On an asymptotic upper-convected Maxwell model for a viscoelastic jet

In this work we present a strict systematic derivation of a one-dimensional upper convected Maxwell model (UCM) for the dynamics of a curved viscoelastic jet using asymptotic analysis in the slenderness ratio of the jet. The model does not pose any restrictions on shape and motion of the center-line or the velocity profile. Numerical results are shown for stationary gravitational fiber spinning.