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首页> 外文期刊>International Journal of Heat and Mass Transfer >Algorithms for the estimation of transient surface heat flux during ultra-fast surface cooling
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Algorithms for the estimation of transient surface heat flux during ultra-fast surface cooling

机译：估算超快速表面冷却过程中瞬态表面热通量的算法

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摘要

Surface heat flux is an important parameter in various industrial applications. This paper compared several algorithms for estimating surface heat flux using both simulated heat flux and measured temperature in response to ultra-fast surface cooling. Two different strategies were employed to measure the surface temperature, using the thin film thermocouple with a 2 μm depth deposited directly on the cooling substrate surface (direct surface temperature measurement) and the fine thermocouple with a 100 μm bead diameter placed on the surface of the cooling substrate and covered with aluminum foil (indirect surface temperature measurement). The algorithms of Duhamel's theorem, sequential function specification method (SFSM) and transfer function method are briefly analyzed. A new method is proposed that the surface temperature is first calculated based on Duhamel's theorem and then the surface heat flux can be estimated, in order to improve the accuracy of results in the case of the indirect surface temperature measurement method. The transfer function is obtained by solving an auxiliary problem and thus the transfer function method can be implemented to solve multilayer, semi-infinite inverse heat conduction problems. Accuracy and sensitivity to noise are examined using both the simulated triangular pulse heat flux and the measured temperature data. Duhamel's theorem is insensitive to noise, but is unsuitable for predicting surface heat flux in the indirect measurement method of surface temperature. The SFS method can provide acceptable results of surface heat flux using both measurement methods. However, a noticeable discrepancy exists as the heat flux changes extremely quickly and it suffers considerably from noise. The transfer function and newly proposed methods are both effective in inhibiting noise, and produce very similar results, which match the simulated heat flux exactly and have a negligible standard deviation and residual temperature.
机译：表面热通量是各种工业应用中的重要参数。本文比较了使用模拟热通量和实测温度响应超快速表面冷却而估算表面热通量的几种算法。采用两种不同的策略来测量表面温度，分别使用直接沉积在冷却基板表面上的深度为2μm的薄膜热电偶（直接表面温度测量）和将直径为100μm的微珠的精细热电偶放置在表面上。冷却基板并盖上铝箔（间接表面温度测量）。简要分析了Duhamel定理的算法，顺序函数指定方法（SFSM）和传递函数方法。提出了一种新的方法，首先基于Duhamel定理计算表面温度，然后可以估算表面热通量，以提高间接表面温度测量方法结果的准确性。传递函数是通过解决辅助问题而获得的，因此可以采用传递函数方法来解决多层半无限逆导热问题。使用模拟的三角脉冲热通量和测得的温度数据来检查噪声的准确性和敏感性。 Duhamel定理对噪声不敏感，但不适用于间接测量表面温度的方法来预测表面热通量。使用这两种测量方法，SFS方法均可提供可接受的表面热通量结果。但是，由于热通量变化非常快，并且存在很大的噪音，因此存在明显的差异。传递函数和新提出的方法都可以有效地抑制噪声，并且产生非常相似的结果，这些结果与模拟的热通量完全匹配，并且标准偏差和残留温度可以忽略不计。

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