- Access by Xinjiang University
Analysis of dynamic stall development on a cross-flow turbine blade
Phys. Rev. Fluids 8, 074702 – Published 10 July, 2023
DOI: https://doi.org/10.1103/PhysRevFluids.8.074702
Abstract
This research computationally investigates the complex dynamic stall phenomena of a cross-flow turbine blade utilizing modal analysis to identify pertinent events within the cycle. The blade rotation perpendicular to the freestream generates a curved relative flow, a nonsinusoidal variation of relative flow speed and angle of attack, and the necessity of traveling through its own wake. These complexities have challenged traditional predictors of dynamic stall such as pitch rate, pitching moment, or relative angle of attack. To investigate these phenomena, aerodynamic loads and flow fields on the blade from large-eddy simulations are examined across two tip speed ratios. Proper orthogonal decomposition of the velocity fields is employed to analyze the spatiotemporal evolution of the dominant flow features. The modes' time development coefficients reveal a stronger representation of the flow at the higher rotation rate, capturing the trend of relative flow velocity magnitude and lift generation on the blade, along with critical events such as vortex formation and detachment. Additionally, mean power generation is enhanced by 40% by applying a nonconstant rotation rate (intracycle control or angular velocity control). The flow fields, supported by corresponding changes in the modal analysis, demonstrate that a delayed stall behavior is responsible for the additional power extraction. Finally, flow curvature, history effects, and induced flow are identified as significant factors that modify the dynamic stall onset and resulting force and moment curves as compared to nonrotating pitching or plunging foils.
Physics Subject Headings (PhySH)
Article Text
References (35)
- A. Snortland, B. Polagye, and O. Williams, Influence of near-blade hydrodynamics on cross-flow turbine performance, in 13th European Wave and Tidal Energy Conference (EWTEC, Napoli, Italy, 2019), pp. 1–9.
- M. Dave and J. A. Franck, Comparison of RANS and LES for a cross-flow turbine in confined and unconfined flow, J. Renew. Sust. Energy 13, 064503 (2021).
- H. C. Tsai and T. Colonius, Coriolis effect on dynamic stall in a vertical axis wind turbine, AIAA J. 54, 216 (2016).
- L. W. Carr, Progress in analysis and prediction of dynamic stall, J. Aircraft 25, 6 (1988).
- W. Sheng, R. A. D. Galbraith, and F. N. Coton, A new stall-onset criterion for low speed dynamic-stall, J. Sol. Energy Eng. 128, 461 (2006).
- K. Mulleners and M. Raffel, The onset of dynamic stall revisited, Exp. Fluids 52, 779 (2012).
- D. G. Coleman, F. O. Thomas, S. Gordeyev, and T. C. Corke, Parametric modal decomposition of dynamic stall, AIAA J. 57, 176 (2019).
- M. Ramasamy, A. Sanayei, J. S. Wilson, P. B. Martin, T. Harms, P. Nikoueeyan, and J. Naughton, Reducing uncertainty in dynamic stall measurements through data-driven clustering of cycle-to-cycle variations, J. Am. Helicopter Soc. 66, 1 (2021).
- F. O. Carta, A comparison of the pitching and plunging response of an oscillating airfoil, Report No. NASA CR-3172, National Aeronautics and Space Administration, 1979.
- J. G. Wong, A. Mohebbian, J. Kriegseis, and D. E. Rival, Rapid flow separation for transient inflow conditions versus accelerating bodies: An investigation into their equivalency, J. Fluids Struct. 40, 257 (2013).
- D. Kim, B. Strom, S. Mandre, and K. Breuer, Energy harvesting performance and flow structure of an oscillating hydrofoil with finite span, J. Fluids Struct. 70, 314 (2017).
- J. A. Franck and K. S. Breuer, Unsteady high-lift mechanisms from heaving flat plate simulations, Int. J. Heat Fluid Flow 67, 230 (2017).
- B. L. R. Ribeiro, S. L. Frank, and J. A. Franck, Vortex dynamics and reynolds number effects of an oscillating hydrofoil in energy harvesting mode, J. Fluids Struct. 94, 102888 (2020).
- M. Dave, A. Spaulding, and J. A. Franck, Variable thrust and high efficiency propulsion with oscillating foils at high reynolds numbers, Ocean Eng. 214, 107833 (2020).
- R. Dunne and B. J. McKeon, Dynamic stall on a pitching and surging airfoil, Exp. Fluids 56, 157 (2015).
- K. Gharali and D. A. Johnson, Dynamic stall simulation of a pitching airfoil under unsteady freestream velocity, J. Fluids Struct. 42, 228 (2013).
- N. Fujisawa and S. Shibuya, Observations of dynamic stall on turbine blades, J. Wind Eng. Ind. Aerodyn. 89, 201 (2001).
- C. S. Ferreira, G. van Kuik, G. van Bussel, and F. Scarano, Visualization by piv of dynamic stall on a vertical axis wind turbine, Exp. Fluids 46, 97 (2009).
- P. G. Migliore, W. P. Wolfe, and J. B. Fanucci, Flow curvature effects on darrieus turbine blade aerodynamics, J. Energy 4, 49 (1980).
- A. Bianchini, E. A. Carnevale, and L. Ferrari, A model to account for the virtual camber effect in the performance prediction of an H-Darrieus VAWT using the momentum models, Wind Eng. 35, 465 (2011).
- F. Balduzzi, A. Bianchini, R. Maleci, G. Ferrara, and L. Ferrari, Blade design criteria to compensate the flow curvature effects in H-Darrieus wind turbines, J. Turbomach. 137, 011006 (2014).
- J. M. Rainbird, A. Bianchini, F. Balduzzi, J. Peiró, J. M. R. Graham, G. Ferrara, and L. Ferrari, On the influence of virtual camber effect on airfoil polars for use in simulations of darrieus wind turbines, Energy Convers. Manage. 106, 373 (2015).
- A. Bianchini, F. Balduzzi, G. Ferrara, and L. Ferrari, Virtual incidence effect on rotating airfoils in darrieus wind turbines, Energy Convers. Manage. 111, 329 (2016).
- S. V. D. Horst, J. V. D. Wiel, C. S. Ferreira, and N. R. García, Flow curvature effects for VAWT: A review of virtual airfoil transformations and implementation in XFOIL, in Proceedings of the 34th Wind Energy Symposium, AIAA 2016-734 (AIAA, San Diego, California, 2016).
- S. Mariappan, A. D. Gardner, K. Richter, and M. Raffel, Analysis of dynamic stall using dynamic mode decomposition technique, AIAA J. 52, 2427 (2014).
- A. T. Mohan, D. V. Gaitonde, and M. R. Visbal, Model reduction and analysis of deep dynamic stall on a plunging airfoil, Comput. Fluids 129, 1 (2016).
- J. Seidel, S. Siegel, K. Cohen, and T. McLaughlin, POD based separation control on the NACA 0015 airfoil, in 43rd AIAA Aerospace Sciences Meeting and Exhibit, AIAA 2005-297 (Reno, Nevada, 2005).
- A. T. Mohan and D. V. Gaitonde, Analysis of airfoil stall control using dynamic mode decomposition, J. Aircraft 54, 1508 (2017).
- K. Taira, M. S. Hemati, S. L. Brunton, Y. Sun, K. Duraisamy, S. Bagheri, S. T. Dawson, and C. A. Yeh, Modal analysis of fluid flows: Applications and outlook, AIAA J. 58, 998 (2020).
- B. Strom, B. Polagye, and S. L. Brunton, Near-wake dynamics of a vertical-axis turbine, J. Fluid Mech. 935, A6 (2022).
- I. Scherl, Optimization, modeling, and control of cross-flow turbine arrays, University of Washington, Ph.D. Dissertation, 2022.
- S. L. Fouest, D. Fernex, and K. Mulleners, Time scales of dynamic stall development on a vertical-axis wind turbine blade, Flow 3, E11 (2022).
- B. Strom, S. L. Brunton, and B. Polagye, Intracycle angular velocity control of cross-flow turbines, Nat. Energy 2, 17103 (2017).
- L. Sirovich, Turbulence and the dynamics of coherent structures Part I: coherent structures, Q. Appl. Math. 45, 561 (1987).
- M. Dave, B. Strom, A. Snortland, O. Williams, B. Polagye, and J. A. Franck, Simulations of intracycle angular velocity control for a crossflow turbine, AIAA J. 59, 812 (2021).