We present the derivation of a simple viscous damping model of Kelvin–Voigt type for
geometrically exact Cosserat rods from three-dimensional continuum theory. Assuming …

Considering the dynamics of long slender elastic fibers in turbulent flows, there exists a
stochastic aerodynamic force concept for a general drag model based on ak–ϵ turbulence …

In this article we extend the modern, powerful and simple abstract Hilbert space strategy for
proving hypocoercivity that has been developed originally by Dolbeault, Mouhot and …

The dynamics of an elastic fiber with various initial states in a laminar channel flow is
investigated using the immersed boundary-lattice Boltzmann method. Fiber-wall collisions …

This work deals with the curling behavior of slender viscous jets in rotational spinning
processes. In terms of slender-body theory, an instationary incompressible viscous Cosserat …

The optimal design of rotational production processes for glass wool manufacturing poses
severe computational challenges to mathematicians, natural scientists and engineers. In this …

This paper is devoted to the adaptation of the method developed in [,] to a Fokker–Planck
equation for fiber lay-down, which has been studied in [,]. Exponential convergence toward a …

In this paper a three-dimensional stochastic model for the lay-down of fibers on a moving
conveyor belt in the production process of nonwoven materials is derived. The model is …

In this paper we present a chain of mathematical models that enables the numerical
simulation of the airlay process and the investigation of the resulting nonwoven material by …

This study numerically investigates the conveyance of a long flexible filament in the near
field of a jet flow using the immersed boundary-lattice Boltzmann method (IB-LBM) and large …