Reconstruction of cross-sectional temperature distributions of water around a thin heating wire by inverse Abel transform of near-infrared absorption images
Reconstruction of cross-sectional temperature distributions of water around a thin heating wire by inverse Abel transform of near-infrared absorption images
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DOI：
10.1016/j.ijheatmasstransfer.2014.05.046
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发表时间：
2014-10
影响因子：
5.2
通讯作者：
N. Kakuta;K. Kondo;H. Arimoto;Yukio Yamada
中科院分区：
文献类型：
--
作者：
N. Kakuta;K. Kondo;H. Arimoto;Yukio Yamada
提出了一种重建细导线周围水的温度分布的方法。该方法是基于水在1412 nm波长处的吸收系数随温度的变化。在假设温度分布相对于导线是轴对称的情况下，可以通过对作为吸收系数的投影的吸光度的一维轮廓应用反阿贝尔变换(IAT)来确定该径向分布。为了稳健地执行IAT，测量的吸光度轮廓被近似为多个高斯函数，因为这些函数的IATS是解析获得的。本文给出了直径为0.05 mm的加热丝周围水的横截面温度图像的时间序列。它们清楚地指示了当产热率变化时温度分布的变化，分辨率小于0.1K。通过与数值模拟结果的比较，验证了这些结果。
A reconstruction method of temperature distributions of water around a thin heating wire is presented. This method is based on the temperature dependence of the absorption coefficient of water at the wavelength of 1412 nm. In the case that the temperature distribution is assumed to be axisymmetric with respect to the wire, this radial distribution can be determined by applying the inverse Abel transform (IAT) to a one-dimensional profile of the absorbance which is the projection of the absorption coefficient. To perform the IAT robustly, the measured absorbance profiles are approximated by multi-Gaussian functions because the IATs of these functions are obtained analytically. This paper shows a time series of cross-sectional temperature images of water around a heating wire with a diameter of 0.05 mm. They clearly indicate changes in the temperature distribution with a resolution of less than 0.1 K when the heat generation rate varies. These results are verified by comparison with numerically simulated results.