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Modelling and analysis of full-wavelength phase volume fraction measurement in liquid-solid two-phase flow

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  • Fang, Lide
  • Jia, Huijun
  • Zheng, Meng
  • Dong, Jiayi
  • Xu, Xinrui

Abstract

Aiming at the problem of accurate measurement of the phase volume fraction in liquid-solid two-phase flow, this paper analyses and compares the existing theoretical models of phase volume fraction, and establishes a full-wavelength phase volume fraction measurement model applicable to a variety of particle sizes and taking acoustic losses into account. A multi-channel ultrasonic simultaneous measurement sensor is designed and the average particle diameter of the particulate phase is inverted using the two-frequency method, and the results are compared with the results of the image method with a Mean Absolute Percentage Error (MAPE) of 10.51 %, which verifies the accuracy of the ultrasonic measurement sensor. Using the full-wavelength measurement model to invert the particulate phase volume fraction, the MAPE ranged from −11.77 % to 13.94 %, which validated the applicability and effectiveness of the full-wavelength phase volume fraction model. A large-diameter non-full-pipe liquid-solid two-phase flow test system is constructed, and the multi-channel ultrasonic simultaneous measurement sensor and the full-wavelength phase content rate model are extended and applied to the large-diameter sewage flow simulation experiments, and the MAPE of the phase volume fraction measurements is within ±10 %, which provides an effective means of measuring the phase volume fraction of particles in the non-full-pipe liquid-solid two-phase flow.

Suggested Citation

  • Fang, Lide & Jia, Huijun & Zheng, Meng & Dong, Jiayi & Xu, Xinrui, 2025. "Modelling and analysis of full-wavelength phase volume fraction measurement in liquid-solid two-phase flow," Energy, Elsevier, vol. 333(C).
    • Handle: RePEc:eee:energy:v:333:y:2025:i:c:s0360544225027835
    DOI: 10.1016/j.energy.2025.137141
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