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An analytical solution for two-dimensional inverse heat conduction problems using Laplace transform

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:
2003年01月
DOI:
会議属性:
指定なし
査読:
有り
リンク情報:
International Journal of Heat and Mass Transfer

日本語フィールド

著者:
Masanori MONDE, Hirofumi ARIMA, Wei LIU, Yuhichi MITSUTAKE, Jaffar A. Hammad
題名:
An analytical solution for two-dimensional inverse heat conduction problems using Laplace transform
発表情報:
International Journal of Heat and Mass Transfer 巻: 46 号: 12 ページ: 2135-2148
キーワード:
Inverse solution; Two-dimensional heat conduction; Laplace transform; Transient
概要:
抄録:
An analytical method has been developed for two-dimensional inverse heat conduction problems by using the Laplace transform technique. The inverse solutions are obtained under two simple boundary conditions in a finite rectangular body, with one and two unknowns, respectively. The method first approximates the temperature changes measured in the body with a half polynomial power series of time and Fourier series of eigenfunction. The expressions for the surface temperature and heat flux are explicitly obtained in a form of power series of time and Fourier series. The verifications for two representative testing cases have shown that the predicted surface temperature distribution is in good agreement with the prescribed surface condition, as well as the surface heat flux.

英語フィールド

Author:
Masanori MONDE, Hirofumi ARIMA, Wei LIU, Yuhichi MITSUTAKE, Jaffar A. Hammad
Title:
An analytical solution for two-dimensional inverse heat conduction problems using Laplace transform
Announcement information:
International Journal of Heat and Mass Transfer Vol: 46 Issue: 12 Page: 2135-2148
Keyword:
Inverse solution; Two-dimensional heat conduction; Laplace transform; Transient
An abstract:
An analytical method has been developed for two-dimensional inverse heat conduction problems by using the Laplace transform technique. The inverse solutions are obtained under two simple boundary conditions in a finite rectangular body, with one and two unknowns, respectively. The method first approximates the temperature changes measured in the body with a half polynomial power series of time and Fourier series of eigenfunction. The expressions for the surface temperature and heat flux are explicitly obtained in a form of power series of time and Fourier series. The verifications for two representative testing cases have shown that the predicted surface temperature distribution is in good agreement with the prescribed surface condition, as well as the surface heat flux.


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