This paper begins by reviewing some recent and important mathematical findings in one- and two-dimensional half-space studies for increasing the stability and hence predictive accuracy of both the local and projected heat flux based on time histories of local temperature sensors. Applications involving thin film heat flux gauges, null-point calorimetry and physical experiments benefit from the concepts related and demonstrated in this paper. Next, we investigate heat transfer in nozzle walls subject to a hot gas flow. The prediction of the heat flux near the throat region is often a critical issue. The focus of the present study involves the prediction of the throat surface temperature and heat flux based on interior temperature measurements located at a fixed axial position but at various radial locations,. The key fundamental analytic result of this paper indicates for early times (which depends on the thermal diffusivity) that the heat flux, q"(r;t) strongly dependents on both the temperature (T, °C) and heating rate (^, °C/s) as.
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机译：本文首先审查了一种基于局部温度传感器的时间历史的稳定性和二维半空间研究中的一些和二维半空间研究中的一些和二维半空间研究中的一些和二维半空间研究中的一些和二维半空间研究。涉及薄膜热通量计，空点热量测量和物理实验的应用受益于本文相关和证明的概念。接下来，我们研究喷嘴壁的热传递，受到热气流的影响。预测喉部区域附近的热通量通常是一个关键问题。本研究的焦点涉及基于位于固定轴向位置但在各种径向位置的内部温度测量来预测喉部温度和热通量。本文的关键基本分析结果表明，早期（取决于热扩散率），热通量，Q“（R; T）强烈地基于温度（T，°C）和加热速率（^， °C / s）如。
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