TY  - JOUR
AU  - Philippi, Julien
AU  - Bechert, Mathias
AU  - Chouffart, Quentin
AU  - Waucquez, Christophe
AU  - Scheid, Benoit
TI  - Linear stability analysis of nonisothermal glass fiber drawing
JO  - Physical review fluids
VL  - 7
IS  - 4
SN  - 2469-990X
CY  - College Park, MD
PB  - APS
M1  - FZJ-2022-05294
SP  - 043901
PY  - 2022
AB  - 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.
LB  - PUB:(DE-HGF)16
UR  - <Go to ISI:>//WOS:000789342700003
DO  - DOI:10.1103/PhysRevFluids.7.043901
UR  - https://juser.fz-juelich.de/record/912067
ER  -