The Drag of an Elliptical Airfoil at a Reynolds Number of 1000
DOI:
https://doi.org/10.37934/cfdl.14.5.1623Keywords:
Elliptical airfoil, bumblebee kinematics, counter-rotating vorticesAbstract
There have been many studies on the mechanisms of unsteady aerodynamics, such as leading-edge vortex (LEV) formation, wing-wake interaction, and spanwise flow. Spanwise flow can only be observed on three-dimensional wing models; however other phenomena such as LEV and wing-wake interaction can be captured using two-dimensional airfoil models. This study focuses on two-dimensional elliptical airfoil because this profile can generate counter-rotating vortices used by insects to generate aerodynamic forces. This research aims to analyze the drag production of two-dimensional elliptical airfoils flapping with bumblebee-inspired kinematics in asymmetrical normal-hovering mode at a typical Reynolds number range of . It is found that drag is generated during the downstroke while thrust during the upstroke. It is also found that the creation and shedding of counter-rotating vortices are closely related to the generation of thrust. The results also indicate that asymmetrical strokes can be used in normal hovering to minimize drag or produce thrust.
References
Miao, J-M., and M-H. Ho. "Effect of flexure on aerodynamic propulsive efficiency of flapping flexible airfoil." Journal of Fluids and Structures 22, no. 3 (2006): 401-419. https://doi.org/10.1016/j.jfluidstructs.2005.11.004
Ashraf, M. A., J. Young, and J. C. S. Lai. "Reynolds number, thickness and camber effects on flapping airfoil propulsion." Journal of Fluids and structures 27, no. 2 (2011): 145-160. https://doi.org/10.1016/j.jfluidstructs.2010.11.010
Xinyu, L. A. N. G., S. O. N. G. Bifeng, Y. A. N. G. Wenqing, and S. O. N. G. Wenping. "Aerodynamic performance of owl-like airfoil undergoing bio-inspired flapping kinematics." Chinese Journal of Aeronautics 34, no. 5 (2021): 239-252. https://doi.org/10.1016/j.cja.2020.10.017
Bao, Han, Wenqing Yang, Dongfu Ma, Wenping Song, and Bifeng Song. "Numerical simulation of flapping airfoil with alula." International Journal of Micro Air Vehicles 12 (2020): 1756829320977989. https://doi.org/10.1177/1756829320977989
Dickinson, Michael H., and Karl G. Götz. "The wake dynamics and flight forces of the fruit fly Drosophila melanogaster." The Journal of experimental biology 199, no. 9 (1996): 2085-2104. https://doi.org/10.1038/35089071
Birch, James M., and Michael H. Dickinson. "The influence of wing–wake interactions on the production of aerodynamic forces in flapping flight." Journal of experimental biology 206, no. 13 (2003): 2257-2272. https://doi.org/10.1242/jeb.00381
Yusoff, Hamid, Koay Mei Hyie, Halim Ghaffar, Aliff Farhan Mohd Yamin, Muhammad Ridzwan Ramli, Wan Mazlina Wan Mohamed, and Siti Nur Amalina Mohd Halidi. "The Evolution of Induced Drag of Multi-Winglets for Aerodynamic Performance of NACA23015." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 93, no. 2 (2022): 100-110. https://doi.org/10.37934/arfmts.93.2.100110
Yusoff, Hamid, Aliff Farhan Mohd Yamin, Siti Nur Amalina Mohd Halidi, Nor Suhada Abdullah, Halim Ghafar, Shafiq Suhaimi, Koay Mei Hyie, and Wan Mazlina Wan Mohamed. "The Optimisation of Aerodynamic Performance Enhancement of a Flapping Wing using Response Surface Methodology." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 91, no. 1 (2022): 69-82. https://doi.org/10.37934/arfmts.91.1.6982
Truong, Tri Quang, Vu Hoang Phan, Hoon Cheol Park, and Jin Hwan Ko. "Effect of wing twisting on aerodynamic performance of flapping wing system." AIAA journal 51, no. 7 (2013): 1612-1620. https://doi.org/10.2514/1.J051831
Eldredge, Jeff D., and Anya R. Jones. "Leading-edge vortices: mechanics and modeling." Annual Review of Fluid Mechanics 51 (2019): 75-104. https://doi.org/10.1146/annurev-fluid-010518-040334
Dickinson, Michael H., Fritz-Olaf Lehmann, and Sanjay P. Sane. "Wing rotation and the aerodynamic basis of insect flight." Science 284, no. 5422 (1999): 1954-1960. https://doi.org/10.1126/science.284.5422.1954
Byrne, David N., Stephen L. Buchmann, and Hayward G. Spangler. "Relationship between wing loading, wingbeat frequency and body mass in homopterous insects." Journal of Experimental Biology 135, no. 1 (1988): 9-23. https://doi.org/10.1242/jeb.135.1.9
Bomphrey, Richard James, Graham K. Taylor, and Adrian LR Thomas. "Smoke visualization of free-flying bumblebees indicates independent leading-edge vortices on each wing pair." In Animal Locomotion, pp. 249-259. Springer, Berlin, Heidelberg, 2010. https://doi.org/10.1007/978-3-642-11633-9_20
Tobing, S., J. Young, and J. C. S. Lai. "Effects of wing flexibility on bumblebee propulsion." Journal of Fluids and Structures 68 (2017): 141-157. https://doi.org/10.1016/j.jfluidstructs.2016.10.005
Heathcote, Sam, and Ismet Gursul. "Flexible flapping airfoil propulsion at low Reynolds numbers." AIAA journal 45, no. 5 (2007): 1066-1079. https://doi.org/10.2514/6.2005-1405
Yang, Tao, Mingjun Wei, and Hong Zhao. "Numerical study of flexible flapping wing propulsion." AIAA journal 48, no. 12 (2010): 2909-2915. https://doi.org/10.2514/1.J050492
Trizila, Pat, Chang-Kwon Kang, Hikaru Aono, Wei Shyy, and Miguel Visbal. "Low-Reynolds-number aerodynamics of a flapping rigid flat plate." AIAA journal 49, no. 4 (2011): 806-823. https://doi.org/10.2514/1.J050827
Wang, Z. Jane. "Two dimensional mechanism for insect hovering." Physical review letters 85, no. 10 (2000): 2216. https://doi.org/10.1103/PhysRevLett.85.2216
Poelma, C., W. B. Dickson, and M. H. Dickinson. "Time-resolved reconstruction of the full velocity field around a dynamically-scaled flapping wing." Experiments in Fluids 41, no. 2 (2006): 213-225. https://doi.org/10.1007/s00348-006-0172-3
Sun, Wei, Zhenghong Gao, Yiming Du, and Fang Xu. "Mechanism of unconventional aerodynamic characteristics of an elliptic airfoil." Chinese Journal of Aeronautics 28, no. 3 (2015): 687-694. https://doi.org/10.1016/j.cja.2015.03.009
Wang, Z. Jane. "The role of drag in insect hovering." Journal of Experimental Biology 207, no. 23 (2004): 4147-4155. https://doi.org/10.1242/jeb.01239
Tobing, S. "Lift generation of an elliptical airfoil at a reynolds number of 1000." International Journal of Automotive and Mechanical Engineering 16, no. 2 (2019): 6738-6752. https://doi.org/10.15282/ijame.16.2.2019.20.0507
Dudley, R., and C. P. Ellington. "Mechanics of forward flight in bumblebees: I. Kinematics and morphology." Journal of Experimental Biology 148, no. 1 (1990): 19-52. https://doi.org/10.1242/jeb.148.1.19
Engels, T., D. Kolomenskiy, Kai Schneider, F-O. Lehmann, and J. Sesterhenn. "Bumblebee flight in heavy turbulence." Physical review letters 116, no. 2 (2016): 028103. https://doi.org/10.1103/PhysRevLett.116.028103
