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

被引：55

作者：

Monde, M ^{[1
]}

Arima, H ^{[1
]}

Liu, W ^{[1
]}

Mitutake, Y ^{[1
]}

Hammad, JA ^{[1
]}

机构：

[1] Saga Univ, Dept Mech Engn, Saga 8408502, Japan

来源：

INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER | 2003年 / 46卷 / 12期

关键词：

inverse solution; two-dimensional heat conduction; Laplace transform; transient;

D O I：

10.1016/S0017-9310(02)00510-0

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

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. (C) 2003 Elsevier Science Ltd. All rights reserved.

引用

页码：2135 / 2148

页数：14

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