Journal Article

FZJ-2022-05294

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Linear stability analysis of nonisothermal glass fiber drawing

Philippi, J. (Corresponding author) ; Bechert, M.FZJ* ; Chouffart, Q. ; Waucquez, C. ; Scheid, B.

2022
APS College Park, MD

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Please use a persistent id in citations: http://hdl.handle.net/2128/34010  doi:10.1103/PhysRevFluids.7.043901

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.

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Contributing Institute(s):

1. Helmholtz-Institut Erlangen-Nürnberg Erneuerbare Energien (IEK-11)

Research Program(s):

1. 1215 - Simulations, Theory, Optics, and Analytics (STOA) (POF4-121) (POF4-121)
2. DFG project 416229255 - SFB 1411: Produktgestaltung disperser Systeme (416229255)

Appears in the scientific report 2022

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Database coverage:
; ; ; Clarivate Analytics Master Journal List ; Current Contents - Physical, Chemical and Earth Sciences ; Essential Science Indicators ; IF < 5 ; JCR ; SCOPUS ; Science Citation Index Expanded ; Web of Science Core Collection

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