Abstract
Above all vertical axis wind turbines, for their lower cost and independent on wind direction, Savonius rotor takes the advantage to be more suitable for some implementation. Thus, many investigations have been carried out to improve its efficiency. This study emphasizes on the effect of the overlap distance and the blade shape on a helical Savonius wind turbine performance. Assessment methods based on the flow field characterizations, the variation of torque and power coefficient are performed. Thus, transient simulations using the SST k–ω turbulence model are carried out. The numerical model is validated using wind tunnel tests. Results indicate that the non-overlapped helical Savonius rotor highlights higher maximum power coefficient of 0.124 at a tip speed ratio of 0.73 over rotors with overlap distance of 10 mm, 15 mm and 20 mm, respectively. In addition, the delta-bladed rotor improves the performance of the helical Savonius rotor by 14.51%. With the novel blade shape, the maximum power coefficient reaches a value of 0.142 at a tip speed ratio of 0.78. The obtained results present an interesting data that could provide the aerodynamic characteristics of the airflow for the designers and engineers to enhance the efficiency of the helical Savonius turbine.
Similar content being viewed by others
Abbreviations
- A :
-
Projected area (m2)
- A r :
-
Aspect ratio, dimensionless
- C Ts :
-
Static torque coefficient, dimensionless
- C p :
-
Power coefficient, dimensionless
- C T :
-
Torque coefficient, dimensionless
- C p max :
-
Maximum power coefficient, dimensionless
- C T max :
-
Maximum torque coefficient, dimensionless
- C pr :
-
Pressure coefficient, dimensionless
- D :
-
Rotor diameter (m)
- D e :
-
End plate diameter (m)
- d :
-
Blade chord length (m)
- e :
-
Overlap distance (m)
- F i :
-
External applied forces (N)
- G k :
-
Production term of turbulence (kg m−1 s−3)
- H :
-
Rotor height (m)
- k :
-
Turbulent kinetic energy (m2 s−2)
- O r :
-
Overlap ratio, dimensionless
- p :
-
Pressure (Pa)
- P :
-
Blade shape common portion (m)
- P f :
-
Static pressure on blades surface (Pa)
- P r :
-
Mechanical power (W)
- P ref :
-
Reference pressure (Pa)
- P w :
-
Wind power (W)
- R :
-
Rotor radius (m)
- Re:
-
Reynolds number, dimensionless
- s :
-
Rotor shaft diameter (m)
- t :
-
Time (s)
- T d :
-
Dynamic torque (N m)
- T s :
-
Static torque (N m)
- u i :
-
The velocity component defined in xi = (x, y, z) coordinate direction
- u t :
-
The friction velocity (m s−1)
- \( u_{i}^{'} \) :
-
Fluctuating velocity components (m s−1)
- \( \overline{{u^{'}_{i} u^{'}_{j} }} \) :
-
Reynolds stress tensor components (m2 s−2)
- U ∞ :
-
Wind velocity (m s−1)
- V :
-
Velocity of the flow around the rotor (m s−1)
- x :
-
Cartesian coordinate (m)
- t :
-
Cartesian coordinate (m)
- y :
-
Cartesian coordinate (m)
- y n :
-
Distance of the first node from wall (m)
- y + :
-
Non-dimensional parameter
- z :
-
Cartesian coordinate (m)
- β * :
-
Constant of k–ω turbulent model
- β 2 :
-
Constant of k–ω turbulent model
- \( \sigma_{k} \) :
-
Constant of k–ω turbulent model
- \( \sigma_{{_{\omega ,1} }} \) :
-
Constant of k–ω turbulent model
- \( \sigma_{{_{\omega ,2} }} \) :
-
Constant of k–ω turbulent model
- \( \theta \) :
-
Rotor angular position (rad)
- μ :
-
Dynamic viscosity (Pa s)
- μ t :
-
Turbulent viscosity (Pa s)
- ρ :
-
Air density (kg m−3)
- Ω:
-
Rotating speed (rad s−1)
- λ :
-
Tip sped ratio, dimensionless
- ψ :
-
Twist angle (°)
- \( \delta_{ij} \) :
-
Chronecker indices
- γ 2 :
-
Constant of k–ω turbulent model
- Δt :
-
Time step (s)
References
Kumar, R.; Raahemifar, K.; Fung, A.S.: A critical review of vertical axis wind turbines for urban applications. Renew. Sustain. Energy Rev. 89, 281–291 (2018)
Ferrari, G.; Federici, D.; Schito, P.; Inzoli, F.; Mereu, R.: CFD study of Savonius wind turbine: 3D model validation and parametric analysis. Renew. Energy 105, 722–734 (2017)
Kamoji, M.A.; Kedare, S.B.; Prabhu, S.V.: Experimental investigations on single stage modified Savonius rotor. Appl. Energy 86, 1064–1073 (2009)
Bhayo, B.A.; Al-Kayiem, H.H.: Experimental characterization and comparison of performance parameters of S-rotors for standalone wind power system. Energy 138, 752–763 (2017)
Jeon, K.S.; Jeong, J.I.; Pan, J.K.; Ryu, K.W.: Effects of the end plates with various shapes and sizes on helical Savonius wind turbines. Renew. Energy 79, 167–176 (2015)
Mahmoud, N.H.; El-Haroun, A.A.; Wahba, E.; Nasef, M.H.: An experimental study on improvement of Savonius rotor performance. Alex. Eng. J. 51, 19–25 (2012)
Saha, U.K.; Thotla, S.; Maity, D.: Optimum design configuration of Savonius rotor through wind tunnel experiments. Wind Eng. Ind. Aerodyn. 96, 1359–1375 (2008)
Emmanuel, B.; Jun, W.: Numerical study of a six-bladed Savonius wind turbine. J. Sol. Eng. 133, 1–5 (2011)
Akwa, J.V.; Vielmo, H.A.; Petry, A.P.: A review on the performance of Savonius wind turbines. Renew. Sustain. Energy Rev. 16, 3054–3064 (2012)
Zhao, Z.; Zheng, Y.; Xu, X.; Liu, W.; Hu, G.: Research on the improvement of the performance of Savonius rotor based on numerical study. In: The Proceedings of International Conference on Sustainable Power Generation and Supply (SUPERGEN) 2009, pp. 1–6
Akwa, J.V.; Júnior, G.A.; Petry, A.P.: Discussion on the verification of the overlap ratio influence on performance coefficients of a Savonius wind rotor using computational fluid dynamics. Renewable Energy 38, 141–149 (2012)
Roy, S.; Saha, U.K.: Computational study to assess the influence of overlap ratio on static torque characteristics of a vertical axis wind turbine. Procedia Eng. 51, 694–702 (2013)
Hassanzadeh, R.; Mohammad Nejad, M.: Effects of inward and outward overlap ratios on the two-blade Savonius type of vertical axis wind turbine performance. Int. J. Green Energy 16, 1485–1496 (2019)
Chen, J.; Chen, L.; Nie, L.; Xu, H.; Mo, Y.; Wang, C.: Experimental study of two-stage Savonius rotors with different gap ratios and phase shift angles. J. Renew. Sustain. Energy 8, 063302 (2016)
Chen, J.; Jan, K.; Zhang, L.; Lu, L.; Yang, H.: Influence of phase-shift and overlap ratio on Savonius wind turbine’s performance. J. Sol. Energy Eng. 134, 011016 (2012)
Alom, N.; Saha, U.K.: Influence of blade profiles on Savonius rotor performance: numerical simulation and experimental validation. Energy Convers. Manag. 186, 267–277 (2019)
Hassan Saeed, H.A.; Nagib Elmekawy, A.M.; Kassab, S.Z.: Numerical study of improving Savonius turbine power coefficient by various blade shapes. Alex. Eng. J. 58, 429–441 (2019)
Roy, S.; Saha, U.K.: Wind tunnel experiments of a newly developed two-bladed Savonius-style wind turbine. Appl. Energy 137, 117–125 (2015)
Mao, Z.; Tian, W.: Effect of the blade arc angle on the performance of a Savonius wind turbine. Adv. Mech. Eng. 7, 1–10 (2015)
Gad, H.E.; Abd El-Hamid, A.A.; El-Askary, W.A.; Nasef, M.H.A.: New design of Savonius wind turbine: numerical study. CFD Lett. 6(4), 144–158 (2014)
Tian, W.; Mao, Z.; Zhang, B.; Li, Y.: Shape optimization of a Savonius wind rotor with different convex and concave sides. Energy 117, 287–299 (2018)
Kamoji, M.A.; Kedare, S.B.; Prabhu, S.V.: Performance tests on helical savonius rotor. Renew. Energy 34, 521–529 (2009)
Saha, U.K.; Rajkumar, M.J.: On the performance analysis of Savonius rotor with twisted blades. Renew. Energy 31, 1776–1788 (2006)
Lee, J.H.; Lee, Y.T.; Lim, H.C.: Effect of twist angle on the performance of Savonius wind turbine. Renew. Energy 89, 231–244 (2016)
Driss, Z.: Wind Tunnels: Uses and Developments, Mechanical Engineering Theory and Applications. Nova Science Publishers, New York (2019). ISBN 978-1-53615-898-4
Coughtrie, A.R.; Borman, D.J.; Sleigh, P.A.: Effects of turbulence modelling on prediction of flow characteristics in a bench-scale anaerobic gas-lift digester. Bioresour. Technol. 138, 297–306 (2013)
Driss, Z.; Mlayeh, O.; Driss, S.: Study of the bucket design effect on the turbulent flow around unconventional Savonius wind rotors. Energy 89, 708–729 (2015)
Driss, Z.; Mlayeh, O.; Driss, D.; Maaloul, M.; Abid, M.S.: Numerical simulation and experimental validation of the turbulent flow around a small incurved Savonius wind rotor. Energy 74, 506–517 (2014)
Levitas, V.I.; Roy, A.M.; Preston, D.L.: Multiple twinning and variant-variant transformations in martensite: phase-field approach. Phys. Rev. B 88, 054113 (2013)
Levitas, V.I.; Roy, A.M.: Multiphase phase field theory for temperature- and stress-induced phase transformations. Phys. Rev. B 91, 174109 (2015)
Jaohindy, P.; McTavish, S.; Garde, F.; Bastide, A.: An analysis of the transient forces acting on Savonius rotors with different aspect ratios. Renew. Energy 55, 286–295 (2013)
Sharma, S.; Sharma, R.K.: Performance improvement of Savonius rotor using multiple quarter blades—a CFD investigation. Energy Convers. Manag. 127, 43–54 (2016)
Roy, S.; Ducoin, A.: Unsteady analysis on the instantaneous forces and moment arms acting on a novel Savonius-style wind turbine. Energy Convers. Manag. 121, 281–296 (2016)
Nasef, M.H.; El-Askary, W.A.; AbdEL-Hamid, A.A.; Gad, H.E.: Evaluation of Savonius rotor performance: static and dynamic studies. J. Wind Eng. Ind. Aerodyn. 123, 1–11 (2013)
Mosbahi, M.; Ayadi, A.; Chouaibi, Y.; Driss, Z.; Tucciarellid, T.: Performance study of a Helical Savonius hydrokinetic turbine with a new deflector system design. Energy Convers. Manag. 194, 55–74 (2019)
Mosbahi, M.; Ayadi, A.; Chouaibi, Y.; Driss, Z.; Tucciarellid, T.: Performance improvement of a novel combined water turbine. Energy Convers. Manag. 205, 112473 (2020)
Kumar, A.; Saini, R.P.: Performance analysis of a Savonius hydrokinetic turbine having twisted blades. Renew. Energy 108, 502–522 (2017)
Kumar, A.; Saini, R.P.: Performance analysis of a single stage modified Savonius hydrokinetic turbine having twisted blades. Renew. Energy 113, 461–478 (2017)
Anbarsooz, M.: Aerodynamic performance of helical Savonius wind rotors with 30° and 45° twist angles: experimental and numerical studies. J. Power Energy 230, 1–12 (2016)
Damak, A.; Driss, Z.; Abid, M.S.: Optimization of the helical Savonius rotor through wind tunnel experiments. J. Wind Eng. Ind. Aerodyn. 174, 80–93 (2018)
Acknowledgements
The authors would like to thank the Laboratory of Electro-Mechanic Systems (LASEM) members for the financial assistance.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Lajnef, M., Mosbahi, M., Chouaibi, Y. et al. Performance Improvement in a Helical Savonius Wind Rotor. Arab J Sci Eng 45, 9305–9323 (2020). https://doi.org/10.1007/s13369-020-04770-6
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s13369-020-04770-6