Asymptotic equations for the terminal phase of glass fiber drawing and their analysis

DOI10.1016/J.NONRWA.2008.09.017zbMath1202.35356OpenAlexW4297915420MaRDI QIDQ602891

Andro Mikelić, Angiolo Farina, Thierry Clopeau, Fasano, Antonio

Publication date: 5 November 2010

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2008.09.017

zbMATH Keywords

singular perturbationglass fiber drawingnon-isothermal elongational free boundary flow

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Singular perturbations in context of PDEs (35B25) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Free boundary problems for PDEs (35R35) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Cites Work

• Unnamed Item
• Non-isothermal flows of Newtonian slender glass fibers
• Unsteady analyses of thermal glass fibre drawing processes
• One‐Dimensional Liquid Fibers
• Dispersion, convection, and reaction in porous media
• On a Mathematical Model for Fiber Tapering
• ON THE EQUATIONS GOVERNING THE FLOW OF MECHANICALLY INCOMPRESSIBLE, BUT THERMALLY EXPANSIBLE, VISCOUS FLUIDS
• An Existence Theorem For A Free Surface Flow Problem With Open Boundaries
• On the Effects of Spinline Cooling and Surface Tension in Fiber Spinning
• Rigorous Upscaling of the Reactive Flow through a Pore, under Dominant Peclet and Damkohler Numbers

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