{"key":"2023070122581540200_c2","doi-asserted-by":"publisher","first-page":"418","DOI":"10.1007\/s00397-004-0423-2","article-title":"The effect of slip in the flow of a branched PP melt: Experiments and simulations","volume":"44","year":"2005","journal-title":"Rheol. 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