Articles | Volume 4, issue 4
https://doi.org/10.5194/wes-4-653-2019
© Author(s) 2019. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/wes-4-653-2019
© Author(s) 2019. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
Research article
| 
11 Dec 2019
Research article |
| 11 Dec 2019
| 11 Dec 2019
A double-multiple streamtube model for vertical axis wind turbines of arbitrary rotor loading
Anis A. Ayati
Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, NJ 08544, USA
Department of Mathematics, University of Oslo, Oslo, 316, Norway
Konstantinos Steiros
Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, NJ 08544, USA
Mark A. Miller
Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, NJ 08544, USA
Subrahmanyam Duvvuri
Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, NJ 08544, USA
Department of Aerospace Engineering, Indian Institute of Science, Bengaluru, 560012, India
Marcus Hultmark
CORRESPONDING AUTHOR
Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, NJ 08544, USA
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Cited
31 citations as recorded by crossref.
- Aerodynamic modelling of a novel vertical axis wind turbine concept L. Morgan & W. Leithead https://doi.org/10.1088/1742-6596/2257/1/012001
- Recirculation regions in wakes with base bleed K. Steiros et al. https://doi.org/10.1103/PhysRevFluids.6.034608
- Experimental and Dynamic Modeling of a Variable-Pitch VAWT Using a Neural Network and the DMST Model L. Sanchez-Rivera et al. https://doi.org/10.3390/app152010989
- Aerodynamic performance enhancement and computational methods for H-Darrieus vertical axis wind turbines: Review T. Miliket et al. https://doi.org/10.1080/15435075.2021.2005605
- Vortex shedding behind porous flat plates normal to the flow M. Cicolin et al. https://doi.org/10.1017/jfm.2024.300
- Near-wake dynamics of a vertical-axis turbine B. Strom et al. https://doi.org/10.1017/jfm.2021.1123
- Numerical method for steady ideal 2‐D flows of finite vorticity with applications to vertical‐axis wind turbine aerodynamics I. Nikiforov & Z. Rahman https://doi.org/10.1002/we.2740
- Influence of the porosity pattern on the aerodynamics of a square-shaped fly-swatter A. Gayout et al. https://doi.org/10.1063/5.0179009
- Vertical-Axis Wind Turbine Steady and Unsteady Aerodynamics for Curved Deforming Blades K. Moore & B. Ennis https://doi.org/10.2514/1.J060476
- An analytical blockage correction model for high-solidity turbines K. Steiros et al. https://doi.org/10.1017/jfm.2022.735
- Experimental validation of a linear momentum and bluff-body model for high-blockage cross-flow turbine arrays A. Hunt et al. https://doi.org/10.1103/tpzz-df14
- Blade shape optimization of floating offshore vertical axis wind turbines for maximum power coefficient under platform pitch motion J. Jiang et al. https://doi.org/10.1016/j.oceaneng.2026.125634
- Innovative multiobjective optimization of a curved‐blade vertical axis wind turbine modeled by modified double multiple streamtube method S. Sanaye & A. Hosseinkhani https://doi.org/10.1002/ese3.1734
- Investigation of aero-hydro-elastic-mooring behavior of a H-type floating vertical axis wind turbine using coupled CFD-FEM method. Q. Liu et al. https://doi.org/10.1016/j.apenergy.2024.123816
- Experimental study on the development of wake vortices behind screen cylinders C. Sun et al. https://doi.org/10.1063/5.0059089
- Analytical all-induction state model for wind turbine wakes N. Bempedelis & K. Steiros https://doi.org/10.1103/PhysRevFluids.7.034605
- Drag on a hollow sphere can increase with porosity N. Conlin et al. https://doi.org/10.1017/jfm.2025.11080
- Improved wind-power extraction downstream of a 3D hill using a tilted actuator disk K. Steiros et al. https://doi.org/10.1063/5.0280650
- Monumental articulated ancient Greek and Roman columns and temples and earthquakes: archaeological, historical, and engineering approaches S. Stiros https://doi.org/10.1007/s10950-019-09902-6
- Wind tunnel test on the effect of solidity on the wake evolution characteristics of twin counter rotating vertical axis turbines K. Wang et al. https://doi.org/10.1063/5.0041419
- The effect of porosity on the drag of cylinders K. Steiros et al. https://doi.org/10.1017/jfm.2020.606
- Floating Vertical Axis Wind Turbines for offshore applications among potentialities and challenges: A review A. Ghigo et al. https://doi.org/10.1016/j.rser.2024.114302
- CFD and ANN surrogate modelling for fixing angle optimisation of a Darrieus vertical axis wind turbine A. Tamaddon et al. https://doi.org/10.1080/19942060.2026.2654918
- A computational framework for the lifetime prediction of vertical-axis wind turbines: CFD simulations and high-cycle fatigue modeling F. Geng et al. https://doi.org/10.1016/j.ijsolstr.2023.112504
- Flexible blades to improve Darrieus turbine performance and reduce cost B. Kirke & A. Abdolahifar https://doi.org/10.1016/j.esd.2023.01.010
- Three-dimensional flow around and through a porous screen O. Marchand et al. https://doi.org/10.1017/jfm.2024.372
- Time scales of dynamic stall development on a vertical-axis wind turbine blade S. Le Fouest et al. https://doi.org/10.1017/flo.2023.5
- Comparison of dynamic stall on an airfoil undergoing sinusoidal and VAWT-shaped pitch motions C. Brunner et al. https://doi.org/10.1088/1742-6596/2265/3/032006
- GNSS (GPS) Monitoring of Dynamic Deflections of Bridges: Structural Constraints and Metrological Limitations S. Stiros https://doi.org/10.3390/infrastructures6020023
- Wind Turbines for Decarbonization and Energy Transition of Buildings and Urban Areas: A Review K. Ismail et al. https://doi.org/10.21926/aeer.2501013
- Modal frequencies of bridges from GNSS (GPS) monitoring data: Experimental, statistical evidence S. Stiros et al. https://doi.org/10.3233/BRS-210184
31 citations as recorded by crossref.
- Aerodynamic modelling of a novel vertical axis wind turbine concept L. Morgan & W. Leithead https://doi.org/10.1088/1742-6596/2257/1/012001
- Recirculation regions in wakes with base bleed K. Steiros et al. https://doi.org/10.1103/PhysRevFluids.6.034608
- Experimental and Dynamic Modeling of a Variable-Pitch VAWT Using a Neural Network and the DMST Model L. Sanchez-Rivera et al. https://doi.org/10.3390/app152010989
- Aerodynamic performance enhancement and computational methods for H-Darrieus vertical axis wind turbines: Review T. Miliket et al. https://doi.org/10.1080/15435075.2021.2005605
- Vortex shedding behind porous flat plates normal to the flow M. Cicolin et al. https://doi.org/10.1017/jfm.2024.300
- Near-wake dynamics of a vertical-axis turbine B. Strom et al. https://doi.org/10.1017/jfm.2021.1123
- Numerical method for steady ideal 2‐D flows of finite vorticity with applications to vertical‐axis wind turbine aerodynamics I. Nikiforov & Z. Rahman https://doi.org/10.1002/we.2740
- Influence of the porosity pattern on the aerodynamics of a square-shaped fly-swatter A. Gayout et al. https://doi.org/10.1063/5.0179009
- Vertical-Axis Wind Turbine Steady and Unsteady Aerodynamics for Curved Deforming Blades K. Moore & B. Ennis https://doi.org/10.2514/1.J060476
- An analytical blockage correction model for high-solidity turbines K. Steiros et al. https://doi.org/10.1017/jfm.2022.735
- Experimental validation of a linear momentum and bluff-body model for high-blockage cross-flow turbine arrays A. Hunt et al. https://doi.org/10.1103/tpzz-df14
- Blade shape optimization of floating offshore vertical axis wind turbines for maximum power coefficient under platform pitch motion J. Jiang et al. https://doi.org/10.1016/j.oceaneng.2026.125634
- Innovative multiobjective optimization of a curved‐blade vertical axis wind turbine modeled by modified double multiple streamtube method S. Sanaye & A. Hosseinkhani https://doi.org/10.1002/ese3.1734
- Investigation of aero-hydro-elastic-mooring behavior of a H-type floating vertical axis wind turbine using coupled CFD-FEM method. Q. Liu et al. https://doi.org/10.1016/j.apenergy.2024.123816
- Experimental study on the development of wake vortices behind screen cylinders C. Sun et al. https://doi.org/10.1063/5.0059089
- Analytical all-induction state model for wind turbine wakes N. Bempedelis & K. Steiros https://doi.org/10.1103/PhysRevFluids.7.034605
- Drag on a hollow sphere can increase with porosity N. Conlin et al. https://doi.org/10.1017/jfm.2025.11080
- Improved wind-power extraction downstream of a 3D hill using a tilted actuator disk K. Steiros et al. https://doi.org/10.1063/5.0280650
- Monumental articulated ancient Greek and Roman columns and temples and earthquakes: archaeological, historical, and engineering approaches S. Stiros https://doi.org/10.1007/s10950-019-09902-6
- Wind tunnel test on the effect of solidity on the wake evolution characteristics of twin counter rotating vertical axis turbines K. Wang et al. https://doi.org/10.1063/5.0041419
- The effect of porosity on the drag of cylinders K. Steiros et al. https://doi.org/10.1017/jfm.2020.606
- Floating Vertical Axis Wind Turbines for offshore applications among potentialities and challenges: A review A. Ghigo et al. https://doi.org/10.1016/j.rser.2024.114302
- CFD and ANN surrogate modelling for fixing angle optimisation of a Darrieus vertical axis wind turbine A. Tamaddon et al. https://doi.org/10.1080/19942060.2026.2654918
- A computational framework for the lifetime prediction of vertical-axis wind turbines: CFD simulations and high-cycle fatigue modeling F. Geng et al. https://doi.org/10.1016/j.ijsolstr.2023.112504
- Flexible blades to improve Darrieus turbine performance and reduce cost B. Kirke & A. Abdolahifar https://doi.org/10.1016/j.esd.2023.01.010
- Three-dimensional flow around and through a porous screen O. Marchand et al. https://doi.org/10.1017/jfm.2024.372
- Time scales of dynamic stall development on a vertical-axis wind turbine blade S. Le Fouest et al. https://doi.org/10.1017/flo.2023.5
- Comparison of dynamic stall on an airfoil undergoing sinusoidal and VAWT-shaped pitch motions C. Brunner et al. https://doi.org/10.1088/1742-6596/2265/3/032006
- GNSS (GPS) Monitoring of Dynamic Deflections of Bridges: Structural Constraints and Metrological Limitations S. Stiros https://doi.org/10.3390/infrastructures6020023
- Wind Turbines for Decarbonization and Energy Transition of Buildings and Urban Areas: A Review K. Ismail et al. https://doi.org/10.21926/aeer.2501013
- Modal frequencies of bridges from GNSS (GPS) monitoring data: Experimental, statistical evidence S. Stiros et al. https://doi.org/10.3233/BRS-210184
Saved (final revised paper)
Latest update: 09 Jun 2026
Short summary
This work presents an improvement to a popular algorithm used in the prediction of the power of vertical axis wind turbines. While, until now, the algorithm was considered valid only for low rotor speeds and a small number of blades, our improvement makes it valid for any configuration. The predictions of the improved algorithm were found to be of considerable accuracy, when validated with measurements of a small model turbine acquired in a compressed air wind tunnel.
This work presents an improvement to a popular algorithm used in the prediction of the power of...
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