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首页> 外文期刊>International Journal of Heat and Mass Transfer >Filtered reciprocity functional approach to estimate internal heat transfer coefficients in 2D cylindrical domains using infrared thermography
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Filtered reciprocity functional approach to estimate internal heat transfer coefficients in 2D cylindrical domains using infrared thermography

机译：滤波互易函数法使用红外热像仪估算二维圆柱域内的内部传热系数

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摘要

Performance estimation of heat exchanger apparatuses requires a proper knowledge of the thermo-fluid dynamic interaction between fluid and device. One of the aspects to take into account is related to the estimation of the internal convective heat transfer coefficient. This requires the knowledge of the internal temperature and the internal wall heat flux, although these quantities are complicated to be measured. Therefore, the use of inverse problem techniques may be very useful for estimating these quantities. This approach deals with the estimation of the local internal properties, given some external temperature measurements, possibly by means of contactless experimental methodologies (i.e. infrared camera imaging).The solution strategy here presented, for a 2D model, is based on the Reciprocity Functional approach (RF), which requires the solution of two auxiliary problems that are solved, in this paper, by means of the Classical Integral Transform Technique (CITT). The RF approach coupled with CITT, presents some advantages over other techniques since its solution is completely analytical and therefore computationally fast, and it does not require any numerical simulation. Moreover, it deals with the noise content of the experimental data, filtering it and overcoming the documented limits of the classical RF approach. This original method, named Filtered Reciprocity Functional (FRF) approach, was applied to different test cases using simulated measurements, and the results were compared to both the exact and the reconstruct solutions obtained by the Truncated Singular Value Decomposition (TSVD) method, showing a good agreement. Finally, the FRF approach was applied to an experimental case in order to test its robustness when dealing with real data.
机译：热交换器设备的性能评估需要对流体与设备之间的热流体动态相互作用有适当的了解。要考虑的方面之一与内部对流传热系数的估计有关。这需要了解内部温度和内壁热通量，尽管这些量很难测量。因此，使用反问题技术对于估计这些数量可能非常有用。在某些外部温度测量的情况下，该方法处理局部内部特性的估计，可能通过非接触式实验方法（即红外摄像机成像）进行。这里提出的二维模型解决方案策略是基于互易函数方法（RF），它需要解决两个辅助问题，在本文中，这是通过经典积分变换技术（CITT）解决的。结合CITT的RF方法比其他技术具有一些优势，因为它的解决方案是完全解析的，因此计算速度很快，并且不需要任何数值模拟。此外，它处理实验数据的噪声含量，对其进行过滤，并克服了传统RF方法的文献记载的限制。该原始方法名为“过滤互易函数（FRF）”方法，通过模拟测量应用于不同的测试案例，并将结果与​​通过截断奇异值分解（TSVD）方法获得的精确解和重构解进行了比较，显示了好的协议。最后，将FRF方法应用于实验案例，以便在处理实际数据时测试其鲁棒性。

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