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題名 | 狹長矩形穴中之潛流渦型=Eddy Formations for Stokes Flows in a Very Long Rectangular Cavity |
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作者 | 胡宗義; | 書刊名 | 技術學刊 |
卷期 | 15:4 2000.12[民89.12] |
頁次 | 頁555-558 |
分類號 | 440.137 |
關鍵詞 | 矩形穴; 潛流; 鞍點; Moffatt 漩渦; Rectangular cavity; Creeping flow; Saddle point; Moffatt eddy; |
語文 | 中文(Chinese) |
中文摘要 | 本文討長度極長之矩形穴潛流運動,流動由位於兩短邊端之平板移動所驅動,流函數解析解係藉特徵函數展開法求得。研究對象包括兩類有趣之流型,第一類型流動係由兩平板沿相反方向移動所造成,此類流場之特徵在於穴中心處之「鞍點」。第二類型流動則由兩平版沿相同方向移動所產生,流場中無「鞍點結構」存在。雖然本研究所提之解僅適用於穴中心附近,然在定量上,仍可觀察到類似Moffatt漩渦流動之主架構。 |
英文摘要 | Two interesting flow patterns for Stokes flows in a very long rectangular cavity are illustrated in the present study. This flow motion is driven by two moving plates located on the two shorter ends. An eigenfunction expansion method is used to analytically solve the corresponding streamfunction. The first class of flow is generated by moving two plates along opposite directions. The resulting flow is characterized by the existence of a saddle point at the center of the cavity. For the second class, the two plates are moved along the same direction and no saddle-point-structure exists. Although the solutions obtained can be applied only in regions near the geometric center of the cavity, the main structures of Moffatt-eddy-like flows are quantitatively captured. |
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