Die-swell,splashing drop and a numerical technique for solving the Oldroyd B model for axisymmetric free surface flows |
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| Affiliation: | 1. Depto. de Ciência da Computação e Estatística ICMC, USP de São Carlos, SP, Brazil;2. Department of Mathematics, University of Strathclyde, Glasgow, UK;3. Institute of Mathematical and Physical Sciences, University of Wales, Aberystwyth, UK;1. Department of Chemical Engineering, Indian Institute of Technology Hyderabad, Yeddumailaram, Andhra Pradesh 502205, India;2. Department of Civil and Environmental Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA;1. Department of Chemistry and Industrial Chemistry, University of Genoa, Via Dodecaneso 31, 16146, Genova , Italy;2. POLYMAT and Polymer Science and Technology Department, Faculty of Chemistry, University of the Basque Country UPV/EHU, Paseo Manuel de Lardizábal, 3, 20018 Donostia-San Sebastián, Spain;3. Universidad Simón Bolívar, Departamento de Mecánica, Grupo de Polímeros, Apartado 89000, Caracas 1080-A, Venezuela;4. IKERBASQUE, Basque Foundation for Science, Bilbao, Spain;5. School of Mathematical Sciences, University of Nottingham, Nottingham NG7 2RD, UK;6. School of Mathematics & Physics, University of Lincoln, Lincoln LN6 7TS, UK |
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| Abstract: | This work deals with the development of a numerical method for simulating viscoelastic axisymmetric free surface flow of an Oldroyd B fluid. A novel formulation is developed for the computation of the non-Newtonian extra-stress components on rigid boundaries and on the symmetry axis. The full free surface stress conditions are employed. The resulting governing equations are solved by finite differences on a Marker-and-cell (MAC) type grid. Validation is provided by simulating a pipe flow problem. The classical die-swell problem is solved and swelling ratios are provided. The height of the splash caused by a falling liquid drop for various Reynolds and Weissenberg numbers is then studied, and the height of the splash is shown to diminish with increasing viscoelasticity. |
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