Re-entrant corner behavior of the PTT fluid |
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| Institution: | 1. Institute of Non-Newtonian Fluid Mechanics, College of Engineering, Swansea University, Bay Campus, Fabian Way, Swansea SA1 8EN, United Kingdom;2. Instituto de Investigaciones en Materiales, UNAM, 04510, Mexico;1. MINES ParisTech, PSL Research University, Centre for Material Forming (CEMEF), CNRS UMR 7635, CS 10207 rue Claude Daunesse, Sophia-Antipolis CEDEX 06904, France;2. Department of Mechanical Engineering, COPPE, Universidade Federal do Rio de Janeiro, Centro de Técnologia, Ilha do Fundão, Rio de Janeiro, RJ 24210-240, Brazil;3. Univ. Lille, ULR 7512 - Unité de Mécanique de Lille Joseph Boussinesq (UML), F-59000 Lille, France;1. State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan 430072, China;2. College of Ocean, Earth and Environment, University of Delaware, Newark, Delaware 19716, USA |
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| Abstract: | We integrate the constitutive equation of the Phan-Thien-Tanner (PTT) fluid near a re-entrant 270° corner. The velocity field is assumed given (Newtonian). In contrast to the case of the upper convected Maxwell (UCM) fluid, we find the following features: (1) The elastic stresses near the corner are less singular than Newtonian stresses; (2) Boundary layers near the walls are much less sharp than for the UCM fluid; (3) There are no spurious stresses due to downstream instabilities. |
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