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New method for the determination of convective heat transfer coefficient in fully-developed laminar pipe flow

管道充分发展层流中对流换热系数的准确计算新方法

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Abstract

Convective heat transfer coefficient is one of the most vital parameters which reveals the thermal efficiency of a pipe flow. To obtain such coefficients for problems with variable pipe wall temperature, numerical iterative methods should be used which could be time-consuming and less accurate. In this paper, thermophysical properties of fluids are assumed to be constant. We define a variable related to the temperature gradient of the pipe wall and study the varying law of the local coefficient. Then, a sample-based scheme is proposed to avoid the calculation of a time-consuming problem in the use of solutions with low computing cost. To verify its accuracy, several problems in normal circle pipes with variable factors, such as the various temperatures of the pipe wall, the different radius of the pipe, and various velocities of fluid flow, are well resolved. Meanwhile, its validity in a convergent pipe is also studied. From the obtained results, the high accuracy and efficiency of the proposed scheme can be confirmed. Therefore, the proposed scheme for determining the convective heat transfer coefficient has great potential in engineering problems.

摘要

对流换热系数是体现管道流换热效率的关键因数之一, 在管壁温度变化的问题中, 求解该系数的迭代方法通常较为耗时或不 精确. 本文假设流体的热物理性质是常数, 定义了一个与管壁温度梯度有关的变量, 对局部系数的变化规律进行了研究. 在此基础上, 提出了一种基于样本的计算格式, 该格式使用较低计算成本的样本解, 避免了对原耗时问题的直接求解. 为了证明该算法的精确性, 本 文考虑了不同因素的普通圆管问题, 例如: 不同的管壁温度, 不同的管道半径和不同的流体速度等, 这些问题均得到了很好地求解. 同 时, 该格式在一种渐缩管中的有效性也得到了验证. 数值结果表明, 所提格式具有较高的计算精度和效率. 因此, 在工程问题中可以采 用本文算法快速计算对流换热系数, 具有较好的工程应用前景.

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Authors and Affiliations

  1. Key Laboratory of Ministry of Education for Coastal Disaster and Protection, Hohai University, Nanjing, 210098, China

    Ji Lin  (林继)

  2. College of Mechanics and Materials, Hohai University, Nanjing, 211100, China

    Ji Lin  (林继) & Yongxing Hong  (洪永兴)

  3. Nanjing Hydraulic Research Institute, Hujuguan 34 Road, Nanjing, 210024, China

    Jun Lu  (陆俊)

Authors
  1. Ji Lin  (林继)
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  2. Yongxing Hong  (洪永兴)
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  3. Jun Lu  (陆俊)
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Corresponding author

Correspondence to Ji Lin  (林继).

Additional information

This work was supported by the National Natural Science Foundation of China (Grant No. 12072103), the Fundamental Research Funds for the Central Universities (Grant No. B200202126), the Natural Science Foundation of Jiangsu Province (Grant No. BK20190073), the State Key Laboratory of Acoustics, Chinese Academy of Sciences (Grant No. SKLA202001), and the China Postdoctoral Science Foundation (Grant Nos. 2017M611669 and 2018T110430).

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Lin, J., Hong, Y. & Lu, J. New method for the determination of convective heat transfer coefficient in fully-developed laminar pipe flow. Acta Mech. Sin. 38, 321430 (2022). https://doi.org/10.1007/s10409-021-09024-x

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  • DOI: https://doi.org/10.1007/s10409-021-09024-x

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