Core–shell drops of Polymethyl Methacrylate (PMMA) and Polyacrylonitrile (PAN) are
subjected to a high speed gas jet that results in their stretching and bending. As a result of …

The work aims at the experimental and theoretical study of the mechanism of meltblowing.
Meltblowing is a popular method of producing polymer microfibers and nanofibers en masse …

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 …

The work is devoted to the theory of meltblown polymer jets. Polymer jets are experiencing
strong stretching and flapping being subjected to the pulling action of a high speed …

Melt blowing (MB) is an industrial process used in producing microfibrous nonwoven
materials. Over the past decades, a considerable amount of theoretical and experimental …

In this paper we present and investigate a stochastic model and its associated Fokker–
Planck equation for the lay-down of fibers on a conveyor belt in the production process of …

In this work we present a hierarchy of mathematical models for the numerical simulation of
the production process of technical textiles. The models range from highly complex three …

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

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 …

We show the existence and uniqueness of a stationary state for a kinetic Fokker--Planck
equation modeling the fiber lay-down process in the production of nonwoven textiles …