Asymptotic model for the dynamics of curved viscous jets with surface tension
N. Marheineke (TU Kaiserslautern, Germany)
In this work, we derive and investigate an asymptotic model for the dynamics of curved viscous inertial Newtonian fibers subjected to surface tension, as they occur in rotational spinning processes. The asymptotic model combines the inner viscous transport with the unrestricted motion and shape of the fiber center-line. The boundary conditions deduced for the free end depend on the capillary number. They represent the effects of a drop end and yield an explicit description for its temporal evolution. We study the fiber behaviour due the effects of viscosity, gravity, rotation and surface tension numerically.