スパンの長い正方キャビティ内流れの流線(安定性(1),一般講演)

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  • Streamlines of the flow in a square cavity with a large span

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The three-dimensional steady internal flows of an incompressible fluid in a square cavity of spanwise aspect ratio 6.55 are numerically studied for the Reynolds numbers Re from 100 to 400. We used a combined compact finite difference scheme with high accuracy and high resolution. Streamlines are visualized from the velocity fields, and the Poincare sections are plotted. We found localized streamlines for Re from 100 to 350 and streamlines of chaotic motion for all Reynolds numbers. In the near-end-wall region of the Poincare sections, structures of intersections by the localized streamlines are found as in the cubic cavity case. For Re=400 in the central bottom region there are no intersections by streamlines of global chaotic motion, and we found that the z-component of velocity vector points to the center plane of symmetry and its magnitude is very small.

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