• 作者： 陳寒濤；張旭銘
• 作者服務機構： 國立成功大學機械工程學系
• 中文摘要： 本文應用混合拉氏轉換法和有限差分法求解線性逆熱傳導問題。本文並探討具有短脈波形式之矩形波的週期性表面 熱傳量。本文方法乃先應用拉氏轉換法除去問題裡之時間項，然後再利用有限差分法求解於某一特定位置之轉換溫度。 最後再以數?的逆拉氏轉換法將轉換溫度轉換成對應的?正物理量。本文以最小平方近似法修正?部溫度的數據，使得 近似式的?和數據?之平方誤差?最小。利用此求得之近似式去預估表面熱傳量或溫度，本文方法可得到精確的預測結 果。
• 英文摘要： The hybrid application of the Laplace transform technique and the finite difference method (FDM) to inverse heat conduction problems of one-dimensional planar geometry with constant thermal properties is studied. One of the cases involves an imposed surface heat flux that oscillates periodically in the form of a square wave. In this case the pulse with a short width is included. In the present method, the time-dependent terms of the problem are removed by using the Laplace transform technique, and then the FDM is applied to discretize the space domain. The temperature in the transform domain is numerically inverted to that in the physical quantity. The estimation of the surface heat flux or temperature from the measured temperatures at a simple interior point agrees well with the analytical solution of the direct problem with a least square criteria.
• 中文關鍵字： Laplace transform and FDM; linear; inverse heat conduction
• 英文關鍵字： --