Numerical Investigation of Lucid Spherical Cross-Axis Flow Turbine with Asymmetric Airfoil Sections and the Effect of Different Parameters of Blades on Its Performance

Document Type : Regular Article


Ferdowsi University of Mashhad, Department of Mechanical Engineering, Mashhad, Iran



The numerical investigation has been performed on the cross-axis-flow lucid spherical turbine. This type of cross-axis flow turbine generates moments through the forces acting on its blade cross-sections. To evaluate its power and performance, a three-dimensional simulation procedure was performed. The experimental results of Bachant and Wosnik have been used to verify the numerical predictions. The spherical lucid model turbine which they examined had 4 blades with NACA 0020 section and 16cm chord length. Drag and power coefficients were used to compare the data for the water inlet velocity 1m/s and different non-dimensional tip-speed-ratio (inlet velocity / linear rotating velocity of the blade). This paper has selected two airfoil sections, NACA 2412 and NACA 64(3)418, to design the turbine blades. The influence of four effective blade parameters, inclusive of profile section type, chord length, number of blades, and blade twist angles, on turbine performance over a wide range of tip speed ratios, is investigated. It can deduce that the power coefficient has increased up to 22% for NACA 2412 compared to the experimental test. Also, the three-bladed turbine possesses the best results among all models. For this model, the power coefficient increased by 12% and 71% for NACA 2412 and NACA 64(3)418 sections, respectively. The twist of the blades increases the power coefficient by 19% and 31% for NACA 2412 and NACA 64(3)418 sections inside the channel respectively. Increasing the blade chord length causes to increase in power coefficient of up to 12% for NACA 2412 section compared to the experimental test.


Main Subjects

Alaimo, A., Esposito, A., Messineo, A., Orlando, C., & Tumino, D. J. E. (2015). 3D CFD analysis of a vertical axis wind turbine. Energies, 8(4), 3013-3033.
Antheaume, S., Maître, T., & Achard, J. L. J. R. E. (2008). Hydraulic Darrieus turbines efficiency for free fluid flow conditions versus power farms conditions. Renewable Energy, 33(10), 2186-2198.
Bachant, P., & Wosnik, M. J. R. E. (2015). Performance measurements of cylindrical-and spherical-helical cross-flow marine hydrokinetic turbines, with estimates of exergy efficiency. Renewable Energy, 74, 318-325.
Balduzzi, F., Zini, M., Molina, A. C., Bartoli, G., De Troyer, T., Runacres, M. C., Bianchini, A. (2020). Understanding the aerodynamic behavior and energy conversion capability of small darrieus vertical axis wind turbines in turbulent flows. Energies, 13(11), 2936.
Carlton, J. (2018). Marine propellers and propulsion. Butterworth-Heinemann.
Castelli, M. R., Dal Monte, A., Quaresimin, M., & Benini, E. J. R. E. (2013). Numerical evaluation of aerodynamic and inertial contributions to Darrieus wind turbine blade deformation. Renewable Energy, 51, 101-112.
Dashti Mahmoud-Abadi, B., Zareei, H., Pasandidehfard, M. J. J. O. S., & Mechanics, F. (2022). Numerical simulation of Lucid spherical turbine and investigation the effect of different parameters of blades on its performance. Journal of Solid and Fluid Mechanics, 12(1), 115-131.
El Chazly, N. J. R. E. (1993). Static and dynamic analysis of wind turbine blades using the finite element method. Renewable Energy, 3(6-7), 705-724.
Furukawa, A., Takamatsu, Y., Okuma, K., & Takenouchi, K. J. (1992). Optimum design of the Darrieus-type cross flow water turbine for low head water power. Renewable Energy, Technology and the Environment 2824-2828.
Ghiasi, P., Najafi, G., Ghobadian, B., Jafari, A., & Mazlan, M. J. S. (2022). Analytical study of the impact of solidity, chord length, number of blades, aspect ratio and airfoil type on h-rotor darrieus wind turbine performance at low reynolds number. Sustainability, 14(5), 2623.
Gorle, J., Chatellier, L., Pons, F., & Ba, M. (2015). Critical Analysis of the Effectiveness of Blade Pitching for Vertical Axis Water Turbine. Paper presented at the 11th European Wave and Tidal Energy Conference Series (EWTEC).
Hellsten, A., Laine, S., Hellsten, A., & Laine, S. (1997). Extension of the k-omega-SST turbulence model for flows over rough surfaces. Paper presented at the 22nd atmospheric flight mechanics conference.
Hohman, T., Martinelli, L., Smits, A. J. J. O. W. E., & Aerodynamics, I. (2018). The effects of inflow conditions on vertical axis wind turbine wake structure and performance. Journal of Wind Engineering and Industrial Aerodynamics, 183, 1-18.
Hwang, I. S., Lee, Y. H., & Kim, S. J. J. A. E. (2009). Optimization of cycloidal water turbine and the performance improvement by individual blade control. Applied Energy, 86(9), 1532-1540.
Li, Q., Cai, C., Maeda, T., Kamada, Y., Shimizu, K., Dong, Y., Xu, J. (2021). Visualization of aerodynamic forces and flow field on a straight-bladed vertical axis wind turbine by wind tunnel experiments and panel method. Energy, 225, 120274.
Manwell, J. F., McGowan, J. G., & Rogers, A. L. (2010). Wind energy explained: theory, design and application. John Wiley & Sons.
Moghimi, M., & Motawej, H. J. J. O. A. F. M. (2020). Comparison Aerodynamic Performance and Power Fluctuation Between Darrieus Straight-Bladed and Gorlov Vertical Axis Wind Turbines. Journal of Applied Fluid Mechanics, 13(5), 1623-1633.
Paillard, B., Hauville, F., & Astolfi, J. A. J. R. E. (2013). Simulating variable pitch crossflow water turbines: A coupled unsteady ONERA-EDLIN model and streamtube model. Renewable Energy, 52, 209-217.
Shimokawa, K., Furukawa, A., Okuma, K., Matsushita, D., & Watanabe, S. J. R. E. (2012). Experimental study on simplification of Darrieus-type hydro turbine with inlet nozzle for extra-low head hydropower utilization. Renewable Energy, 41, 376-382.
Tunio, I. A., Shah, M. A., Hussain, T., Harijan, K., Mirjat, N. H., & Memon, A. H. J. R. E. (2020). Investigation of duct augmented system effect on the overall performance of straight blade Darrieus hydrokinetic turbine. Renewable Energy, 153, 143-154.
Yang, W., Hou, Y., Jia, H., Liu, B., & Xiao, R. J. E. (2019). Lift-type and drag-type hydro turbine with vertical axis for power generation from water pipelines. Energy, 188, 116070.