### 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. HammadTitle：Analytical Method of Two-Dimensional Inverse Heat Conduction Problem Using Laplace Transformation: Effect of Number of Measurement PointsAnnouncement information:Heat Transfer - Asian Research Vol: 32 Issue: 7 Page: 618-629Keyword：inverse solution, two-dimensional transient heat conduction, Laplace transformationAn 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.