Research on Method for Detecting Pipeline Blockages Based on Fluid Oscillation Theory
Abstract
:1. Introduction
2. Mathematical Model of Single Tube with Blockage
2.1. Single-Tube Blockage Model and Governing Equation
2.2. Analytical Solution under Fixed Boundary Conditions
- 1.
- The attenuation parameters of each harmonic are the sum of R and .
- 2.
- The sum of the components in each harmonic can be used to represent the pressure fluctuation of the blocked pipe, and the R value of the different harmonics is independent of the degree of harmonics n and exhibits exponential attenuation.
- 3.
- The values of are different for each harmonic, which is also key to detecting blockages.
- 4.
- is related to the location and magnitude of the blockage, but not to the location of the measurement.
3. Application of Fluid Oscillation Theory to Detection of Pipe Blockage
3.1. Fourier Series Analysis
3.2. Blockage Detection
3.2.1. Detection of Blockage Location
3.2.2. Detection of Blockage Magnitude
4. Experimental Verification of Blockage Detection
4.1. Experimental System
4.2. Experimental Verification
4.3. Results Discussion
5. Conclusions
- Based on the theory of fluid oscillation and the method of Fourier series analysis to detect the blockage problem in a pipeline system, the location and magnitude of blockage were determined using the parameters of blockage attenuation fluctuation caused by the blockage.
- The fluctuating pressures under the fluid oscillation of the pipeline system can be expressed as the sum of a series of harmonic components, each of which is exponentially attenuated by the sum of the attenuation parameters R and the blockage attenuation parameters ; when the pipeline blockage position is confirmed, the magnitude can be calculated by the blockage attenuation parameter R of each individual harmonic component.
- A pipeline test bench for detecting blockages was constructed according to the existing pipeline simulation test bench, and simulation experiments were designed to verify the blockage detection method. The experimental results show that the proposed method is accurate, reliable, and provides a reference for its application in practical engineering.
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Conflicts of Interest
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No. | Name | Quantity | Model | Remarks |
---|---|---|---|---|
1 | Centrifugal pumps | 8 | Motor ZS50-32-160/2.2, power 2.2 kW | − |
2 | Turbine flowmeters | 2 | LW-40, output signal 4–20 mA | 0.5% accuracy |
3 | Pressure sensors | 13 | Range 0–700 kPa, −100–500 kPa | − |
4 | Ball valves | 8 | Q41F-16, nominal pressure 1.6 Mpa | − |
5 | Pipeline | − | DN40 | Stainless steel |
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Wu, K.; Feng, Y.; Xu, Y. Research on Method for Detecting Pipeline Blockages Based on Fluid Oscillation Theory. Energies 2022, 15, 5373. https://doi.org/10.3390/en15155373
Wu K, Feng Y, Xu Y. Research on Method for Detecting Pipeline Blockages Based on Fluid Oscillation Theory. Energies. 2022; 15(15):5373. https://doi.org/10.3390/en15155373
Chicago/Turabian StyleWu, Kai, Yujie Feng, and Ying Xu. 2022. "Research on Method for Detecting Pipeline Blockages Based on Fluid Oscillation Theory" Energies 15, no. 15: 5373. https://doi.org/10.3390/en15155373