Abstract
In this study, power analysis of a variable-camber hydrofoil was conducted through a comparison with a rigid hydrofoil when used in a flapping hydrofoil turbine (FHT). The responses obtained by a mathematical dynamic model are inputted to calculate the available power, input power, hydrodynamic power, extracted power and system efficiency. This work considers two scenarios with identical counter-loads and with similar amplitudes of the obtained response conditions. In the former scenario, the efficiency of the variable-camber hydrofoil becomes slightly higher than that of the rigid hydrofoil. Meanwhile, in the other scenario, the efficiency of the variable-camber hydrofoil is considerably higher than that of the rigid hydrofoil. This study shows that the variable-camber hydrofoil would be a good scheme for improving the power performance of an FHT despite the slight increase in complexity.
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Abbreviations
- c :
-
Chord length of the hydrofoil, m
- b :
-
Span of the hydrofoil, m
- x p :
-
Pitching axis location from the leading edge, c
- \(\psi\) :
-
Flapping angle, \(^\circ\)
- \(\theta\) :
-
Pitch angle, \(^\circ\)
- L :
-
Flapping arm length, m
- W :
-
Relative flow velocity, m s−1
- \(V_{\infty }\) :
-
Far-field inflow velocity, m s−1
- I :
-
Mass moment of inertia of the hydrofoil, including the flapping arm around the flapping axis, kg m2
- I g :
-
Equivalent mass moment of inertia of the gearbox about the driving gear axis, kg m2
- \(\dot{\psi }\) :
-
Angular speed of the flapping arm, rad s−1
- \(\ddot{\psi }\) :
-
Angular acceleration of the flapping arm, rad s−2
- \(\gamma\) :
-
Deflection angle of the flow, \(^\circ\)
- \(\rho\) :
-
Density of water, kg m−3
- C L :
-
Lift coefficient of the hydrofoil
- C D :
-
Drag coefficient of the hydrofoil
- C M :
-
Moment coefficient of the hydrofoil
- V f :
-
Induced or deflected flow velocity, m s−1
- S :
-
Projected surface area of the hydrofoil m2
- C :
-
Damping coefficient of the transmission system, N m s
- L :
-
Lift force
- D :
-
Drag force
- τ :
-
Holding torque, N m
- T :
-
Period
- M c/4 :
-
Pitching moment at the pitch axis, N m
- Re :
-
Reynolds number
- Mf 1 :
-
Moment at flap pivot 1
- Mf 2 :
-
Moment at flap pivot 2
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Acknowledgements
This work was supported by a grant from the National Research Foundation of Korea (NRF) funded through the Korean government (MSIT) (No. 2020R1A2C1102994). It was also supported by the “Human Resources Program in Energy Technology” of the Korea Institute of Energy Technology Evaluation and Planning (KETEP), granted financial resources from the Ministry of Trade, Industry and Energy (MOTIE) of the Republic of Korea (No. 20184030202200).
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Nguyen Le Dang, H., Jeong, D. & Ko, J.H. Study of the power performance of a variable-camber hydrofoil used in a flapping tidal stream turbine. J Mar Sci Technol 27, 1148–1162 (2022). https://doi.org/10.1007/s00773-022-00894-6
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DOI: https://doi.org/10.1007/s00773-022-00894-6