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首页> 外文期刊>Journal of Heat Transfer >Estimation of Unknown Boundary Heat Flux in Laminar Circular Pipe Flow Using Functional Optimization Approach: Effects of Reynolds Number
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Estimation of Unknown Boundary Heat Flux in Laminar Circular Pipe Flow Using Functional Optimization Approach: Effects of Reynolds Number

机译：使用函数优化方法估算层流圆形管流动中的未知边界热通量：雷诺数的影响

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摘要

An inverse forced convection problem was studied in this paper. The unknown space-dependent heat flux at the outer boundary of a circular pipe was identified from the temperature measurements within the flow using the algorithm based on an improved conjugate gradient method, which is a combination of the modified inverse algorithm proposed by Ozisik et al. (Huang and Ozisik, 1992, "Inverse Problem of Determining Unknown Wall Heat Flux in Laminar Flow Through a Parallel Plate Duct," Numer. Heat Transfer, Part A 21, pp. 2615-2618) and the general inverse algorithm based on the conjugate gradient method. The effects of the convection intensity, the number of thermocouples, the location of the thermocouples, and the measurement error on the performance of the modified inverse algorithm method and the improved inverse algorithm were studied thoroughly through three examples. It is shown that the improved inverse algorithm can greatly improve the solution accuracy in the entire computation domain. The accuracy and stability of both the modified inverse algorithm method and the improved inverse algorithm are strongly influenced by the Reynolds number and the shape of the unknown heat flux. Those functions, which contain more high-frequency components of Fourier series, are more sensitive to the increase in the Reynolds number.
机译：本文研究了逆向对流问题。使用基于改进共轭梯度法的算法从流内的温度测量值中识别出圆形管道外边界处未知的与空间有关的热通量，该算法是由Ozisik等人提出的改进逆算法的组合。 （Huang和Ozisik，1992，“确定通过平行板风道的层流中未知壁热通量的逆问题”，Numer。传热，A部分21，第2615-2618页）和基于共轭的通用逆算法梯度法。通过三个实例深入研究了对流强度，热电偶数量，热电偶的位置以及测量误差对改进的逆算法方法和改进的逆算法性能的影响。结果表明，改进的逆算法可以大大提高整个计算域的求解精度。改进的逆算法方法和改进的逆算法的准确性和稳定性都受到雷诺数和未知热通量形状的强烈影响。那些包含更多傅里叶级数高频分量的函数对雷诺数的增加更加敏感。

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