Premium
The prediction of flow and orientation behavior of short fiber reinforced melts in simple flow systems
Author(s) -
Kamal M. R.,
Mutel A. T.
Publication year - 1989
Publication title -
polymer composites
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.577
H-Index - 82
eISSN - 1548-0569
pISSN - 0272-8397
DOI - 10.1002/pc.750100510
Subject(s) - materials science , mechanics , orientation (vector space) , simple shear , flow (mathematics) , shear flow , diffusion , fiber , rheology , die swell , newtonian fluid , convection , shear (geology) , classical mechanics , thermodynamics , composite material , geometry , physics , mathematics , extrusion
A model for the prediction of changes in fiber orientation in simple flows of fiber suspensions is proposed. Fiber interactions are modeled as randomizing forces over the rotation of fibers in closed orbits in simple shear. The resulting Fokker‐Planck type convection‐diffusion equation in orientation space is solved using a finite difference technique. The solution technique permits the use of periodic boundary condition for the convection‐diffusion equation and different initial conditions for the orientation distribution. The model predictions for simple shear flow demonstrate the interaction between the structural changes and the bulk rheological properties. The effect of non‐Newtonian fluid properties on the orientation distribution was also incorporated at the slow flow limit. Structural changes are assumed to be irreversible. The irreversibility is incorporated through an orientation distribution dependent diffusion coefficient.