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ラプラス変換を用いた2次元非定常熱伝導の逆問題解析

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:
2002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:
門出政則, 有馬博史, 光武雄一, 劉 維, Jaffar A. HAMMAD
題名:
ラプラス変換を用いた2次元非定常熱伝導の逆問題解析
発表情報:
日本機械学会論文集B 巻: 68 号: 666 ページ: 473-480
キーワード:
Inverse Solution, Two Dimensional Transient, Heat Conduction, Laplace Transformation
概要:
抄録:
An analytical method has been developed for inverse problem of two-dimensional heat conduction by using Laplace transform technique. The inverse problem is solved only for simple boundary cases ; the first one is one unknown surface condition and the second is two unknown surface condition and the other surfaces are insulated in a finite rectangular body. The method first approximates the temperature changes obtained in a solid with a half polynomial power series of time and the Fourier series of eigen function. The expression for the surface temperature is explicitly obtained in the form of the power series of time and the Fourier series. The results calculated for some representative cases show that the temperature can be predicted at good agreement compared with the given surface condition while the estimate of surface heat flux becomes slightly worse than the surface temperature.

英語フィールド

Author:
Title:
Analytical Method in Two Dimensional Inverse Heat Conduction Problem Using Laplace Transformation
Announcement information:
Transactions of the Japan Society of Mechanical Engineers, B Vol: 68 Issue: 666 Page: 473-480
Keyword:
Inverse Solution, Two Dimensional Transient, Heat Conduction, Laplace Transformation
An abstract:
An analytical method has been developed for inverse problem of two-dimensional heat conduction by using Laplace transform technique. The inverse problem is solved only for simple boundary cases ; the first one is one unknown surface condition and the second is two unknown surface condition and the other surfaces are insulated in a finite rectangular body. The method first approximates the temperature changes obtained in a solid with a half polynomial power series of time and the Fourier series of eigen function. The expression for the surface temperature is explicitly obtained in the form of the power series of time and the Fourier series. The results calculated for some representative cases show that the temperature can be predicted at good agreement compared with the given surface condition while the estimate of surface heat flux becomes slightly worse than the surface temperature.


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