Stability of hollow fiber drawing is studied, based on the quasi-one-d
imensional equations of thin film dynamics. It is shown that the model
isothermal drawing process is unstable when the draw ratio E (that of
output to input velocities) exceeds the critical value E=20.22 when
the viscosity force is dominating. Under stable regimes with E<E, the
response of the as-drawn fiber to external perturbations is studied (
the sensitivity problem). In unstable situations with E>E, onset of t
he so-called draw resonance regime with self-sustained oscillations is
predicted by using numerical simulation. The effects of the inertia,
gravity, surface tension, and gas pressure differential are considered
.