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Transient heat flux deduction for a slab of finite thickness using surface temperature measurements

机译:使用表面温度测量法对有限厚度的平板进行瞬态热通量扣除

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摘要

Heat flux at a wall can be derived from time resolved measurements of the surface temperature. Current methods, which do not use temperature gradient measurements, obtain the heat flux by solving the heat equation in a wall of infinite thickness with the temperature input as a time-dependent boundary condition. The presumption of an infinite thickness and the use of these algorithm severely restricts the validity of the solution. In this paper we propose an analytical solution for a slab of finite thickness, we refer to our new algorithm as the slab model. If the opposite surface can be assumed to be ideally insulated and the properties of the wall are not temperature dependent, the heat flux can be determined solely by the surface temperature history. The slab model is derived from the Fourier equation and a method for its implementation is proposed. This algorithm is compared to the Cook-Felderman algorithm (CF), which assumes the semi-infinite medium condition. The possible error, the algorithm dependencies, as well as the noise rejection performance of the slab model are discussed.
机译:壁面的热通量可以从时间分辨的表面温度测量中得出。当前不使用温度梯度测量的方法,通过求解无限厚壁中的热方程来获得热通量,并将温度输入作为与时间有关的边界条件。无限厚度的推定和这些算法的使用严重限制了解决方案的有效性。在本文中,我们提出了一个有限厚度平板的解析解,我们将我们的新算法称为平板模型。如果可以假设相对的表面是理想的绝热材料,并且壁的特性与温度无关,则热通量可以仅由表面温度历史确定。从傅立叶方程推导了平板模型,并提出了其实现方法。将该算法与假定半无限介质条件的Cook-Felderman算法(CF)进行了比较。讨论了可能的误差,算法依赖性以及平板模型的噪声抑制性能。

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