Comparison Between an Analytical Asymptotic Fiber Drawing Model With Full Navier-Stokes Solution Taking Into Account the Effects of Inner Pressure and Surface Tension

A fluid-mechanics model that make use of asymptotic analysis based on small aspect ratio of capillaries has been compared with the full 3-D set of the N.-St. equations, for modelling the fabrication of capillary tubes. The final asymptotic equations are solved numerically and then compared with the...

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Bibliographic Details
Published inJournal of lightwave technology Vol. 29; no. 11; pp. 1638 - 1646
Main Authors Luzi, G, Epple, P, Scharrer, M, Fujimoto, K, Rauh, C, Delgado, A
Format Journal Article
LanguageEnglish
Published IEEE 01.06.2011
Subjects
Asymptotic analysis
Equations
Furnaces
Glass
holey fibres
Mathematical model
mathematical modelling
microstructured optical fibres (MOFs)
numerical methods
Numerical models
photonic crystal fibres
Surface tension
Temperature measurement
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Summary:A fluid-mechanics model that make use of asymptotic analysis based on small aspect ratio of capillaries has been compared with the full 3-D set of the N.-St. equations, for modelling the fabrication of capillary tubes. The final asymptotic equations are solved numerically and then compared with the N.-St. solutions, obtained with a commercial finite elements solver. The present paper focuses on the comparison of the solution of the two methods taking into account the effects of surface tension and internal hole pressure, since those are of essential importance during drawing. It is shown that the analytical asymptotic method delivers reliable results for practical applications, as long as the inner pressure or the temperature does not exceed too high values.
ISSN:0733-8724
1558-2213
DOI:10.1109/JLT.2011.2138117