Asymptotics and numerics for non-Newtonian jet dynamics |
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| Authors: | Maike Lorenz Nicole Marheineke Raimund Wegener |
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| Affiliation: | 1. Friedrich-Alexander-Universität Nürnberg-Erlangen, Department Mathematik, Cauerstr. 11, D-91058 Erlangen;2. Fraunhofer Institut für Techno- und Wirtschaftsmathematik, Fraunhofer Platz 1, D-67663 Kaiserslautern |
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| Abstract: | This work deals with the modeling and simulation of non-Newtonian jet dynamics. Proceeding from a 3d boundary value problem of upper-convected Maxwell equations, a 1d viscoelastic string model can be derived asymptotically. The resulting system of PDEs has a hyperbolic-elliptic character with an additional differential constraint. Its applicability regime is limited depending on physical parameters and boundary conditions. Numerical results are shown for gravitational in-/outflow set-ups. (© 2013 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim) |
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