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The fluid behaviour is described by the recently proposed viscoelastic model, known as the generalised simplified Phan\u2010Thien\u2010Tanner constitutive equation, that considers the Mittag\u2010Leffler function instead of the classical linear and exponential functions of the trace of the stress tensor, and provides one or two new fitting constants in order to achieve additional fitting flexibility. The solutions derived in this work allow a better understanding of the model and its influence on the slippery behaviour of some complex fluids, contributing in this way to improve the modeling of complex\u00a0fluids.<\/jats:p>","DOI":"10.1002\/zamm.201900183","type":"journal-article","created":{"date-parts":[[2020,1,25]],"date-time":"2020-01-25T05:11:18Z","timestamp":1579929078000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["Analytical and numerical studies for slip flows of a generalised Phan\u2010Thien\u2013Tanner fluid"],"prefix":"10.1002","volume":"100","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-4863-2616","authenticated-orcid":false,"given":"A. M.","family":"Ribau","sequence":"first","affiliation":[{"name":"Centro de Estudos de Fen\u00f3menos de Transporte Departamento de Engenharia Mec\u00e2nica Faculdade de Engenharia da Universidade do Porto Rua Dr. Roberto Frias, s\/n 4200\u2010465 Porto Portugal"}]},{"given":"L. L.","family":"Ferr\u00e1s","sequence":"additional","affiliation":[{"name":"Centro de Matem\u00e1tica &amp; Departamento de matem\u00e1tica da Universidade do Minho Campus de Azur\u00e9m 4800\u2010058 Guimar\u00e3es Portugal"}]},{"given":"M. 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