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研究生: 洪一力
Hung, Yi-Li
論文名稱: 流過渠道內鈍頭平皮之紊流場與熱傳之數值模擬
Numerical Simulation of Turbulent Flow and Heat Transfer over a Blunt Flat Plate in a Channel
指導教授: 楊玉姿
Yang, Yu-Tzu
學位類別: 碩士
Master
系所名稱: 工學院 - 機械工程學系
Department of Mechanical Engineering
論文出版年: 2003
畢業學年度: 91
語文別: 中文
論文頁數: 102
中文關鍵詞: 鈍頭平板分離與再接觸點流場熱傳
外文關鍵詞: Blunt Flat Plate, Separated and Reattached Flow, Heat Transfer
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  • 本文主要根據Yanaoka (2002)所發表的層流流過方管內鈍頭平板之的數值計算擴展成紊流的數值計算並採用Djilali (1991)實驗數據來分析穩態、二維、紊流流場與熱傳的數值模擬以驗證理論模式之可行性。本文紊流統御方程式乃是以控制體積法為基礎,配合有限差分法及冪次法則來離散成差分方程式。對於紊流的結構則是以 紊流模式配合牆函數來描述。以 SIMPLE 運算法則求解壓力-速度結合的問題。
    本文研究的參數為雷諾數(Re = 6870、11700、17900)、固體形狀比BR (BR = 0.1、0.15)以及鈍頭平板的表面温度(Ts = 343K、353K、363K)。數值模擬結果顯示,在所研究的雷諾數範圍內,再接觸點長度的預測值與實驗值誤差在10 %內,再接觸點長度隨著雷諾數的增加而增加。在迴流區內的流場形成三維的特性,本文所預測的平均流場與實驗值相當吻合。當雷諾數增加,在側壁(side wall)附近的渦漩漸向下游移動,此渦漩結構對於熱傳有主要的影響。

    This study presents the Numerical Simulation of Turbulent Flow and Heat Transfer Over a Blunt Flat Plate in a Channel, based on the experiment results of Djilali (1991) and extension of the laminar flow calculation of Yanaoka (2002) to the turbulent flow. The numerical simulation of steady, two-dimensional, turbulent flow and heat transfer is adopted to test the accuracy of the theoretical model. The turbulent-governing equations are resolved by a Control-Volume based finite-difference method with power-law scheme, and the well-known turbulence model and its associate wall function to describe the turbulent structure. The SIMPLE algorithm is adopted to solve the pressure – velocity coupling.
    The parameters studied include the Reynolds number (Re = 6870, 11700, 17900), Solid blockage ratio BR (BR = 0.1, 0.15) and surface temperature of blunt flat plate (Ts = 343K、353K、363K). The numerical calculations indicate that reattachment length Xr increases with an increase of Reynolds number in the range studied of Reynolds number, the error of the reattachment length is with in 10 % comparing with the experimental results. The flow in the recirculation region becomes three–dimensional characteristics. The predicted mean flow field is found to be in good agreement with wall grows to the downstream with an increase of Reynolds number. This vortex structure has great effects upon heat transfer.

    第一章 緒論...................................................1 1-1 研究動機及背景...........................................1 1-2 文獻回顧.................................................2 1-3 本文探討之主題及方法.....................................4 第二章 理論分析...............................................7 2-1 流場基本假設.............................................7 2-2 流場內之統御方程式.......................................8 2-3 紊流模式.................................................10 2-3-1 k-ε雙方程式模式......................................10 2-3-2 牆函數................................................13 2-4 系統統御方程式之整合.....................................16 2-5 邊界條件.................................................19 2-6 紐賽數(Nusselt number)的計算.............................22 2-7 表面剪力係數與壓力係數的計算.............................23 第三章 數值方法...............................................25 3-1 離散方程式之推導.........................................25 3-1-1 格點系統..............................................25 3-1-2 通式之離散方程式......................................26 3-1-3 收斂條件..............................................35 3-2 離散方程式的解法.........................................37 3-2-1 數值程序..............................................37 3-2-2 電腦計算時間..........................................38 第四章 結果討論...............................................41 4-1 格點獨立測試.............................................41 4-2 流場特性分析.............................................43 4-2-1 再接觸點..............................................44 4-2-2 速度分析..............................................45 4-2-3 紊流場的紊流特性......................................46 4-3 温度及熱傳分析...........................................46 4-3-1 温度分佈..............................................47 4-3-2 鈍頭平板表面熱傳......................................48 4-4 壓力分析.................................................49 第五章 結論...................................................97 5-1 結論.....................................................97 5-2 未來研究方向之建議.......................................98 參考文獻......................................................99

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