Stability of hollow fiber drawing is studied, based on the quasi‐one‐dimensional 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 the 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.
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© 1994 American Institute of Physics.
1994
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