長方形断面を有する曲がり流路内流れに関する数値実験 : ホップ分岐点以下における流れの挙動について

概要

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It is simulated numerically by the MAC method how a flow pattern evolves in a curved duct as the Dean number increases and then decreases. The duct has an aspect ratio of 2 and a curvature ratio of 8. Fully developed and unsteady flows are calculated by the condition that pressure gradients are made to fall and then kept constant, and by the initial condition that they were suddenly given to move fluid in a stationary state. The flows agree with them asymptotically as the pressure gradients are given to the stationary state. The flows become a pair of vortices and stabilize. The fix point which corresponds to the flow attracts orbits starting from the other points on a phase plane of velocity. No hysteresis is found near the Hopf bifurcation point. For this reason, the calculation shows that the Hopf bifurcation is supercritical.
一般社団法人日本機械学会の論文
1992-01-25