{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,15]],"date-time":"2026-01-15T13:22:06Z","timestamp":1768483326149,"version":"3.49.0"},"reference-count":30,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2022,1,14]],"date-time":"2022-01-14T00:00:00Z","timestamp":1642118400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001871","name":"Funda\u00e7\u00e3o para a Ci\u00eancia e Tecnologia","doi-asserted-by":"publisher","award":["UID\/Multi\/04621\/2020 of CEMAT\/IST-ID"],"award-info":[{"award-number":["UID\/Multi\/04621\/2020 of CEMAT\/IST-ID"]}],"id":[{"id":"10.13039\/501100001871","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001824","name":"Czech Science Foundation","doi-asserted-by":"publisher","award":["P201-19-04243S"],"award-info":[{"award-number":["P201-19-04243S"]}],"id":[{"id":"10.13039\/501100001824","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Fluids"],"abstract":"<jats:p>This paper presents a numerical comparison of viscoelastic shear-thinning fluid flow using a generalized Oldroyd-B model and Johnson\u2013Segalman model under various settings. Results for the standard shear-thinning generalization of Oldroyd-B model are used as a reference for comparison with those obtained for the same flow cases using Johnson\u2013Segalman model that has specific adjustment of convected derivative to assure shear-thinning behavior. The modeling strategy is first briefly described, pointing out the main differences between the generalized Oldroyd-B model (using the Cross model for shear-thinning viscosity) and the Johnson\u2013Segalman model operating in shear-thinning regime. Then, both models are used for blood flow simulation in an idealized stenosed axisymmetric vessel under different flow rates for various model parameters. The simulations are performed using an in-house numerical code based on finite-volume discretization. The obtained results are mutually compared and discussed in detail, focusing on the qualitative assessment of the most distinct flow field differences. It is shown that despite all models sharing the same asymptotic viscosities, the behavior of the Johnson\u2013Segalman model can be (depending on flow regime) quite different from the predictions of the generalized Oldroyd-B model.<\/jats:p>","DOI":"10.3390\/fluids7010036","type":"journal-article","created":{"date-parts":[[2022,1,14]],"date-time":"2022-01-14T12:34:04Z","timestamp":1642163644000},"page":"36","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":15,"title":["Analysis of the Shear-Thinning Viscosity Behavior of the Johnson\u2013Segalman Viscoelastic Fluids"],"prefix":"10.3390","volume":"7","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2991-8467","authenticated-orcid":false,"given":"Tom\u00e1\u0161","family":"Bodn\u00e1r","sequence":"first","affiliation":[{"name":"Department of Technical Mathematics, Faculty of Mechanical Engineering, Czech Technical University in Prague, Karlovo n\u00e1m\u011bst\u00ed 13, 121 35 Prague 2, Czech Republic"},{"name":"Institute of Mathematics, Czech Academy of Sciences, \u017ditn\u00e1 25, 115 67 Prague 1, Czech Republic"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4216-6960","authenticated-orcid":false,"given":"Ad\u00e9lia","family":"Sequeira","sequence":"additional","affiliation":[{"name":"Department of Mathematics and CEMAT, Instituto Superior T\u00e9cnico, University of Lisbon, Av. Rovisco Pais, 1049-001 Lisbon, Portugal"}]}],"member":"1968","published-online":{"date-parts":[[2022,1,14]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Truesdell, C., and Noll, W. (1965). The Non-Linear Field Theories of Mechanics. Encyclopedia of Physics, Springer.","DOI":"10.1007\/978-3-642-46015-9_1"},{"key":"ref_2","unstructured":"Bird, R., Armstrong, R., and Hassager, O. (1987). Dynamics of Polymeric Liquids, John Wiley & Sons."},{"key":"ref_3","unstructured":"Schowalter, W. (1978). Mechanics of Non-Newtonian Fluids, Pergamon Press."},{"key":"ref_4","first-page":"129","article-title":"Mechanics of non-Newtonian fluids","volume":"Volume 291","author":"Galdi","year":"1993","journal-title":"Recent Developments in Theoretical Fluid Mechanics"},{"key":"ref_5","unstructured":"Truesdell, C., and Rajagopal, K. (2010). An Introduction to the Mechanics of Fluids, Springer Science & Business Media."},{"key":"ref_6","unstructured":"Boger, D., and Walters, K. 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