Abstract
The behavior of fiber suspensions during flow is of fundamental importance to the process simulation of discontinuous fiber reinforced plastics. However, the direct simulation of flexible fibers and fluid poses a challenging two-way coupled fluid-structure interaction problem. Smoothed Particle Hydrodynamics (SPH) offers a natural way to treat such interactions. Hence, this work utilizes SPH and a bead chain model to compute a shear flow of fiber suspensions. The introduction of a novel viscous surface traction term is key to achieve full agreement with Jeffery’s equation. Careful modelling of contact interactions between fibers is introduced to model suspensions in the non-dilute regime. Finally, parameters of the Reduced-Strain Closure (RSC) orientation model are identified using ensemble averages of multiple SPH simulations implemented in PySPH and show good agreement with literature data.
Highlights
Molding of discontinuous reinforced polymer fiber suspensions, e.g., glass fibers in polymer melt, leads to fiber reorientation
Bian and Ellero propose a splitting scheme for separate integration of long-range hydrodynamic interactions and short-range lubrication [31], which was applied in an Smoothed Particle Hydrodynamics (SPH) simulation of a concentrated spherical
Fiber suspensions are treated as flexible bead chains of SPH particles surrounded by other particles representing the fluid domain
Summary
Molding of discontinuous reinforced polymer fiber suspensions, e.g., glass fibers in polymer melt, leads to fiber reorientation. Other phenomenological parameters were introduced to capture experimentally observed orientation delays in the SRF and RSC model [5] and to account for anisotropic diffusion in the Anisotropic Rotary Diffusion (ARD) model [6] or the improved Anisotropic Rotary Diffusion (iARD) model [7]. These phenomenological parameters account for interactions of multiple fibers in non-dilute suspensions and are fitted to experimental observations, but do not describe a two-phase suspension. They model the fiber orientation state with second and fourth order moments of the fiber orientation distribution function Ψ(p) introduced by Advani and Tucker [8] as fiber orientation tensors
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