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。

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.

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