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Analytical Approach with Laplace Transform to the Inverse Problem of One-Dimensional Heat Conduction Transfer: Application to Second and Third Boundary Conditions

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:
Heat Transfer - Asian Research

日本語フィールド

著者:
Hirofumi ARIMA, Masanori MONDE, Yuhichi MITSUTAKE
題名:
Analytical Approach with Laplace Transform to the Inverse Problem of One-Dimensional Heat Conduction Transfer: Application to Second and Third Boundary Conditions
発表情報:
Heat Transfer -Asian Research 巻: 32 号: 1 ページ: 29-41
キーワード:
概要:
抄録:
An analytical method using Laplace transformation has been developed for one-dimensional heat conduction. This method succeeded in explicitly deriving the analytical solution by which the surface temperature for the first kind of boundary condition can be well predicted. The analytical solutions for the surface temperature and heat flux are applied to the second and third of the boundary conditions. These solutions are also found to estimate the corresponding surface conditions with a high degree of accuracy when the surface conditions smoothly change. On the other hand, when these conditions erratically change such as the first derivative of temperature with time, the accuracy of the estimation becomes slightly less than that for a smooth condition. This trend in the estimation is similar irrespective of any kind of boundary condition.

英語フィールド

Author:
Hirofumi ARIMA, Masanori MONDE, Yuhichi MITSUTAKE
Title:
Analytical Approach with Laplace Transform to the Inverse Problem of One-Dimensional Heat Conduction Transfer: Application to Second and Third Boundary Conditions
Announcement information:
Heat Transfer -Asian Research Vol: 32 Issue: 1 Page: 29-41
An abstract:
An analytical method using Laplace transformation has been developed for one-dimensional heat conduction. This method succeeded in explicitly deriving the analytical solution by which the surface temperature for the first kind of boundary condition can be well predicted. The analytical solutions for the surface temperature and heat flux are applied to the second and third of the boundary conditions. These solutions are also found to estimate the corresponding surface conditions with a high degree of accuracy when the surface conditions smoothly change. On the other hand, when these conditions erratically change such as the first derivative of temperature with time, the accuracy of the estimation becomes slightly less than that for a smooth condition. This trend in the estimation is similar irrespective of any kind of boundary condition.


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