Experimental and Numerical Investigation on the Motion Responses of a Spar-Type Floating Structure with Aquaculture Feeding Systems
Abstract
:1. Introduction
2. Water Tank Experiment
2.1. Model Specifications
2.2. Experimental Conditions
3. Numerical Calculation
3.1. Calculation Equations
3.2. Computational Conditions
4. Results and Discussion
4.1. Experimental Results
4.2. Numerical Validation
4.3. Numerical Scenarios
4.4. Potential Applications
5. Conclusions
- (1)
- Compared to the large variations in the experimental results, the numerical results exhibited a clearer changing tendency.
- (2)
- Both experimental and numerical results indicated that the heave motion was essentially not affected by the installation of the feeding system.
- (3)
- Although the presence of the feeding system theoretically resulted in an increase in the Spar’s pitch motion, occasional decreases were found in the experiments due possibly to the effects of eddies. However, the overall inclination angle in the experiments did not exceed 1.2 degrees during the experimental wave periods, indicating a negligible impact of the current feeding system on the Spar’s motion.
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
Nomenclature
added mass coefficient matrix | |
damping coefficient matrix | |
restoring force coefficient matrix | |
external force acting on six DoF | |
center of gravity | |
gravitational acceleration | |
water depth | |
mooring line coefficient | |
representative diameter of Spar | |
inertia matrix | |
normal vector | |
wave period | |
converted wave period | |
velocity vector | |
coordinates | |
six DoF motions | |
velocity potential | |
incident wave height |
References
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Items | Units | Full-Scale Model | Scaled Model (1/56) |
---|---|---|---|
Spar-type floating structure | |||
Diameter (upper cylindrical pipe) | m | 4.8 | 0.09 |
Diameter (lower cylindrical pipe) | m | 7.8 | 0.14 |
Depth of the cone’s upper end | m | 4.0 | 0.07 |
Depth of the cone’s lower end | m | 10.0 | 0.18 |
Draft | m | 76.0 | 1.36 |
Displacement | tons | 3501.0 | 0.02 |
Freeboard | m | 16.0 | 0.29 |
Center height of floatation | m | 35.0 | 0.63 |
Center height of gravity | m | 28.5 | 0.51 |
Mooring system | |||
Chain mass (in air) | kg/m | 348.5 | 0.112 |
Chain diameter | mm | 132.0 | 2.370 |
The length of chain #1 and #3 | m | 365.0 | 6.540 |
The length of chain #2 | m | 355.0 | 6.360 |
Feeding system | |||
Total mass | tons or g | 100 tons | 561 g |
Initial height from the water surface | m | 1.0 | 0.02 |
Second height from the water surface | m | 6.0 | 0.10 |
Third height from the water surface | m | 12.0 | 0.20 |
No. | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 |
---|---|---|---|---|---|---|---|---|---|---|---|---|
Wave period (s) | 0.7 | 0.8 | 0.9 | 1.0 | 1.2 | 1.6 | 2.0 | 2.4 | 2.8 | 3.2 | 3.6 | 4.0 |
Wave height (cm) | 4.8 | 4.1 | 5.0 | 4.4 | 4.9 | 5.3 | 4.4 | 3.3 | 2.4 | 1.9 | 1.1 | 2.4 |
The Height of the Feeding System [m] | The Height of the Gravity Center [m] |
---|---|
none | 0.511 |
1 | 0.534 |
6 | 0.537 |
12 | 0.540 |
Feeding System Weight [tons] | Feeding System Weight of Model [kg] | The Height of the Gravity Center [m] | Metacentric Height (GM) [m] |
---|---|---|---|
none | none | 0.511 | 0.119 |
100 | 0.57 | 0.534 | 0.094 |
200 | 1.14 | 0.562 | 0.068 |
300 | 1.71 | 0.590 | 0.041 |
400 | 2.29 | 0.618 | 0.012 |
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Li, Q.; Bai, S.; Dong, S.; Zhou, J.; Kitazawa, D. Experimental and Numerical Investigation on the Motion Responses of a Spar-Type Floating Structure with Aquaculture Feeding Systems. J. Mar. Sci. Eng. 2024, 12, 1329. https://doi.org/10.3390/jmse12081329
Li Q, Bai S, Dong S, Zhou J, Kitazawa D. Experimental and Numerical Investigation on the Motion Responses of a Spar-Type Floating Structure with Aquaculture Feeding Systems. Journal of Marine Science and Engineering. 2024; 12(8):1329. https://doi.org/10.3390/jmse12081329
Chicago/Turabian StyleLi, Qiao, Shenyi Bai, Shuchuang Dong, Jinxin Zhou, and Daisuke Kitazawa. 2024. "Experimental and Numerical Investigation on the Motion Responses of a Spar-Type Floating Structure with Aquaculture Feeding Systems" Journal of Marine Science and Engineering 12, no. 8: 1329. https://doi.org/10.3390/jmse12081329