Flow patterns and fiber orientation in the two-dimensional flow of fiber suspension through a contraction or an expansion are calculated numerically by the use of Dinh-Armstrong model. The assumption that fibers lie tangent to streamline is excluded from the present calculation. Therefore, the fiber orientation is obtained by integration of the Jeffery's equation along a streamline.
A vortex near the salient corner in the suspension flow is different from that of Newtonian fluid. The dependence of the vortex length on aspect ratio and volume fraction of fiber is discussed.
In the contraction flow, fibers lie tangent to a streamline in the main flow region, but not in the vortex region. In the expansion flow, however, fibers rotate along the streamline, hence fibers do not lie tangent to a streamline even in the main flow region. Furthermore, the application of stress relief mechanism is examined for the change of the vortex length.
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