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研究生:李冠政
論文名稱:鐵磁質停滯流受雙極磁場作用下連續移動薄板附近之熱流特性分析
指導教授:賈 明 益
學位類別:碩士
校院名稱:國立中興大學
系所名稱:應用數學系
學門:數學及統計學門
學類:數學學類
論文種類:學術論文
論文出版年:2001
畢業學年度:89
語文別:中文
中文關鍵詞:鐵磁流體三次樣線定置法雙極磁場吸流或噴流效應
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本論文主要是以一具吸流或噴流效應(Suction or injection)之移動拉伸薄板,在一雙極磁場的作用下通過具有自由流速的熱鐵磁流體(Ferrofluid)時,探討其熱流場特性,而此種物理模型在許多工業上有廣泛的應用。首先將原為偏微分型式的統御方程式,轉化為一包含九個參數的非線性常微分方程。再採用三次樣線定置法(Cubic spline collocation method)求解問題,並與相關文獻比較數值解的精確性,得到十分吻合的結果。本文也將流場、溫度場及壓力場受系統參數影響的分佈情況繪製成圖形。當磁力參數b、無因次薄板速度Uw與表浮力效應的參數GR*為增加時,會造成局部壁面摩擦係數Cf減小,而當吸流參數(Fw>0)增加時,Cf則為增加。在局部壁面熱傳率方面:當b、GR*以及變數ξ增加時,壁面熱傳率會減低。反之當參數Uw和Fw增大時,會使壁面熱傳率增加。

頁 次
摘要……………………………………………………………………. I
目錄…………………………………………………………………… II
表目錄………………………………………………………………… IV
圖目錄………………………………………………………………… V
符號說明……………………………………………………………… X
第一章 緒論……………………………………………………….. 1
1.1 前言…………………………………………………………. 1
1.2 研究目的及文獻回顧……………………………………. 1
1.3 本文架構…………………………………………………. 3
第二章 理論分析………………………………………………….. 5
2.1 統御方程式………………………………… ………….. 5
2.2 熱磁效應分析……………………………………… ….. 7
第三章 數值分析過程………………………………… ………... 9
3.1 無因次參數變換………………………… …………….. 9
3.2 無因次統御方程式………………………… …………. 10
3.3 數值計算……………………………… ………………. 12
第四章 結果與討論………………………………… ………….. 14
4.1 數值精確性之比較……………………………… ……. 14
4.2 本問題之速度、溫度與壓力分佈……………… ……. 15
4.3 變動參數對壁面摩擦係數與熱傳率之影響… ………. 16
第五章 結論………………………………… ………………….. 20
5.1 本文結果之綜合說明…………………………………… 20
5.2 未來之展望與建議……………………………………… 21
參考文獻…………………………………………………………… 47

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