Estimation of Surface Temperature and Heat Flux Using Inverse Solution for One-Dimensional Heat Conduction
Estimation of Surface Temperature and Heat Flux Using Inverse Solution for One-Dimensional Heat Conduction
复制标题
使用一维热传导逆解估计表面温度和热通量
DOI：
10.1115/1.1560147
复制
发表时间：
2003
期刊：
影响因子：
--
通讯作者：
Y. Mitsutake
中科院分区：
文献类型：
--
作者：
M. Monde;H. Arima;Y. Mitsutake
利用拉普拉斯变换技术，给出了有限体内两个位置温度已知时热传导反问题的一种解析方法。在这些已知温度的基础上，可以得到逆解的封闭形式来预测表面条件。该方法首先用时间的半多项式幂序列和时间延迟来近似测量的温度，这需要监视器感测该点的温度变化。给出了表面温度和表面热流密度的时间幂函数表达式
An analytical method has been developed for the inverse heat conduction problem using the Laplace transform technique when the temperatures are known at two positions within a finite body. On the basis of these known temperatures, a closed form to the inverse solution can be obtained to predict surface conditions. The method first approximates the measured temperatures with a half polynomial power series of time as well as a time lag, which takes for a monitor to sense the temperature change at the point. The expressions for the surface temperature and the surface heat flux are explicitly obtained in the form of the power series of time