On Viscoelastic Fiber Spinning: Die Swell Effect in the 1D Uniaxial UCM Model

This work deals with a stationary viscoelastic jet under gravitational forces described by an upper convected Maxwell (UCM) model. For spinning processes we demonstrate that a die swell-like behavior of the solution is in general possible for the asymptotically derived one-dimensional model equations. Nevertheless, to use the model for the prediction of a die swell appropriate boundary conditions or the inclusion of further effects such as surface tension have to be considered. Moreover, the regime of existence of solutions for drawing processes is determined numerically.