Models and methods for viscous jets, break-up and drop forming
N. Marheineke (TU Kaiserslautern, Germany)
The understanding of the dynamics of viscous jets subjected to surface tension, gravity, rotation and/or aerodynamic forces, their break-up behavior and drop forming is of interest to research, development and production, in the context of glass fiber drawing, polymer/glass fiber spinning, pellets manufacturing, fueling processes, etc.
In the application of glass wool production for example, thousands of slender curved liquid fibers are formed in rotational spinning processes, where hot molten glass is pressed by centrifugal forces through the perforating walls of a rapidly rotating device. Due to the growth of surface tension driven instabilities the fibers break up and form drops that then cool and solidify while falling down on a conveyor belt.
The investigation of such processes involves a wide range of modeling, asymptotical and numerical challenges to mathematicians:
- derivation of asymptotic models using slender body theory
- analysis of break-up behavior and drop forming
- study of instabilities
- development of numerical schemes
- investigation of effects due to surface tension, gravity, rotation, aerodynamic forces
- regard of other material behavior (non-Newtonian viscoelastic flows,
crystallization)