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題 名 | 淺水渠道潛沒平面初始射流與自由液面互制分析=Study on Free-Surface Interaction by a Plane Submerged Jet Initially Emerging Into Shallow Water |
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作 者 | 楊百皓; 唐啟釗; 張志華; | 書刊名 | 中國土木水利工程學刊 |
卷 期 | 11:1 1999.03[民88.03] |
頁 次 | 頁89-97 |
分類號 | 443 |
關鍵詞 | 潛沒射流; 貼壁座標; 有限解析法; 流函數; Submerged jet; Boundary-fitted grid; Finite-analytic method; Stream function; |
語 文 | 中文(Chinese) |
中文摘要 | 本文以數值模擬並探討淺水渠道(水深 H )中潛沒二維初始( initial )射流 ,不同福祿數( Fr=Vj │√ gH, Vj 為射流速)與射流寬度( b=bj/H,bj 為射口寬度) 之配置,對非黏性淺水流場及自由液面的影響。計算模式使用瞬時貼壁格網與有限解析法, 並配合 LSOR 法疊代,求得符合完全非線性自由液面條件之流函數時間變化精確解。本文討 論液面波形演化、內部流線及沿射流壓力分佈等。 計算結果發現,主波峰值僅與流量 Q ( =Fr × b )有關,當流量水於臨界值( Q ≦ 2.4 )時,最大主波峰值為( Fr × b )�� /8; 但液面形狀、流線分佈等仍受 Fr 與 b 兩參數影響,均與流量超過臨界值情況不同。 當 Q=2 時,Fr 愈大則沿射流壓力分佈偏離靜水壓差值愈大。 |
英文摘要 | This paper applied a numerical method to simulating a plane submerged jet initially emerging into shallow water. The dependency of the Froude number (based on jet velocity and water depth) and jet width to the disturbed potential flow and water waves on the free surface was investigated. By solving stream function with the complete nonlinear conditions on the free surface, the time-accurate solutions were obtained by the finite-analytic method and LSOR iterative scheme in a transient boundary-fitted grid system. The wave evolution on the free surface, interior flow patterns (such as instantaneous streamlines), and pressure distribution along the jet were discussed. It is found from the numerical results that the peak height of the primary wave depends only on one combined parameter of discharge Q(=Fr × b), but not on either of Fr and b. As for Q ≦ 2.4, this maximum peak value is (Fr × b) �� /8; and the shape of free surface and streamling pattern, which are indeed affected by both Frand b, and significantly different from those of Q>2.4. For Q=2, the vertical pressure deviation along the jet from the hydrostatic distribution becomes larger as Fr increases. |
本系統中英文摘要資訊取自各篇刊載內容。