ASYMPTOTIC TRANSITION FROM COSSERAT ROD TO STRING MODELS FOR CURVED VISCOUS INERTIAL JETS

DOI10.1142/S0218202511005635zbMath1321.74034MaRDI QIDQ2890975

Nicole Marheineke, Walter Arne, Raimund Wegener

Publication date: 12 June 2012

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

zbMATH Keywords

asymptotic limitslender-body theoryrotational spinning

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) General theory of rotating fluids (76U05) Wakes and jets (76D25) Strings (74K05)

Related Items (10)

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 ⋮ Whipping of Electrified Visco-Capillary Jets in Airflows ⋮ Regularized string model for nanofibre formation in centrifugal spinning methods ⋮ Random field sampling for a simplified model of melt-blowing considering turbulent velocity fluctuations ⋮ Modeling and simulation of curved fibers in dry spinning scenarios ⋮ On simulations of spinning processes with a stationary one-dimensional upper convected Maxwell model ⋮ Traveling waves along viscous filaments ⋮ Asymptotics and numerics for the upper-convected Maxwell model describing transient curved viscoelastic jets

Cites Work

• 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
• 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
• A systematic derivation of the leading-order equations for extensional flows in slender geometries
• SLENDER VISCOUS FIBRES WITH INERTIA AND GRAVITY
• On the evolution of non-axisymmetric viscous fibres with surface tension, inertia and gravity
• Stability of liquid rope coiling

This page was built for publication: ASYMPTOTIC TRANSITION FROM COSSERAT ROD TO STRING MODELS FOR CURVED VISCOUS INERTIAL JETS