Asymptotics and numerics for the upper-convected Maxwell model describing transient curved viscoelastic jets

DOI10.1142/S021820251650010XzbMath1371.76003OpenAlexW2150066401MaRDI QIDQ2788744

Björn Liljegren-Sailer, Raimund Wegener, Nicole Marheineke, Maike Lorenz

Publication date: 22 February 2016

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

Full work available at URL: https://doi.org/10.1142/s021820251650010x

zbMATH Keywords

asymptotic expansionsslender body theoryupper-convected Maxwell modelcurved viscoelastic jetsnormal form total upwind scheme

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) PDEs in connection with fluid mechanics (35Q35) Singular perturbations in context of PDEs (35B25) Viscoelastic fluids (76A10) Asymptotic expansions of solutions to PDEs (35C20) Wakes and jets (76D25)

Related Items (6)

On mathematical approaches to modelling slender liquid jets with a curved trajectory ⋮ Spiralling liquid jets: verifiable mathematical framework, trajectories and peristaltic waves ⋮ Regularized string model for nanofibre formation in centrifugal spinning methods ⋮ Melt-blowing of viscoelastic jets in turbulent airflows: stochastic modeling and simulation ⋮ Nonwoven production processes ⋮ Centrifugal spinning of viscoelastic nanofibres

Uses Software

• HE-E1GODF

Cites Work

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• NUMERICAL ANALYSIS OF COSSERAT ROD AND STRING MODELS FOR VISCOUS JETS IN ROTATIONAL SPINNING PROCESSES
• On the characteristics and compatibility equations for the UCM model fluid
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• A systematic derivation of the leading-order equations for extensional flows in slender geometries
• Finite Volume Methods for Hyperbolic Problems

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