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Evaluation of the approach based on the concept of hyperbolicity breaking for prediction of flooding velocity of both room temperature and cryogenic fluids

机译：基于双曲性概念的方法评价，用于预测室温和低温流体的洪水速度

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摘要

The theoretical approach for the prediction of flooding velocity based on the concept of hyperbolicity breaking was evaluated in the counter-current two-phase flow. Detailed mathematical derivations of neutral stability condition together with the correlation of the void fraction are presented. The flooding velocity is obtained by assuming that the wavelength at flooding is proportional to the wavelength of the fastest-growing wave at Helmholtz instability. Some available experimental data for different fluid pair flow in inclined tubes is adopted for comparison with the theoretical calculations, which includes the data of water/air, aqueous oleic acid natrium solution/air, Aq. butanol 2%/air and kerosene/air in the published papers, as well as the liquid nitrogen/vapor nitrogen by the present authors. The comparison of flooding velocity proves that the approach can predict the flooding velocity with accepted accuracy for the water/air and liquid nitrogen/vapor nitrogen flow if the tube diameter is greater than 9 mm. While the diameter is smaller than 9 mm, regardless of the inclinations and the fluid pairs, the error becomes larger relative to the cases of diameter larger than 9 mm. The calculations for small diameter cases also fail to predict the critical liquid velocity at which the flooding velocity of gas reaches the maximum value, as revealed by the experiments. The reasons for the increased errors were qualitatively explained.
机译：基于双曲分离概念预测洪水速度预测的理论方法，在反电流两相流中评价。呈现了中性稳定性条件的详细数学推导率与空隙率分数的相关性。通过假设洪水的波长与Helmholtz不稳定性的最快增长波的波长成比例而获得泛洪速度。采用一些可用的不同流体对流动在倾斜管中的实验数据，以与理论计算比较，包括水/空气，油酸水溶液溶液/空气，水平的数据。丁醇2％/空气和煤油/空气在公布的纸中，以及本作者的液氮/蒸气氮。洪水速度的比较证明，如果管直径大于9mm，该方法可以预测水/空气和液氮/蒸汽氮气流量的洪水速度。虽然直径小于9mm，但无论倾斜和流体对如何，相对于直径大于9mm的情况，误差变大。小直径壳体的计算也未能预测天然气的洪水速度达到最大值的临界液体速度，如实验所揭示的那样。更高误差的原因是定性解释的。

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  • 来源
    《Cryogenics》 |2018年第2018期|共7页
  • 作者

    Zhou Rui; Yu Liu; Xie Huangjun; Qiu Limin; Zhi Xiaoqin; Zhang Xiaobin;

  • 作者单位

    Zhejiang Univ Inst Refrigerat &

    Cryogen Key Lab Refrigerat &

    Cryogen Technol Zhejiang Pro Hangzhou 310027 Zhejiang Peoples R China;

    Zhejiang Univ Inst Refrigerat &

    Cryogen Key Lab Refrigerat &

    Cryogen Technol Zhejiang Pro Hangzhou 310027 Zhejiang Peoples R China;

    Zhejiang Univ Inst Refrigerat &

    Cryogen Key Lab Refrigerat &

    Cryogen Technol Zhejiang Pro Hangzhou 310027 Zhejiang Peoples R China;

    Zhejiang Univ Inst Refrigerat &

    Cryogen Key Lab Refrigerat &

    Cryogen Technol Zhejiang Pro Hangzhou 310027 Zhejiang Peoples R China;

    Zhejiang Univ Inst Refrigerat &

    Cryogen Key Lab Refrigerat &

    Cryogen Technol Zhejiang Pro Hangzhou 310027 Zhejiang Peoples R China;

    Zhejiang Univ Inst Refrigerat &

    Cryogen Key Lab Refrigerat &

    Cryogen Technol Zhejiang Pro Hangzhou 310027 Zhejiang Peoples R China;

  • 收录信息
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类 制冷工程;低温物理学;
  • 关键词

    Flooding; Liquid nitrogen; Inclined tube; Hyperbolicity breaking;

    机译：洪水;液氮;倾斜管;双曲性打破;

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