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研究生:李建興
研究生(外文):Chien-Shing Lee
論文名稱:具磁場影響下水平波形板上層流對流薄膜凝結熱傳研究
論文名稱(外文):Investigation of Laminar Film Condensation Heat Transfer on Horizontal Plates and Disks under Magnetic Field Effect
指導教授:陳朝光陳朝光引用關係
指導教授(外文):Chao-Kuang Chen
學位類別:碩士
校院名稱:國立成功大學
系所名稱:機械工程學系碩博士班
學門:工程學門
學類:機械工程學類
論文種類:學術論文
論文出版年:2002
畢業學年度:90
語文別:中文
論文頁數:118
中文關鍵詞:三次樣線定置法磁性流體力學理論薄膜凝結
外文關鍵詞:cubic spline methodmagnetohydrodynamicsfilm condensation
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本文係探討具不同外力場與波形表面效應影響下有限長水平板之薄膜凝結熱傳,水平板則考慮以長直平板與圓盤兩種幾何模型作解析。本文分為兩大主題研究:(一)針對具磁場作用下之統制方程式,本文嘗試將Nusselt-Rohsenow假設之凝結模式,配合磁性流體力學理論,探討外加磁場對薄膜凝結之熱流特性影響。(二)針對具向下蒸氣流場作用下之統制方程式,本文亦將Nusselt-Rohsenow假設之凝結模式,導入Shekriladze和Gomelauri假設之剪應力模型來求得汽液介面之作用力,探討外加流場對薄膜凝結過程中整體熱流特性的影響。
研究過程中,本文對於水平板邊緣處的邊界條件,應用開放渠流之最小機械能流動原理求得;在數值求解方面,本文使用三次樣線定置法求解微分方程式;在分析熱流特性方面,本文歸納出幾個值得探討的重要參數,對其影響系統的物理現象也一併討論之。研究結論顯示:利用適當的外加磁場,所產生的電磁力能有效控制凝結液流動速度而增加其穩定性,熱傳分佈也較均勻。利用外加飽和蒸氣流場來驅動凝結液流動速度加快,可使原本自然對流之凝結模式趨於強制對流,增進熱傳效果。對於具波形表面效應對熱流特性的影響,本文發現表面波數為奇數時熱傳效果與波振幅變化一致;若波數為偶數,則影響結果相反。
An analysis is conducted to study the two dimensional laminar film condensation heat transfer with the effects of applied magnetic field or downward flowing vapors onto a horizontal wavy plate or disk. In the presence of magnetic field, the electrically conducting film will be governed by the elemental force-Lorentz force. The classical condensation model of Nusselt-Rohsenow’s analysis combined with the set of magnetohydrodynamic equations is utilized to treat the liquid film layer. Another case for the free and forced convection film condensation with pure saturated vapor, the Shekriladze and Gomelauri’s shear stress model is adopted appropriately for the liquid-vapor interfacial condition. Both cases are investigated with some general assumptions like liquid inertia and energy convection terms neglected.
An essential part of the present analysis is that the boundary condition at the plate edge is established by the application of Minimum mechanical energy principle from the open channel flow theory. To obtain the critical condensate layer thickness, the mass and energy equations must satisfy the conservation balance at the interface. An adequate implicit cubic spline scheme is employed for the numerical solution of the governing equations.To sum up the physical phenomena, results of the complete model were discussed in dimensionless form, including several presented parameters like Hartmann number, Rayleigh number, Jacob number and Reynolds number.
According to the numerical results, the flow momentum will be retarded, but the stability and the heat transfer distribution will be increased and normalized due to the externally applied magnetic field. For film condensation of downward flowing vapor, it is found that as the vapor velocity is increasing, the mean heat transfer coefficient is changing from the free convection region into the forced convection region through a transition zone. As for the influence of wavy surface effect on the mean heat transfer coefficient, the results shows that if the total waviness number is odd, the heat transfer characteristics will be proportional to the waviness amplitude.
中文摘要…………………………………………Ⅰ
ABSTRACT…………………………………………Ⅱ
誌 謝……………………………………………Ⅲ
目 錄……………………………………………Ⅳ
表目錄…………………………………………Ⅶ
圖目錄…………………………………………Ⅶ
符號說明………………………………………ⅩⅢ

第一章、 緒論…………………………………………1
1-1 前言…………………………………………1
1-2 文獻回顧……………………………………3
1-3 研究動機……………………………………8
1-4 論文結構……………………………………9

第二章、具磁場影響下水平波形平板與圓盤上之薄膜凝結熱傳…………10
2-1 統制方程式之建立……………………………10
2-2 數值計算………………………………………22
2-2-1 求解步驟……………………………………22
2-2-2 數值方法……………………………………22
2-3 結果與討論…………………………24

第三章、具外加流場下水平波形圓盤上之薄膜凝結熱傳………47
3-1 統制方程式之建立……………………………47
3-2 數值計算………………………………………57
3-2-1 求解步驟……………………………………57
3-2-2 數值方法……………………………………57
3-3 結果與討論……………………………………59

第四章、總結………………………………………75
4-1 結論…………………………………………75
4-2 建議及展望…………………………………77

附錄一、三次樣線數值方法……………………83
A-1 三次樣線背景……………………………83
A-2 三次樣線法原理…………………………84
A-3 三次樣線法求解微分方程………………87
A-3-1 求解一維二階偏微分方程式…………87
A-3-2 求解二維二階偏微分方程式…………89
A-4 三次樣線法邊界條件的處理……………90
附錄二、最小機械能原理……………………92
附錄三、基本磁性流體力學理論……………94

參考文獻………………………………………97
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