Biplane and Tail Effects in Flapping Flight
Abstract
A numerical investigation is performed on the interference effects in single or biplane flapping airfoil propulsion in the presence of a stationary downstream tail. At a Reynolds number of 1000, this corresponds to the regime of small micro aerial vehicles. The objective of this study is to provide insight into the complex wing–tail interaction effects occurring in flapping-wing propulsion configurations. The effect of the relative distance between the airfoils, as well as the positioning and incidence angle of the tail, is investigated. Adding a tail behind a single flapping airfoil increases the efficiency and average thrust by up to 10 and 25%, respectively. For the biplane flapping airfoils without tail, overall efficiency and average thrust per airfoil increase up to 17 and 126%, respectively, with respect to the single airfoil due to the formation of a strong momentum jet. The effect of adding a tail behind the biplane flapping airfoils depends on the tail’s orientation and location. Increasing the incidence angle of the tail generates higher lift, although at the expense of decreased efficiency and thrust. Lastly, shifting the vertical position of the tail to have it coincide with the middle heaving position of the leading top airfoil gives the best overall performance.
References
[1] , “Flow Visualization and Force Measurements on a Hovering Flapping-Wing MAV ‘DelFly II’,” 39th AIAA Fluid Dynamics Conference, AIAA Paper 2009-4035, 2009.
[2] , “Titanium-Alloy MEMS Wing Technology for a Micro Aerial Vehicle Application,” Sensors and Actuators A: Physical, Vol. 89, Nos. 1–2, 2001, pp. 95–103. doi:https://doi.org/10.1016/S0924-4247(00)00527-6 SAAPEB 0924-4247
[3] , “Flapping-Wing Aerodynamics: Progress and Challenges,” AIAA Journal, Vol. 46, No. 9, 2008, pp. 2136–2149. doi:https://doi.org/10.2514/1.29263 AIAJAH 0001-1452
[4] , “Recent Progress in Flapping Wing Aerodynamics and Aeroelasticity,” Progress in Aerospace Sciences, Vol. 46, No. 7, 2010, pp. 1–44. doi:https://doi.org/10.1016/j.paerosci.2010.01.001 PAESD6 0376-0421
[5] , “Improving Flight Performance of the Flapping Wing MAV DelFly II,” International Micro Air Vehicle, Braunschweig, Germany, 2010.
[6] , “Design, Aerodynamics, and Vision-Based Control of the DelFly,” International Journal of Micro Air Vehicles, Vol. 1, No. 2, 2009, pp. 71–97.
[7] , “Design and Development Considerations for Biologically Inspired Flapping-Wing Micro Air Vehicles,” Experiments in Fluids, Vol. 46, No. 5, 2009, pp. 799–810. doi:https://doi.org/10.1007/s00348-009-0654-1 EXFLDU 0723-4864
[8] , “Flapping-Wing Technology: The Potential for Air Vehicle Propulsion and Airborne Power Generation,” 26th International Congress of the Aeronautical Sciences, 2008.
[9] , “Thrust Generation Caused By Flapping Airfoils in a Biplane Configuration,” Journal of Aircraft, Vol. 40, No. 3, 2003, pp. 509–515. doi:https://doi.org/10.2514/2.3124 JAIRAM 0021-8669
[10] , “Optimization of Flapping Motion Parameters for Two Airfoils in a Biplane Configuration,” Journal of Aircraft, Vol. 46, No. 2, 2009, pp. 583–592. doi:https://doi.org/10.2514/1.38796 JAIRAM 0021-8669
[11] , “Numerical Analysis on Aerodynamic Force Generation of Biplane Counter-Flapping Flexible Airfoils,” Journal of Aircraft, Vol. 46, No. 5, 2009, pp. 1785–1794. doi:https://doi.org/10.2514/1.43181 JAIRAM 0021-8669
[12] , “Der wellpropeller, ein Neuer Antrieb für Wasser-, Land- und Luftfahrzeuge,” Zeitschrift für Flugwissenschaften und Weltraumforschung, Vol. 12, 1965, pp. 472–479.
[13] , “Unsteady Flow Interactions Between the Wake of an Oscillating Airfoil and a Stationary Trailing Airfoil,” AIAA Applied Aerodynamics Conference, AIAA, Washington, D.C., 1988, pp. 473–482.
[14] , “Aerodynamic Analysis of Flapping Wing Propulsion,” AIAA 31st Aerospace Sciences Meeting and Exhibit, AIAA Paper 1993-0484, 1993.
[15] , “Thrust Generation due to Airfoil Flapping,” AIAA Journal, Vol. 34, No. 2, 1996, pp. 324–331. doi:https://doi.org/10.2514/3.13067 AIAJAH 0001-1452
[16] , “Measurement of Parallel Blade–Vortex Interaction at Low Reynolds Numbers,” Experiments in Fluids, Vol. 49, No. 1, 2010, pp. 89–99. doi:https://doi.org/10.1007/s00348-009-0796-1 EXFLDU 0723-4864
[17] , “Aerodynamic Experiments on DelFly II: Unsteady Lift Enhancement,” International Journal of Micro Air Vehicles, Vol. 1, No. 4, 2009, pp. 255–262.
[18] , “Unsteady Forces and Flows in Low Reynolds Number Hovering Flight: Two-Dimensional Computations vs Robotic Wing Experiments,” Journal of Experimental Biology, Vol. 207, No. 3, 2004, pp. 449–460. doi:https://doi.org/10.1242/jeb.00739 JEBIAM 0022-0949
[19] , “Immersed Boundary Methods,” Annual Review of Fluid Mechanics, Vol. 37, No. 1, 2005, pp. 239–261. doi:https://doi.org/10.1146/annurev.fluid.37.061903.175743 ARVFA3 0066-4189
[20] , “An Embedding Method for Bluff Body Flows: Interactions of Two Side-by-Side Cylinder Wakes,” Theoretical and Computational Fluid Dynamics, Vol. 16, No. 6, 2003, pp. 433–466. doi:https://doi.org/10.1007/s00162-003-0090-4 TCFDEP 0935-4964
[21] , “A Sharp Interface Cartesian Grid Method for Simulating Flows with Complex Moving Boundaries,” Journal of Computational Physics, Vol. 174, No. 1, 2001, pp. 345–380. doi:https://doi.org/10.1006/jcph.2001.6916 JCTPAH 0021-9991
[22] , “Numerical Analysis of the s1020 Airfoils in Tandem Under Different Flapping Configurations,” Acta Mechanica Sinica, Vol. 26, No. 2, Oct. 2009, pp. 191–207. LHHPAE 0459-1879
[23] , “A Second-Order Time-Accurate Finite Volume Method for Unsteady Incompressible Flow on Hybrid Unstructured Grids,” Journal of Computational Physics, Vol. 162, No. 2, 2000, pp. 411–428. doi:https://doi.org/10.1006/jcph.2000.6546 JCTPAH 0021-9991
[24] , “Analysis of Non-Symmetrical Flapping Airfoils,” Acta Mechanica Sinica, Vol. 25, No. 4, 2009, pp. 433–450. doi:https://doi.org/10.1007/s10409-009-0259-1 LHHPAE 0459-1879
[25] , “The Structure of 2-Dimensional Separation,” Journal of Fluid Mechanics, Vol. 220, 1990, pp. 397–411. doi:https://doi.org/10.1017/S0022112090003317 JFLSA7 0022-1120
[26] , “PIV and Force Measurements on the Flapping-Wing MAV DelFly II,” M.S. Thesis, Delft Univ. of Technology, Delft, The Netherlands, 2010.