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Analytical solution to the two-dimensional inverse heat conduction problem in an axisymmetric cylindrical coordinate system

発表形態:
原著論文
主要業績:
主要業績
単著・共著:
分担執筆の共著
発表年月:
2024年08月
DOI:
https://doi.org/10.1016/j.ijthermalsci.2024.109335
会議属性:
指定なし
査読:
有り
リンク情報:

日本語フィールド

著者:
Y. Liu, Y. Mitsutake, M. Monde
題名:
Analytical solution to the two-dimensional inverse heat conduction problem in an axisymmetric cylindrical coordinate system
発表情報:
International Journal of Thermal Sciences 巻: 206 ページ: 109335
キーワード:
概要:
The inverse heat conduction problem involves estimating an unknown cooling or heating action based on internal temperature histories in a body. Such a problem is ill-posed because the estimated results are highly sensitive to input data noise. An analytical solution is developed for the two-dimensional inverse heat conduction problem in an axisymmetric cylindrical coordinate system using the Laplace transform technique. On the basis of the known temperatures at multiple measuring points distributed on two cylindrical measuring surfaces along the axial direction inside the solid, the expressions for the surface temperature and heat flux are explicitly obtained in the form of a power series of time and eigenfunctions of the space variable. A comprehensive estimation error assessment is conducted using the internal temperature distribution that is obtained using a direct heat conduction analysis under the prescribed stationary and moving boundary conditions. The constant thermal condition is well reproduced using the present inverse solution, except in the vicinity of the discontinuity point. In addition, the effective heat flux and effective heat transfer coefficient are introduced to obtain the best estimation of the transient heat transfer in the major cooling area of the rotating cylinder.
抄録:

英語フィールド

Author:
Y. Liu, Y. Mitsutake, M. Monde
Title:
Analytical solution to the two-dimensional inverse heat conduction problem in an axisymmetric cylindrical coordinate system
Announcement information:
International Journal of Thermal Sciences Vol: 206 Page: 109335
An abstract:
The inverse heat conduction problem involves estimating an unknown cooling or heating action based on internal temperature histories in a body. Such a problem is ill-posed because the estimated results are highly sensitive to input data noise. An analytical solution is developed for the two-dimensional inverse heat conduction problem in an axisymmetric cylindrical coordinate system using the Laplace transform technique. On the basis of the known temperatures at multiple measuring points distributed on two cylindrical measuring surfaces along the axial direction inside the solid, the expressions for the surface temperature and heat flux are explicitly obtained in the form of a power series of time and eigenfunctions of the space variable. A comprehensive estimation error assessment is conducted using the internal temperature distribution that is obtained using a direct heat conduction analysis under the prescribed stationary and moving boundary conditions. The constant thermal condition is well reproduced using the present inverse solution, except in the vicinity of the discontinuity point. In addition, the effective heat flux and effective heat transfer coefficient are introduced to obtain the best estimation of the transient heat transfer in the major cooling area of the rotating cylinder.


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