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Analytical Method of Two-Dimensional Inverse Heat Conduction Problem Using Laplace Transformation: Effect of Number of Measurement Points

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10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:
Masanori Monde, Hirofumi Arima, Wei Liu, Yuhichi Mitsutake, J. A. Hammad
題名:
Analytical Method of Two-Dimensional Inverse Heat Conduction Problem Using Laplace Transformation: Effect of Number of Measurement Points
発表情報:
Heat Transfer - Asian Research 巻: 32 号: 7 ページ: 618-629
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 the inverse problem of two-dimensional heat conduction using the Laplace transform technique. The inverse problem is solved for only two unknown surface conditions and the other surfaces are insulated in a finite rectangular body. In actual temperature measurement, the number of points in a solid is usually limited so that the number of temperature measurements required to approximate the temperature change in the solid becomes too small to obtain an approximate function using a half polynomial power series of time and the Fourier series of the eigenfunction. In order to compensate for this lack of measurement points, the third-order Spline method is recommended for interpolating unknown temperatures at locations between measurement points. Eight points are recommended as the minimum number of temperature measurement points. The calculated results for a number of representative cases indicate that the surface temperature and the surface heat flux can be predicted well, as revealed by comparison with the given surface condition.

英語フィールド

Author:
Masanori Monde, Hirofumi Arima, Wei Liu, Yuhichi Mitsutake, J. A. Hammad
Title:
Analytical Method of Two-Dimensional Inverse Heat Conduction Problem Using Laplace Transformation: Effect of Number of Measurement Points
Announcement information:
Heat Transfer - Asian Research Vol: 32 Issue: 7 Page: 618-629
Keyword:
inverse solution, two-dimensional transient heat conduction, Laplace transformation
An abstract:
An analytical method has been developed for the inverse problem of two-dimensional heat conduction using the Laplace transform technique. The inverse problem is solved for only two unknown surface conditions and the other surfaces are insulated in a finite rectangular body. In actual temperature measurement, the number of points in a solid is usually limited so that the number of temperature measurements required to approximate the temperature change in the solid becomes too small to obtain an approximate function using a half polynomial power series of time and the Fourier series of the eigenfunction. In order to compensate for this lack of measurement points, the third-order Spline method is recommended for interpolating unknown temperatures at locations between measurement points. Eight points are recommended as the minimum number of temperature measurement points. The calculated results for a number of representative cases indicate that the surface temperature and the surface heat flux can be predicted well, as revealed by comparison with the given surface condition.


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