Analytical Approach Solution with Laplace Transformation to the Inverse Problem of One Dimensional Heat Conduction.
Analytical Approach Solution with Laplace Transformation to the Inverse Problem of One Dimensional Heat Conduction.
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一维热传导反问题的拉普拉斯变换解析解法。
DOI：
10.1299/kikaib.66.519
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发表时间：
2000
期刊：
影响因子：
--
通讯作者：
T. Nishimoto
中科院分区：
文献类型：
--
作者：
M. Monde;Y. Mitsutake;Takahiro Siki;T. Nishimoto
本文提出了一种求解有限体中两个位置温度已知时热传导反问题的解析方法。在此基础上，利用拉普拉斯变换技术，求出了这两个位置以外的瞬态温度的封闭解。该方法首先近似的温度数据与时间的半多项式幂级数。表面温度和表面热通量的表达式显式地得到的时间的幂级数的形式。对一些代表性问题的数值计算结果表明，该方法可以很好地预测温度和热流。
An analytical method has been developed for the inverse heat conduction problem, when the temperatures are known at two positions in a finite body. On the basis of these known temperatures, a closed form solution is determined for the transient temperatures beyond the two positions by using Laplace transform technique. The method first approximates the temperature data with a half polynomial power series of time. The expressions for the surface temperature and the surface heat flux are explicitly obtained in the form of the power series of time. Numerical results for some representative problems show that the temperature and heat flux can be predicted well by this method.