In this chapter, we investigate the draw resonance of non-isothermal fiber drawing. To that aim we propose a non-isothermal one-dimensional model encompassing inertia, gravity and surface tension as well as convective and radiative heat transfer. The practical scaling introduced in Chap.  9 is adapted to handle this multiparametric problem by isolating the control parameters relevant to practical applications, namely the inlet temperature and the fiber aspect ratio, in a real set-up. A linear stability analysis is then performed in order to produce neutral stability curves by numerical continuation in a way which permits to explore the full parameter space. The influence of the viscosity law, the ambient temperature decrease and the varying heat transfer coefficient on the stability are first determined using the pure viscous model. The stability behavior for the full model is then investigated and with an emphasis on the effect of the aspect ratio, the inlet temperature and the stiffness of the decreasing ambient temperature along the fiber. Each of the parameters used in this chapter has been chosen in a range relevant to glass fiber manufacturing.

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Non-isothermal Fiber Drawing

  • Mathias Bechert,
  • Benoit Scheid

摘要

In this chapter, we investigate the draw resonance of non-isothermal fiber drawing. To that aim we propose a non-isothermal one-dimensional model encompassing inertia, gravity and surface tension as well as convective and radiative heat transfer. The practical scaling introduced in Chap.  9 is adapted to handle this multiparametric problem by isolating the control parameters relevant to practical applications, namely the inlet temperature and the fiber aspect ratio, in a real set-up. A linear stability analysis is then performed in order to produce neutral stability curves by numerical continuation in a way which permits to explore the full parameter space. The influence of the viscosity law, the ambient temperature decrease and the varying heat transfer coefficient on the stability are first determined using the pure viscous model. The stability behavior for the full model is then investigated and with an emphasis on the effect of the aspect ratio, the inlet temperature and the stiffness of the decreasing ambient temperature along the fiber. Each of the parameters used in this chapter has been chosen in a range relevant to glass fiber manufacturing.