Study on Uncertainty of Two-Phase Flow Parameter Detection Based on Monte Carlo Method

Liu Li; Zhu Longxiang; Zhang Luteng; Ma Zaiyong; Sun Wan; Pan Liangming; Deng Jian

doi:10.13832/j.jnpe.2024.04.0038

Volume 45 Issue 4

Aug. 2024

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Article Navigation > Nuclear Power Engineering > 2024 > 45(4): 38-44

Liu Li, Zhu Longxiang, Zhang Luteng, Ma Zaiyong, Sun Wan, Pan Liangming, Deng Jian. Study on Uncertainty of Two-Phase Flow Parameter Detection Based on Monte Carlo Method[J]. Nuclear Power Engineering, 2024, 45(4): 38-44. doi: 10.13832/j.jnpe.2024.04.0038

Citation:

Liu Li, Zhu Longxiang, Zhang Luteng, Ma Zaiyong, Sun Wan, Pan Liangming, Deng Jian. Study on Uncertainty of Two-Phase Flow Parameter Detection Based on Monte Carlo Method[J]. Nuclear Power Engineering, 2024, 45(4): 38-44. doi: 10.13832/j.jnpe.2024.04.0038

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Study on Uncertainty of Two-Phase Flow Parameter Detection Based on Monte Carlo Method

doi: 10.13832/j.jnpe.2024.04.0038

Liu Li^{1, 2
,},
Zhu Longxiang^{1, 2, 3
,
,},
Zhang Luteng^{1, 2},
Ma Zaiyong^{1, 2},
Sun Wan^{1, 2},
Pan Liangming^{1, 2},
Deng Jian⁴

1.
Key Laboratory of Low-grade Energy Utilization Technologies and Systems, Ministry of Education, Chongqing University, Chongqing, 400044, China
2.
Postdoctoral Station of Power Engineering and Engineering Thermophysics, Chongqing University, Chongqing, 400044, China
3.
Department of Nuclear Engineering and Technology, Chongqing University, Chongqing, 400044, China
4.
Nuclear Power Institute of China, Chengdu, 610213, China

Received Date: 2023-10-17
Rev Recd Date: 2024-06-07
Publish Date: 2024-08-12

Abstract

Abstract

Bubble velocity and bubble number are key parameters for calculating the phase characteristics such as interfacial area concentration, so it is necessary to study the uncertainty of bubble velocity and number measured by the conductivity probe. The Monte Carlo method is adopted to generate a large number of random bubble motion samples, and the statistical law of1~6 mm bubbles captured by the probe is obtained. By introducing the relative velocity fluctuation component H, the influence of bubble transverse velocity on the effective bubble number and bubble velocity is studied. The results show that the presence of bubble transverse velocity alleviates the inability to measure smaller bubbles due to the probe transverse spacing. However, the number of effective bubbles significantly decreases and the number of escaping bubbles increases with the increase of bubble transverse velocity. Meanwhile, the velocity error only comes from the probe transverse spacing when H=0, and the velocity error decreases with the increase of the bubble diameter. When H≠0, for bubbles with a diameter greater than 3 mm, the transverse movement of the bubbles to the left or right makes the probe pass through the bubbles far from the central axis, which leads to the increase of the actual moving distance of the bubbles and the increase of the velocity error. This study can provide a reference for determining and correcting the uncertainty of two-phase flow parameters such as interfacial area concentration.
- Monte Carlo method,
- Bubble transverse velocity,
- Effective bubble number,
- Hitting angle

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References(15)

References

[1]	KATAOKA I, ISHII M, SERIZAWA A. Local formulation and measurements of interfacial area concentration in two-phase flow[J]. International Journal of Multiphase Flow, 1986, 12(4): 505-529. doi: 10.1016/0301-9322(86)90057-1
[2]	REVANKAR S T, ISHII M. Local interfacial area measurement in bubbly flow[J]. International Journal of Heat and Mass Transfer, 1992, 35(4): 913-925. doi: 10.1016/0017-9310(92)90257-S
[3]	LEUNG W H, REVANKAR S T, ISHII Y, et al. Axial development of interfacial area and void concentration profiles measured by double-sensor probe method[J]. International Journal of Heat and Mass Transfer, 1995, 38(3): 445-453. doi: 10.1016/0017-9310(94)00181-T
[4]	SHEN X Z, NAKAMURA H. Local interfacial velocity measurement method using a four-sensor probe[J]. International Journal of Heat and Mass Transfer, 2013, 67: 843-852. doi: 10.1016/j.ijheatmasstransfer.2013.08.064
[5]	KIM S, FU X Y, WANG X, et al. Development of the miniaturized four-sensor conductivity probe and the signal processing scheme[J]. International Journal of Heat and Mass Transfer, 2000, 43(22): 4101-4118. doi: 10.1016/S0017-9310(00)00046-6
[6]	HIBIKI T, HOGSETT S, ISHII M. Local measurement of interfacial area, interfacial velocity and liquid turbulence in two-phase flow[J]. Nuclear Engineering and Design, 1998, 184(2-3): 287-304. doi: 10.1016/S0029-5493(98)00203-9
[7]	REVANKAR S T, ISHII M. Theory and measurement of local interfacial area using a four sensor probe in two-phase flow[J]. International Journal of Heat and Mass Transfer, 1993, 36(12): 2997-3007. doi: 10.1016/0017-9310(93)90029-6
[8]	KATAOKA I, ISHII M, SERIZAWA A. Sensitivity analysis of bubble size and probe geometry on the measurements of interfacial area concentration in gas-liquid two-phase flow[J]. Nuclear Engineering and Design, 1994, 146(1-3): 53-70. doi: 10.1016/0029-5493(94)90320-4
[9]	SHEN X Z, SAITO Y, MISHIMA K, et al. Methodological improvement of an intrusive four-sensor probe for the multi-dimensional two-phase flow measurement[J]. International Journal of Multiphase Flow, 2005, 31(5): 593-617. doi: 10.1016/j.ijmultiphaseflow.2005.02.003
[10]	SHEN X Z, MISHIMA K, NAKAMURA H. Error reduction, evaluation and correction for the intrusive optical four-sensor probe measurement in multi-dimensional two-phase flow[J]. International Journal of Heat and Mass Transfer, 2008, 51(3-4): 882-895. doi: 10.1016/j.ijheatmasstransfer.2006.01.054
[11]	WU Q, ISHII M. Sensitivity study on double-sensor conductivity probe for the measurement of interfacial area concentration in bubbly flow[J]. International Journal of Multiphase Flow, 1999, 25(1): 155-173. doi: 10.1016/S0301-9322(98)00037-8
[12]	WU Q, WELTER K, MCCREARY D, et al. Theoretical studies on the design criteria of double-sensor probe for the measurement of bubble velocity[J]. Flow Measurement and Instrumentation, 2001, 12(1): 43-51. doi: 10.1016/S0955-5986(00)00041-8
[13]	WANG D W, FU Y C, LIU Y, et al. A comprehensive uncertainty evaluation of double-sensor conductivity probe[J]. Progress in Nuclear Energy, 2021, 136: 103741. doi: 10.1016/j.pnucene.2021.103741
[14]	WANG D, LIU Y, TALLEY J D. Numerical evaluation of the uncertainty of double-sensor conductivity probe for bubbly flow measurement[J]. International Journal of Multiphase Flow, 2018, 107: 51-66. doi: 10.1016/j.ijmultiphaseflow.2018.05.019
[15]	LE CORRE J M, ISHII M. Numerical evaluation and correction method for multi-sensor probe measurement techniques in two-phase bubbly flow[J]. Nuclear Engineering and Design, 2002, 216(1-3): 221-238. doi: 10.1016/S0029-5493(02)00130-9