• 作者： 黃正弘; 王裕權
• 作者服務機構： 成功大學造船及船舶機械工程系
• 中文摘要： 鑄造時鑄液與鑄模間之空隙會產生一接觸熱阻，為了能順利預測出固-液界面之移動速度，吾人必須先預測此接觸面之邊界條件。 本文中吾人分別利用“最佳正則法”及“共軛梯度法”，藉著在鑄模區之溫度量測來預測此接觸面之邊界條件。 以上兩種方法之優缺點將分別做系統之探討，此外吾人亦將利用統計分析之原理，預測出固-液界面移動速度之99%可信度範圍。吾人將利用數值實驗來驗證此99%可信度之適用性。
• 英文摘要： The air-gap formation between the casting and the metal mold during the casting of metal createsa thermal resistance; in order to calculate the solid-liquid phase moving front position, one needs to predictthe mold-casting interface condition beforehand. In this work, inverse solution methodologies based on the optimal regularization method andconjugate gradient method are developed, respectively, to estimate the unknown interface condition withtime from the transient simulated temperature measurements taken at the outer mold surface. Then, thesolid-liquid phase front is calculated by using the estimated interface condition as the boundary condition. The advantages and disadvantages of using the optimal regularization method and conjugate gradientmethod will be discussed systematically. Moreover, statistical analysis based on the optimal regularizationmethod is performed to determine the 99﹪confidence bounds for the estimated function. The validitvor the bounas can De proven from the inverse solution using the conjugate gradient method since theyalways lie within these confidence limits.
• 中文關鍵字： stefan problem; inverse problem; contact resistance determination
• 英文關鍵字： --