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This model considers the Mittag-Leffler function instead of the usual linear or exponential functions of the trace of the stress tensor, and includes two new parameters that provide additional fitting flexibility. We derive a semi-analytical solution that provides a better understanding of the behaviour of this type of fluid in annular flows and also helps to improve the modelling of complex materials.<\/jats:p>","DOI":"10.1007\/s00707-023-03784-z","type":"journal-article","created":{"date-parts":[[2023,12,7]],"date-time":"2023-12-07T20:01:55Z","timestamp":1701979315000},"page":"1307-1317","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["Analytical study of the annular flow of a generalised Phan-Thien\u2013Tanner fluid"],"prefix":"10.1007","volume":"235","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-4863-2616","authenticated-orcid":false,"given":"A. 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