Finite volume approach for the instationary Cosserat rod model describing the spinning of viscous jets

DOI10.1016/j.jcp.2015.03.042zbMath1349.76301arXiv1207.0731OpenAlexW2105037847MaRDI QIDQ349959

Walter Arne, Raimund Wegener, Andreas Meister, Stefan Schiessl, Nicole Marheineke

Publication date: 5 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.0731

zbMATH Keywords

quaternionsfinite volume schemepartial differential algebraic equationsrotational spinning processspecial Cosserat theoryviscous fiber

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) Wakes and jets (76D25) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (5)

A geometrically exact discrete elastic rod model based on improved discrete curvature ⋮ An efficient finite volume method for one-dimensional problems with application to the dynamics of capillary jets ⋮ Random field sampling for a simplified model of melt-blowing considering turbulent velocity fluctuations ⋮ Melt-blowing of viscoelastic jets in turbulent airflows: stochastic modeling and simulation ⋮ Centrifugal spinning of viscoelastic nanofibres

Uses Software

• RODAS

Cites Work

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• A discrete geometric approach for simulating the dynamics of thin viscous threads
• The trajectory and stability of a spiralling liquid jet: viscous theory
• Nonlinear viscous liquid jets from a rotating orifice
• Free liquid jets and films: Hydrodynamics and rheology
• The numerical solution of differential-algebraic systems by Runge-Kutta methods
• Free jets spun from a prilling tower
• Fluid-fiber-interactions in rotational spinning process of glass wool production
• Unsteady analyses of thermal glass fibre drawing processes
• ASYMPTOTIC TRANSITION FROM COSSERAT ROD TO STRING MODELS FOR CURVED VISCOUS INERTIAL JETS
• Three flow regimes of viscous jet falling onto a moving surface
• Coiling of viscous jets
• NUMERICAL ANALYSIS OF COSSERAT ROD AND STRING MODELS FOR VISCOUS JETS IN ROTATIONAL SPINNING PROCESSES
• Coiling of flexible ropes
• The dynamics of thin liquid jets in air
• The fall of a viscous thread onto a moving surface: a ‘fluid-mechanical sewing machine’
• Systematic derivation of an asymptotic model for the dynamics of curved viscous fibers
• Stability of a dragged viscous thread: Onset of “stitching” in a fluid-mechanical “sewing machine”
• NUMERICAL EVIDENCE FOR THE NON-EXISTENCE OF STATIONARY SOLUTIONS OF THE EQUATIONS DESCRIBING ROTATIONAL FIBER SPINNING
• Asymptotic model for the dynamics of curved viscous fibres with surface tension
• Hierarchy of mathematical models for production processes of technical textiles
• Wider horizons for fluid mechanics
• A systematic derivation of the leading-order equations for extensional flows in slender geometries
• The buckling of thin viscous jets
• The buckling and stretching of a viscida
• The trajectory and stability of a spiralling liquid jet. Part 1. Inviscid theory
• SLENDER VISCOUS FIBRES WITH INERTIA AND GRAVITY
• On the evolution of non-axisymmetric viscous fibres with surface tension, inertia and gravity
• Lagrangian Aspects of the Kirchhoff Elastic Rod
• Break-up dynamics and drop size distributions created from spiralling liquid jets
• Mathematical model of falling of a viscous jet onto a moving surface
• Multiple coexisting states of liquid rope coiling
• Stability of liquid rope coiling
• Nonlinear problems of elasticity

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