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ラプラス変換を用いた一次元非定常熱伝導逆問題の解析的解法―円筒・球座標系への適用―

発表形態:
原著論文
主要業績:
その他
単著・共著:
共著
発表年月:
2001年
DOI:
会議属性:
指定なし
査読:
有り
リンク情報:
CiNii

日本語フィールド

著者:
有馬博史, 門出政則, 光武雄一
題名:
ラプラス変換を用いた一次元非定常熱伝導逆問題の解析的解法―円筒・球座標系への適用―
発表情報:
日本機械学会論文集B 巻: 67 号: 662 ページ: 2495-2502
キーワード:
Inverse Problem, Heat Conduction, Analytical Method, Laplace Transformation, Cylindrical Coordinate, Spherical Coordinate
概要:
抄録:
An analytical method has been developed to solve an inverse problem for one-dimensional heat conduction in cylindrical and spherical coordinates by using Laplace transformation. This method successfully derives the inverse solution by which the surface temperature and heat flux can be predicted well for any kind of boundary condition with a constant initial condition. The inverse solution obtained by the temperatures at two different measuring points can predict the surface temperature and heat flux with higher accuracy than that at a single measuring point, although the single measuring point is enough for the cylindrical and spherical coordinates to predict them. The same order of accuracy of estimation has been maintained between cylindrical and spherical coordinate.

英語フィールド

Author:
Hirofumi Arima, Masanori Monde, Yuhichi Mitsutake
Title:
Analytical Approach to Solve an Inverse Problem for One-Dimensional Heat Conduction Based on Laplace Transformation : Application to Cylindrical and Spherical Coordinates
Announcement information:
Transactions of the Japan Society of Mechanical Engineers Vol: 67 Issue: 662 Page: 2495-2502
Keyword:
Inverse Problem, Heat Conduction, Analytical Method, Laplace Transformation, Cylindrical Coordinate, Spherical Coordinate
An abstract:
An analytical method has been developed to solve an inverse problem for one-dimensional heat conduction in cylindrical and spherical coordinates by using Laplace transformation. This method successfully derives the inverse solution by which the surface temperature and heat flux can be predicted well for any kind of boundary condition with a constant initial condition. The inverse solution obtained by the temperatures at two different measuring points can predict the surface temperature and heat flux with higher accuracy than that at a single measuring point, although the single measuring point is enough for the cylindrical and spherical coordinates to predict them. The same order of accuracy of estimation has been maintained between cylindrical and spherical coordinate.


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