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標題: 應用熱傳逆算法預測邊界溫度分佈和邊界幾何形狀
作者: 陳朝光
關鍵字: 逆問題
出版社: 國立中興大學工學院;Airiti Press Inc.
摘要: This paper applied the reversed matrix method to analyze the inverse heat transfer problem, which estimates the boundary temperatures and irregular boundary configurations. A finite-difference method is used to discretize the governing equations and then a linear inverse model is contracted to identify the unknown boundary conditions. The present approach is to rearrange the matrix forms of the differential governing equations so the unknown conditions can be represented explicitly. Then, the linear least-squares-error method is adopted to find the solutions. The results show that only few measuring points at discrete grid points are needed to estimate the unknown quantities even when measurement errors are considered. In contrast to the traditional approach, the advantages of this method are that no prior information is needed on the functional form of the unknown quantities, no initial guesses are required, no iterations. In the calculating process are necessary, and the inverse problem can be solved in a linear domain. Furthermore, the existence and uniqueness of the solutions can be easily identified. The results show that the proposed methods can solve the engineering inverse problems efficiently and effectively.
ISSN: 1017-4397
Appears in Collections:第13卷 第2期



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