Asymptotic Analysis for Fiber Drawing Processes

DOI10.1137/22m1470074MaRDI QIDQ6045339

D. O'Kiely, Unnamed Author

Publication date: 26 May 2023

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

viscous flowasymptotic analysisTrouton model

Mathematics Subject Classification ID

Analysis of algorithms and problem complexity (68Q25) Graph theory (including graph drawing) in computer science (68R10) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05)

Cites Work

• Automated solution of differential equations by the finite element method. The FEniCS book
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• Asymptotic solutions of glass temperature profiles during steady optical fibre drawing
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• Mathematical modelling of non-axisymmetric capillary tube drawing
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• A systematic derivation of the leading-order equations for extensional flows in slender geometries
• A singular finite element for Stokes flow: The stick–slip problem
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• Glass sheet redraw through a long heater zone
• Coupled fluid and energy flow in fabrication of microstructured optical fibres
• On the (de)stabilization of draw resonance due to cooling
• Out-of-plane buckling in two-dimensional glass drawing
• The surface-tension-driven evolution of a two-dimensional annular viscous tube
• Heat conduction in a melting solid

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