Study on the Damping Effect and Mechanism of Vertical Slotted Screens Based on the BM-MPS Method
Abstract
:1. Introduction
2. BM-MPS Method
2.1. Governing Equations
2.2. Operator Discretization
2.3. Pressure Poisson Equation
2.4. Pressure Gradient Model
2.5. Boundary Conditions
3. Numerical Model
4. Result and Discussion
4.1. The Effect of Porosity on Impact Pressure
4.2. The Effect of Slot Size on Impact Pressure
4.3. The Effect of Slotted Screen on the Resonance Period
4.4. The Effect of Rotation Amplitude on Impact Pressure
5. Conclusions
- The porosity was a crucial parameter that determined the damping effect of the slotted screen. Generally, the maximum impact pressure increased as the porosity increased. Meanwhile, with the decrease in the damping effect, the pattern of impact pressure changed from a mounded structure to a single peak structure, and then to a double peak structure, and the first peak became more and more prominent.
- The resonance characteristic of liquid sloshing with a vertical-slotted screen was bound up with the porosity. When the porosity was 0.1 or smaller, resonance was observed at around TE = 1.1 s. When the porosity was large, the resonance period was in the range of 1.8 to 2.0, varying around the period corresponding to the first natural frequency in the unbaffled condition. In addition, the decrease in the maximum impact pressure in resonance was not always consistent with the decrease in the porosity. The porosity of 0.15 was where the maximum impact pressure reached its minimum point, thereby achieving the most significant attenuation of sloshing. At this moment, the intensity of the vortex was at its largest. As for slotted screens, the combined effect of hydrodynamic damping and vortex damping had a better performance in sloshing suppression. This porosity is thus recommended for practical engineering applications.
- The size of the slot has a less significant effect on the impact pressure. When the porosity was the same but the slot size enlarged, the maximum impact pressure increased slightly. Nonetheless, the dissimilarity between the maximum impact pressure and pressure waveform was negligible.
- The rotation amplitude was a factor that affected the resonance period. As the amplitude increased, the resonance period changed from 1.91 s to 1.8 s. In addition, the maximum impact pressure increased as the maximum rotation angle increased.
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
References
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NUM | Sg | |||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|
2l0 | 3l0 | 4l0 | ||||||||||
pmax | δ | p1/3 | δ | pmax | δ | p1/3 | δ | pmax | δ | p1/3 | δ | |
1 | 0.694 | 1.57% | 0.692 | 1.66% | 0.845 | 10.76% | 0.745 | 3.61% | 1.003 | 18.32% | 0.765 | 4.34% |
2 | 0.713 | 1.17% | 0.669 | 1.74% | 0.767 | 0.50% | 0.716 | 0.46% | 0.930 | 9.68% | 0.744 | 1.53% |
3 | 0.682 | 3.27% | 0.685 | 0.73% | 0.738 | 3.24% | 0.740 | 2.90% | 0.877 | 3.38% | 0.741 | 1.09% |
4 | 0.722 | 2.39% | 0.694 | 2.03% | 0.784 | 2.73% | 0.721 | 0.30% | 0.828 | 2.33% | 0.744 | 1.51% |
5 | 0.732 | 3.82% | 0.677 | 0.46% | 0.771 | 1.09% | 0.717 | 0.26% | 0.830 | 2.07% | 0.724 | 1.28% |
6 | 0.697 | 1.07% | 0.685 | 0.60% | 0.744 | 2.54% | 0.709 | 1.38% | 0.779 | 8.09% | 0.702 | 4.28% |
7 | 0.702 | 0.42% | 0.674 | 0.92% | 0.742 | 2.79% | 0.712 | 1.05% | 0.751 | 11.46% | 0.720 | 1.75% |
8 | 0.699 | 0.91% | 0.677 | 0.50% | 0.728 | 4.59% | 0.698 | 2.98% | 0.829 | 2.26% | 0.731 | 0.31% |
9 | 0.704 | 0.14% | 0.671 | 1.39% | 0.748 | 1.93% | 0.714 | 0.67% | 0.804 | 5.16% | 0.727 | 0.83% |
Mean value | 0.704 | / | 0.680 | / | 0.756 | / | 0.718 | / | 0.84 | / | 0.733 | / |
RMSE(σ) | 0.015 | / | 0.008 | / | 0.033 | / | 0.013 | / | 0.076 | / | 0.018 | / |
e | ||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|
0.1 | 0.15 | 0.2 | 0.25 | 0.375 | 0.5 | |||||||
(rot)+ | (rot)− | (rot)+ | (rot)− | (rot)+ | (rot)− | (rot)+ | (rot)− | (rot)+ | (rot)− | (rot)+ | (rot)− | |
Mean value | 134.6 | −119.3 | 148 | −144.9 | 145.7 | −141.9 | 136.4 | −135.2 | 115 | −110.4 | 29.7 | −30.9 |
Valid value | 110.4 | −102.6 | 119.2 | −118.4 | 114.6 | −117.9 | 112.2 | −112.3 | 93.7 | −92.1 | 20.1 | −20.2 |
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Zhang, C.; Wang, L.; Xu, M. Study on the Damping Effect and Mechanism of Vertical Slotted Screens Based on the BM-MPS Method. J. Mar. Sci. Eng. 2023, 11, 1270. https://doi.org/10.3390/jmse11071270
Zhang C, Wang L, Xu M. Study on the Damping Effect and Mechanism of Vertical Slotted Screens Based on the BM-MPS Method. Journal of Marine Science and Engineering. 2023; 11(7):1270. https://doi.org/10.3390/jmse11071270
Chicago/Turabian StyleZhang, Changle, Lizhu Wang, and Min Xu. 2023. "Study on the Damping Effect and Mechanism of Vertical Slotted Screens Based on the BM-MPS Method" Journal of Marine Science and Engineering 11, no. 7: 1270. https://doi.org/10.3390/jmse11071270
APA StyleZhang, C., Wang, L., & Xu, M. (2023). Study on the Damping Effect and Mechanism of Vertical Slotted Screens Based on the BM-MPS Method. Journal of Marine Science and Engineering, 11(7), 1270. https://doi.org/10.3390/jmse11071270