Abstract
We have calculated fully developed and unsteady flows in a curved duct having an aspect ratio of 2 and a curvature ratio of 8. The present report shows flows obtained by the pressure gradients C=6.93×104 and 7.20×104, at the range of which periodic flow patterns existed. As for the flow at C=6.93×104, it was considered by topological graphs of three velocity components whether an equilibrium state was obtainable in the flow. There existed the only pair of fixed points which correspond to a main secondary flow. The pair of fixed points may, however, be unstable, because any one of the fixed points was a saddle point. On the other hand, as for the flow at C=7.20×104, we obtained the Poincare map formed from an orbit in a phase space of velocity, and showed a torus surface to be stretched and folded. Accordingly, chaos may be considered to be a strange attractor in the higher Dean number.
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