• 作者： 王茂齡; 陳進協
• 作者服務機構： 國立清華大學化工系
• 中文摘要： 本研究乃利用正交排列法尋求固化程序之邊界移動問題之解。主要探討純物質在恒溫平面，圓柱面及球面上之固化情形。此問題之特徵在於固化相本身不具有起始條件。衍導過程中，以Landau轉換將系統偏微分方程式轉換成適合正交排列法運算之方程式，在運算過程中，只要取二至四點之orthogonal collocation點就可獲得極佳之計算結果。利用正交排列法對尋求移動邊界問題之解的確相當有效。
• 英文摘要： The solutions of the moving boundary problems of solidification processes are obtained by usingthe orthogonal collocation method. The solidification of a pure substance on an isothermal flat platesurface, cylindrical surface or spherical surface is studied. The Landau transform is employed to reducethe system equations to those partial differential equations suitable for the application of the orthogonalcollocation method. Only two or four orthogonal collocation points are required in computation to getmore accurate results. The method is very effective in solving such a problem of a moving boundary.
• 中文關鍵字： solidifivation; moving boundary; orthogonal collocation
• 英文關鍵字： --