二維熱流效應對電化學加工反求工具形狀之分析

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姓名

張啟生(Chi-Sheng Chang) 查詢紙本館藏

畢業系所

機械工程學系

論文名稱

二維熱流效應對電化學加工反求工具形狀之分析
(Two-dimensional two-phase numerical model for tool design in electrochemical machining)

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摘要(中)

本文嘗試以體適合法(Body-Fitted Method)產生格點，並以二維二相之不同速度同溫度模式，分析二維熱流效應，以了解電極間隙內，各項熱流參數諸如體積分率、流場、壓力及溫度等之分佈情形。並利用崁入法反求工具形狀，以加工出所欲得之工件形狀。以完整傅利葉級數擬合工件形狀，來降低相對誤差。
藉由本文之分析，結果顯示所預測之工件外形與Hopenfeld和 Cole所做的實驗值十分接近。而二維熱流效應在加工區域流場形狀變化很大時非常顯著，增加供給電解液之流量只能輕微的減輕其影響。若流場形狀變化不大時，二維熱流效應較小，可用一維熱流模式分析以節省計算時間。

摘要(英)

Tool design in electrochemical machining is investigated which includes the effects of thermal-fluid properties of the electrolyte. A finite Fourier cosine series, constructed by both even and odd harmonics, is used in the electrode representation to reduce the relative error. A two-dimensional two-phase numerical model is applied to predict the thermal-fluid field. Results show that, as the curvature of the electrode shape varies seriously, the two-dimensional phenomenon of the flow is apparent and the two-dimensional model should be used in the numerical simulation. Larger flow rate of the electrolyte can lightly reduce the two-dimensional effects. As the curvature of the electrode shape varies mildly, one-dimensional analysis is accurate enough and capable to reduce the calculating time.

關鍵字(中)

★ 電化學加工
★ 反求法
★ 二相流

關鍵字(英)

★ ECM
★ inverse problem
★ two-phase flow

論文目次

摘要I
目錄III
表目錄VI
圖目錄VII
符號說明XI
第一章緒論1
1-1.文獻回顧2
1-2.研究目的4
第二章理論分析6
2-1.電場分佈及加工間隙的變化6
2-1-1.電場之決定6
2-1-2.運動關係式7
2-1-3.電流密度與導電度8
2-1-4.加工位置的形成9
2-2.一維二相熱流場分析9
2-2-1.連續方程式10
2-2-2.能量方程式11
2-2-3.動量方程式12
2-2-4.狀態方程式13
2-2-5.方程式的無因次化14
2-2-6.邊界條件17
2-3.二維二相熱流場分析19
2-3-1.流場之統御方程式19
2-3-2.溫度場之統御方程式23
2-3-3.邊界條件25
2-4.嵌入法26
2-5.曲線擬合28
第三章數值方法30
3-1.體適合法30
3-2.一維熱流場數值計算流程33
3-3.二維熱流場數值計算流程34
3-4.直接法預測工件形狀的計算流程37
3-5.反求法預測刀具形狀的計算流程38
3-6.誤差的計算38
第四章結果與討論40
第五章結論47
第六章參考文獻48

參考文獻

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指導教授

洪勵吾(Lih-Wu Hourng)

審核日期

2000-12-20

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