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題 名 | Computation of the Inviscid Interaction of a Jet and a Solid Wall by the Hodograph Method=以速度轉換法求解無黏性噴流與固體壁交互作用的流動 |
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作 者 | 朱孝信; | 書刊名 | 筧橋學報 |
卷 期 | 4 1997.09[民86.09] |
頁 次 | 頁1-16 |
分類號 | 447.55 |
關鍵詞 | 噴流與固體壁交互作用; 速度轉換法; Jet-plate interaction; Hodograph transformation; |
語 文 | 英文(English) |
中文摘要 | 本文應用速度轉換法來分析無黏性噴流與固體壁交互作用的流動。當一穩態無黏性 噴流撞擊一無限長之垂直平板時, 其對稱之流動形態可直接利用 conformal mapping 求得 。但若平板並非無限長,或甚至不為平板,不為對稱流的時候,我們要如何去求解﹖這便是 提出本計畫的動機。首先,流動問題被轉換到速度平面上,經由適當的參數選取可再將此速 度平面上的流動區域轉換成矩形。然後,在矩形速度平面上求解。在物理平面上的流動形態 包括板長、停滯流線及自由流線、及所有流場性質均經由直接積分得到。為避免速度轉換法 所產生之解在物理平面上具有不適當的邊界條件,所有之流動問題均利用積分形式的 Euler 方程式來驗證其動量守恆。速度轉換法雖然為一非直接求解的方法,但此法快速、有效,並 確信能用以求解許多其它的流動問題,不論其流動形態是二維的或是軸對稱的。 |
英文摘要 | The purpose of this work is to study the inviscid flow problems of jet-plate interaction through the method of hodograph transformation. When a steady, inviscid jet flow strikes a vertical, infinite flat plate in a two-dimensional configuration, the symmetric free streamline shape can be directly obtained through conformal mapping. A natural question arises if the plate has only a finite length and/or it is not a flat one, or even in a non-symmetrical configuration. The physical flow problem is first transformed to the hodograph domain, and then into a rectangular computational region using properly selected flow parameters. The solution is first established in the hodograph plane. The final flow pattern including the required length of the plate, the stagnation and free streamlines, and other flow properties in the physical plane are subsequently obtained through direct integration. It is possible that the hodograph equation may produce solutions with physically inappropriate boundary conditions. Thus, a checking of the overall momentum balance must be implemented for each of the test problems. The Euler equations in integral form will be used directly in the physical plane for the present work to verify the conservation of momentum, after the solutions of the hodograph equation have been produced. It is strongly believed that the present approach may also be employed for cases of many other flow processes, whether the flow configuration is twodimensional or axisymmetric. |
本系統中英文摘要資訊取自各篇刊載內容。