Hierarchy of mathematical models for production processes of technical textiles

DOI10.1002/zamm.200900282zbMath1230.74076OpenAlexW1995526850MaRDI QIDQ3651436

Raimund Wegener, Axel Klar, Nicole Marheineke

Publication date: 10 December 2009

Published in: ZAMM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.200900282

zbMATH Keywords

Fokker-Planck equationstochastic differential equationsparameter identificationasymptotic expansionsmodel reductionturbulence modelingslender-body theoryfiber-fluid interaction

Mathematics Subject Classification ID

Related Items (14)

ASYMPTOTIC TRANSITION FROM COSSERAT ROD TO STRING MODELS FOR CURVED VISCOUS INERTIAL JETS ⋮ A 3D MODEL FOR FIBER LAY-DOWN IN NONWOVEN PRODUCTION PROCESSES ⋮ Numerical Treatment of Fiber–Fiber and Fiber-Obstacle Contacts in Technical Textile Manufacturing ⋮ 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 ⋮ Aerodynamic web forming: process simulation and material properties ⋮ Efficient graph‐based tensile strength simulations of random fiber structures ⋮ Stochastic dynamics for inextensible fibers in a spatially semi-discrete setting ⋮ Hypocoercivity for Kolmogorov backward evolution equations and applications ⋮ A semi-Lagrangian method for 3-D Fokker Planck equations for stochastic dynamical systems on the sphere ⋮ Low-Mach-number and slenderness limit for elastic Cosserat rods and its numerical investigation ⋮ NUMERICAL ANALYSIS OF COSSERAT ROD AND STRING MODELS FOR VISCOUS JETS IN ROTATIONAL SPINNING PROCESSES ⋮ Approximate models for stochastic dynamic systems with velocities on the sphere and associated Fokker-Planck equations ⋮ GEOMETRIC LANGEVIN EQUATIONS ON SUBMANIFOLDS AND APPLICATIONS TO THE STOCHASTIC MELT-SPINNING PROCESS OF NONWOVENS AND BIOLOGY

Cites Work

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• Statistical inference for ergodic diffusion processes.
• Coiling of viscous jets
• Asymptotic model for the dynamics of curved viscous fibres with surface tension
• Stochastic Equations in Infinite Dimensions

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