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Asymptotics and numerics for non‐Newtonian jet dynamics

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)