Evaluation of the Turbulence Model Influence on the Numerical Simulation of Cavitating Flow with Emphasis on Temperature Effect
Abstract
:1. Introduction
2. Mathematical Formation
2.1. Governing Equations
2.2. Turbulence Model
2.2.1. Turbulence Model
2.2.2. RNG Turbulence Model
2.2.3. SST Turbulence Model
2.2.4. Modification of Turbulence Model
2.3. Cavitation Model for Thermosensitive Fluids
3. Numerical Setup and Validation
3.1. NACA0015 Hydrofoil Geometry Model
3.2. Mesh Implementation
3.3. Boundary Conditions
3.4. Mesh Independence Study
4. Results and Discussion
4.1. Influence of Different Turbulence Models on NACA0015 at 25 °C
4.2. Influence of Different Turbulence Models on NACA0015 at 50 °C
4.3. Influence of Different Turbulence Models on NACA0015 at 70 °C
4.4. Influence of Modified RNG k-ε Model on NACA0015 Hydrofoil at Different Temperatures
5. Conclusions
- (1)
- At 25 °C, the correction effect is significant for the modified k-ε model, and the vortex is eliminated in the closed area of the cavity tail. The simulation results obtained from the modified RNG k-ε model and the SST k-ω model showed reasonably good agreement with the experimental results.
- (2)
- At 50 °C, the modified RNG k-ε model and the modified SST k-ω model have a small difference between numerical results and experimental results for the RMS error and the maximum deviation.
- (3)
- At 70 °C, the modified RNG k-ε model is smaller than the result of the modified SST k-ω model in terms of the RMS error and the maximum deviation. The turbulent kinetic energy of the modified SST k-ω model near the wall is significantly larger than that obtained by the modified RNG k-ε model, and the cavitation is more serious, which is quite different from the experimental results.
- (4)
- The feasibility of the modified RNG k-ε turbulence model is demonstrated using this model to simulate cavitating flow around the NACA0015 hydrofoil at different temperatures of water.
Author Contributions
Funding
Acknowledgments
Conflicts of Interest
References
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Fluid | Temperature T∞ (K) | Inlet Speed uin (m/s) | Outlet Pressure pout (Pa) |
---|---|---|---|
Water | 298 (25 °C) | 8 | 51,025 |
Water | 323 (50 °C) | 8 | 59,768 |
Water | 343 (70 °C) | 8 | 78,110.4 |
Mesh | Mesh Nodes | Min Angle | Max Aspect Ratio | Min Determinant | Min Quality |
---|---|---|---|---|---|
1 | 1,138,840 | 46.08 | 145 | 0.794 | 0.72 |
2 | 2,847,100 | 46.08 | 56.1 | 0.794 | 0.72 |
3 | 4,555,360 | 46.08 | 34.8 | 0.794 | 0.72 |
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Deng, Y.; Feng, J.; Wan, F.; Shen, X.; Xu, B. Evaluation of the Turbulence Model Influence on the Numerical Simulation of Cavitating Flow with Emphasis on Temperature Effect. Processes 2020, 8, 997. https://doi.org/10.3390/pr8080997
Deng Y, Feng J, Wan F, Shen X, Xu B. Evaluation of the Turbulence Model Influence on the Numerical Simulation of Cavitating Flow with Emphasis on Temperature Effect. Processes. 2020; 8(8):997. https://doi.org/10.3390/pr8080997
Chicago/Turabian StyleDeng, Yilin, Jian Feng, Fulai Wan, Xi Shen, and Bin Xu. 2020. "Evaluation of the Turbulence Model Influence on the Numerical Simulation of Cavitating Flow with Emphasis on Temperature Effect" Processes 8, no. 8: 997. https://doi.org/10.3390/pr8080997