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| 題 名 | Direct Numerical Simulation for Route to Chaos and Vortex Breakdown in A Cylindrical Container with A Rotating Lid=以直接數值模擬旋轉底盤圓筒中之混沌路徑與渦漩迸裂 |
|---|---|
| 作 者 | 楊德良; 謝仁善; | 書刊名 | 力學 |
| 卷 期 | 12:1 1996.03[民85.03] |
| 頁 次 | 頁167-172 |
| 分類號 | 440.13 |
| 關鍵詞 | 混沌路徑; 準週期性; 相位鎖定; 奇異吸引子; 渦漩迸裂; Route to chaos; Quasiperiodicity; Phase locking; Strange attractors; Vortex breakdown; |
| 語 文 | 英文(English) |
| 中文摘要 | 本文主要以直接數值模擬非定常性軸對稱之旋轉底盤圓筒中之納維耳史托克斯方 程式,在此流體動力系統中,其參數空間主要由兩個參數控制,分別為轉動之雷諾數及細長 比(筒高與半徑之比值)。 為計算方便,固定細長比為 2.0 而衹變化雷諾數。經計算結果 發現,當雷諾數大於 5000 時,在不同的初始條件下,分別得到不同的奇異吸引子。這兩組 解分別經由準週期性與相位鎖定之混沌路徑,進入混沌狀態。最後以流線來偵試流場之結構 ,在不同的雷諾數下,得到不同之渦漩迸裂現象,由沒有渦漩出現之穩態流況,一直到極複 雜之多個渦漩迸裂之混沌流況。 |
| 英文摘要 | The investigation of the flow in the container with a rotating lid is carried out by a numerical computation of the unsteady axisymmetric Navier-Stokes equations. The parameters to be considered in this hydrodynamic system is the rotational Reynolds number Re and the Aspect ratio As (the ratio of the container's height to its radius). In the parameter space, we varied the Reynolds number Re, while keeping the other parameter aspect ratio As fixed to 2. A detailed study of the dynamical system about the computed flow field indicates the existence of two different attractors at rotational Reynolds numbers in the range greater than 5000 when the initial conditions are different. These two solutions lead to chaotic state through the quasiperiodicity, however phase locking phenomenon is found in one of them. The contours of streamlines are also used to monitor the vortex breakdown of flow field. It helps us to understand the structure of flow field at a specific rotational Reynolds number. |
本系統中英文摘要資訊取自各篇刊載內容。