壁面の併進振動を伴う回転平面クエット流の線形安定性解析および非線形解析(流体数理(4),一般講演)

概要

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The effect of a spanwise boundary oscillation on the linear stability of rotating plane Couette flow is studied numerically by applying Floquet theory. It is found that the critical states, determined by longitudinal perturbations as in the case without oscillation, are delayed, and that the response to the oscillation is synchronous in all the parameter ranges examined. Also, we examine a subsequent nonlinear development of the flow by a two-dimensional direct numerical simulation. Synchronous longitudinal roll solutions oscillating in the spanwise direction is obtained. For a large amplitude we detect a parameter window where the synchronous secondary flow first loses its stability to a synchronous flow with a travelling wave component propagating in the spanwise direction followed by a double-periodic motion and finally a chaotic state.
日本流体力学会の論文
2008-09-04