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@ARTICLE{Philippi:912067,
      author       = {Philippi, Julien and Bechert, Mathias and Chouffart,
                      Quentin and Waucquez, Christophe and Scheid, Benoit},
      title        = {{L}inear stability analysis of nonisothermal glass fiber
                      drawing},
      journal      = {Physical review fluids},
      volume       = {7},
      number       = {4},
      issn         = {2469-990X},
      address      = {College Park, MD},
      publisher    = {APS},
      reportid     = {FZJ-2022-05294},
      pages        = {043901},
      year         = {2022},
      abstract     = {The draw resonance effect appears in fiber drawing
                      processes when the draw ratio,defined as the ratio between
                      the take-up and the inlet velocities, exceeds a critical
                      value.In many cases, inertia, gravity, and surface tension
                      cannot be neglected, and a modelcombining all these effects
                      is necessary in order to correctly describe the physics of
                      thephenomenon. Additionally, it is also known that cooling
                      can have a highly stabilizing effecton the draw resonance
                      instability. However, a detailed analysis encompassing the
                      effect ofinertia, gravity, surface tension, and temperature
                      is still lacking. Due to a destabilizingeffect induced by
                      geometry in the heat equation, we first show that the
                      maximum criticaldraw ratio for fiber drawing can be two
                      orders of magnitude lower than the one for the filmcasting
                      problem when the heat transfer coefficient is assumed
                      constant. By introducing ascaling making the fiber aspect
                      ratio an independent parameter, we next show that the
                      highvalue of the critical draw ratio encountered in
                      industrial applications could be rationalizedonly if we
                      consider that the heat transfer coefficient is not constant
                      but depends on boththe velocity and the cross-section area
                      of the fiber. Within this framework, we show howthe
                      practical stability window is affected by the five control
                      parameters: the draw ratio,the fiber aspect ratio, the inlet
                      temperature, the convective heat transfer coefficient, and
                      thestiffness of the non-homogeneous ambient temperature. We
                      finally discuss the influence ofradiative heat transfer on
                      the stability.},
      cin          = {IEK-11},
      ddc          = {530},
      cid          = {I:(DE-Juel1)IEK-11-20140314},
      pnm          = {1215 - Simulations, Theory, Optics, and Analytics (STOA)
                      (POF4-121) / DFG project 416229255 - SFB 1411:
                      Produktgestaltung disperser Systeme},
      pid          = {G:(DE-HGF)POF4-1215 / G:(GEPRIS)416229255},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000789342700003},
      doi          = {10.1103/PhysRevFluids.7.043901},
      url          = {https://juser.fz-juelich.de/record/912067},
}