Modelling of particle deposition during impregnation of dual scale fabrics

Abstract

The motion of particles through a system of permeable fibre bundles is considered. The system is discretisised with Voronoi diagrams and the dissipation rate of energy is minimised with respect to the stream function in a system with periodic boundary conditions. The flow of the particles is in the transversal direction to the fibre bundles and the particles are hindered to move out of the plane allowing for two-dimensional calculations. The motion of particles is assumed to be slow with respect to the flowrate so that particles are driven by the Stokesian force for stationary particles. In this case, the flow distribution is essentially dependent on the particle configuration and strictly follows the motion of particles. When testing different sizes of the particles, it is shown that there is a qualitative agreement between model and experiments previously performed. In particular, stationary flow leads to particle depositions in front of the fibre bundles and small particles move into the fibre bundles while large ones are stuck at the border.

Particle distribution from in‐plane resin flow in a resin transfer molding process

“…Using a pore‐scale model of a textile with dual scale properties, they showed that if particles are approaching a fiber tow during the resin flow process, a fraction of the particles are retained while the remaining particles would flow around the fiber tow with no possibility of particle retention on the opposing back side of the tow. Similar observations were made by Lundström and Frishfelds who simulated the motion of particles flowing in a direction transverse to fiber bundles, evaluating the deposition behavior. Introducing the topic of modeling and simulating nano‐scale particle filtration was done by Reia da Costa and Skordos, who modeled the resin flow during a composite infusion process of epoxy filled with carbon nanofiber (CNF) and CNT .…”

The calculations of dispersion coefficients inside two‐dimensional randomly packed beds of circular particles

“…The flow pattern inside of the porous medium is obtained by minimization of the energy dissipation rate . A similar discrete model of a bed of particles was used to model the drying of a bed of iron ore pellets, and to study filtration mechanisms during composites manufacturing, as well as internal erosion processes . In this study, the boundary conditions of the 2‐D domain were adapted in order to perform longitudinal dispersion numerical simulations so as to calculate D L .…”

Particle Distribution of Solid Flame Retardants in Infusion Moulded Composites

“…According to Hwang et al, this flow is responsible for the early deposition of the particle, because this kind of flow is not present in the absence of the particle and yields additional downward penetrating flow through the porous media. In another paper, the fluid-flow-driven motion of particles was studied with Voronoi discretization and minimization of the dissipation rate of energy; they described two-dimensional particle flow and filtration through fibre bundles [ 21 , 22 ]. The results of the simulation were compared to experimental observations.…”