Die-swell, splashing drop and a numerical technique for solving the Oldroyd B model for axisymmetric free surface flows

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• 作者：M.F. Tomé ; L. Grossi ; A. Castelo ; J.A. Cuminato ; S. McKee ; K. Walters
• 关键词：Viscoelastic flow ; Oldroyd B ; Constitutive equations ; Finite difference ; Axisymmetric flow ; Die-swell ; Splashing drop
• 刊名：Journal of Non-Newtonian Fluid Mechanics
• 出版年：2007
• 出版时间：15 February 2007
• 年：2007
• 卷：141
• 期：2-3
• 页码：148-166
• 全文大小：1649 K

文摘

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.