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題 名 | Steady Buoyant Droplets with Circulation and Surface Tension=含表面張力與環流的旋轉水珠之穩態解 |
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作 者 | 高欣欣; | 書刊名 | 中原學報 |
卷 期 | 26:1 1998.02[民87.02] |
頁 次 | 頁7-15 |
分類號 | 314.6 |
關鍵詞 | 艾持伍數; 弗若德數; 表面張力; 漩渦; 穩態; 環流; Atwood number; Froude number; Surface tension; Vorticity; Steady state; Circulation; |
語 文 | 英文(English) |
中文摘要 | 針對二維理想流體中受環流、重力加速度及表面張力影響而移動的漩流水珠之穩 定態,尋找數值模擬的答案。經過無量化(nondimensionalization)後的微分方程組僅含 四個參數---與密度比相關的Atwood number(A),與重力場有關的Froude number(√c) ,表面張力係數(τ)及水珠內部的漩渦強度(Ω)。本文研究此四參數在決定穩態解的型 態所扮演的角色。結果顯示水珠的形狀在較大的︱Ω︱與τ時被較好地維持,而不易變形。 參數數值不同的組合亦被選定來研究週圍流場的特性;在A值較小的範圍裡,數值結果皆以 分析上的擾動理論加以印證。 本文的結果亦從定性上與其他相近研究比對,得到一致的結論。 |
英文摘要 | Numerical solutions are presented for the steady flow corresponding to a two-dimensional moving droplet with circulation subject to the gravity and surface tension force. Solutions to the nondimensionalized system depend on four parameters--the Atwood number A, the Froude number √c , the surface tension coefficient τ, and the intensity of vorticity inside the droplet Ω. The roles of these parameters in determining the stationary solution are studied. It is found the droplet is less deformed with larger ︱Ω︱and τ. Features of the surrounding flow in selected combinations of the parameters are discussed, and numerical computations are confirmed by pertubation analysis for small A. |
本系統中英文摘要資訊取自各篇刊載內容。