Fiber Orientation and Rheology Behavior of the Laminar Suspension Flow through a 2-D Curved Expansion Duct

By coupling the fiber extra stress into the laminar Newtonian flow equations, the fiber orientation and the fiber suspension rheology in a 2D curved expansion duct is numerically investigated. The orientation distribution probability function is numerically solved to obtain the bulk orientation distributions and the extra stress distributions. The results show that the overall distribution of the flow field parameters, such as velocity, pressure have not been significantly affected in the most regions of the duct. But for the shear stress and normal stress difference, the non-equilibrium is significant. In the inlet region, the fibers rotate frequently due to the nonuniform flow shear effects, the orientation becomes more random and are less aligned with the local streamlines. But in the downstream region, with flow shear becomes uniform, the non-equilibrium is less obvious. In addition, with the fiber extra viscosity increasing, the shear stress and normal stress difference increase correspondingly Streszczenie. Przeanalizowano numerycznie orientacje wlokna i naprezenia zawieszenia w zastosowaniach do reologii. Stwierdzono, ze takie parametry jak ciśnienie i szybkośc przeplywu nie decydują o parametrach kanalu. Natomiast istotny wplyw mają naprezenia. (Wlaściwości reologiczne laminarnego przeplywu pola przez kanal zawieszenia 2D)