Numerical Simulation of a Three-Stage Electrical Submersible Pump under Stall Conditions
Abstract
:1. Introduction
2. Numerical Methods
2.1. Turbulence Model
2.2. Entropy Production
2.3. Computational Model
2.4. Mesh and Boundary Condition
3. Results and Discussions
3.1. External Characteristics Comparison
3.2. Analysis of Flow Field under Design Conditions
3.3. Analysis of Flow Field under Critical Stall Conditions
3.4. Analysis of Flow Field under Deep Stall Conditions
3.5. Vortex Evolution Process in the Impeller and Diffuser under Stall Conditions
3.6. Energy Loss Analysis
4. Conclusions
- (1)
- Under critical stall conditions, impeller 1 generates inlet and multiple channel vortices, which when combined with inherent secondary flow and wake, result in turbulence within the impeller’s flow field. The internal vortex evolution period of impeller 1 is approximately 0.75T; however, the scale of internal vortices in impellers 2 and 3 is small with no apparent evolution period.
- (2)
- Under deep stall conditions, large-scale vortex structures manifest within all stages of the impeller, resulting in severe channel blockage. Flow separation commences at the leading edge of the guide vanes in the diffuser, with vortices developing and expanding inside the channel to cause a significant impact on outlet performance. The scales and evolution patterns of these vortices vary across different channels within impeller 1.
- (3)
- The turbulent entropy production power within the impeller and diffuser constitutes the primary component of total entropy production power. The entropy production power loss inside the impeller increases with the increase in stages, and the power loss inside the diffuser is the same in each stage. Under deep stall conditions, frequent vortex shedding inside these components results in significant energy loss.
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
References
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Constants | Value |
---|---|
0.31 | |
5/9 | |
0.44 | |
3/40 | |
0.0828 | |
9/100 | |
0.85 | |
1 | |
0.5 | |
0.856 |
Impeller Hydraulic Geometry Parameters | Hydraulic Geometry Parameters of Diffuser | ||
---|---|---|---|
Inlet inner diameter Dimph1/mm | 36 | Inlet inner diameter Ddifh1/mm | 76 |
Inlet outer diameter Dimps1/mm | 86.5 | Inlet outer diameter Ddifs1/mm | 117.5 |
Outlet inner diameter Dimph2/mm | 82 | Outlet inner diameter Ddifh2/mm | 36.5 |
Outlet outer diameter Dimps2/mm | 113.5 | Outlet outer diameter Ddifs2/mm | 86.5 |
Number of blades Zimp/vanes | 7 | Number of blades Zdif/ vanes | 11 |
Inlet blade angle βimp1/° | 25 | Inlet blade angle βdif1/° | 55 |
Outlet blade angle βimp2/° | 36 | Outlet blade angle βdif2/° | 87 |
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Wang, Y.; Wang, Z.; Song, X.; Bai, L.; El-Emam, M.A.; Zhou, L. Numerical Simulation of a Three-Stage Electrical Submersible Pump under Stall Conditions. Water 2023, 15, 2619. https://doi.org/10.3390/w15142619
Wang Y, Wang Z, Song X, Bai L, El-Emam MA, Zhou L. Numerical Simulation of a Three-Stage Electrical Submersible Pump under Stall Conditions. Water. 2023; 15(14):2619. https://doi.org/10.3390/w15142619
Chicago/Turabian StyleWang, Yuqiang, Zhe Wang, Xiangyu Song, Ling Bai, Mahmoud A. El-Emam, and Ling Zhou. 2023. "Numerical Simulation of a Three-Stage Electrical Submersible Pump under Stall Conditions" Water 15, no. 14: 2619. https://doi.org/10.3390/w15142619