NUMERICAL EVIDENCE FOR THE NON-EXISTENCE OF STATIONARY SOLUTIONS OF THE EQUATIONS DESCRIBING ROTATIONAL FIBER SPINNING

DOI10.1142/S0218202508003200zbMath1184.34055OpenAlexW2021679966MaRDI QIDQ3607499

Raimund Wegener, Axel Klar, Thomas B. Götz, Andreas Unterreiter

Publication date: 2 March 2009

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202508003200

zbMATH Keywords

singular perturbationboundary value problemrotational fiber spinning

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (10)

ASYMPTOTIC TRANSITION FROM COSSERAT ROD TO STRING MODELS FOR CURVED VISCOUS INERTIAL JETS ⋮ Asymptotic Models of Different Complexity for Viscous Jets and Their Applicability Regimes ⋮ Fluid-fiber-interactions in rotational spinning process of glass wool production ⋮ Finite volume approach for the instationary Cosserat rod model describing the spinning of viscous jets ⋮ Regularized string model for nanofibre formation in centrifugal spinning methods ⋮ Modeling and simulation of curved fibers in dry spinning scenarios ⋮ On simulations of spinning processes with a stationary one-dimensional upper convected Maxwell model ⋮ Asymptotics and numerics for the upper-convected Maxwell model describing transient curved viscoelastic jets ⋮ NUMERICAL ANALYSIS OF COSSERAT ROD AND STRING MODELS FOR VISCOUS JETS IN ROTATIONAL SPINNING PROCESSES ⋮ Centrifugal spinning of viscoelastic nanofibres

Cites Work

• Free liquid jets and films: Hydrodynamics and rheology
• Simulation of melt spinning including flow-induced crystallization. I: Model development and predictions.
• Free jets spun from a prilling tower
• SLENDER VISCOUS FIBRES WITH INERTIA AND GRAVITY

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