Abstract The article presents an inverse method for the reconstruction of the spatial distribution of the heat transfer coefficient (HTC) for impinging jets. Single jet influence the heat exchange on limited range, thus the HTC is reconstructed for an array of jets. In this article, there is a discussion regarding an influence of the geometrical parameters and Reynolds number on the spatial distribution of HTC. An inverse method used for HTC retrieval assumes the functional form of temperature and heat flux at the solid surface impinged by the jet. Later, the functional is parameterized and the definition of the convective boundary condition is used to force the temporal invariability of HTC. The parameters of the function are determined from the least squares fit of the temperatures obtained from the inverse model and measured ones. Application of the Levenberg-Marquardt algorithm for solving least squares problem together with a formulation of the inverse problem decreases the influence of the ill-posedness of the inverse problem and thus improves the quality of the results.

中文翻译：

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自由表面水射流阵列传热系数的确定

摘要 本文提出了一种用于重建撞击射流传热系数 (HTC) 空间分布的逆方法。单射流影响有限范围内的热交换，因此 HTC 被重建为一系列射流。在本文中，讨论了几何参数和雷诺数对 HTC 空间分布的影响。用于 HTC 反演的逆方法假设了射流撞击固体表面的温度和热通量的函数形式。后来，函数被参数化，对流边界条件的定义被用来强制 HTC 的时间不变性。该函数的参数由从逆模型获得的温度和测量的温度的最小二乘拟合确定。