Fluid-fiber-interactions in rotational spinning process of glass wool production

DOI10.1186/2190-5983-1-2zbMath1273.74075OpenAlexW2169802691WikidataQ59255521 ScholiaQ59255521MaRDI QIDQ2391701

Nicole Marheineke, Walter Arne, Raimund Wegener, Johannes Schnebele

Publication date: 5 August 2013

Published in: Journal of Mathematics in Industry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/2190-5983-1-2

zbMATH Keywords

continuation methodboundary value problemtwo-way couplingslender-body theoryrotational spinning processCosserat rodsdrag modelsfluid-fiber interactionsviscous thermal jets

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Applications to the sciences (65Z05) Parameter dependent boundary value problems for ordinary differential equations (34B08)

Related Items (6)

Finite volume approach for the instationary Cosserat rod model describing the spinning of viscous jets ⋮ Random field sampling for a simplified model of melt-blowing considering turbulent velocity fluctuations ⋮ An efficient numerical framework for fiber spinning scenarios with evaporation effects in airflows ⋮ Industrial dry spinning processes: algorithmic for a two-phase fiber model in airflows ⋮ Melt-blowing of viscoelastic jets in turbulent airflows: stochastic modeling and simulation ⋮ Centrifugal spinning of viscoelastic nanofibres

Uses Software

• ANSYS
• Matlab
• FLUENT

Cites Work

• Unnamed Item
• Unnamed Item
• 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
• Free jets spun from a prilling tower
• Computational Methods for Fluid Dynamics
• 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
• Experiments on the flow past a circular cylinder at low Reynolds numbers
• The dynamics of thin liquid jets in air
• The fall of a viscous thread onto a moving surface: a ‘fluid-mechanical sewing machine’
• Fiber Dynamics in Turbulent Flows: General Modeling Framework
• 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
• A systematic derivation of the leading-order equations for extensional flows in slender geometries
• 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
• Mathematical model of falling of a viscous jet onto a moving surface
• Fiber Dynamics in Turbulent Flows: Specific Taylor Drag
• Multiple coexisting states of liquid rope coiling
• Hydrodynamics Around Cylindrical Structures
• Slender-body theory for particles of arbitrary cross-section in Stokes flow
• The motion of long slender bodies in a viscous fluid Part 1. General theory
• Stability of liquid rope coiling
• Analysis of the swimming of long and narrow animals
• On the forces acting on a circular cylinder set obliquely in a uniform stream at low values of Reynolds number

This page was built for publication: Fluid-fiber-interactions in rotational spinning process of glass wool production