Hostname: page-component-78c5997874-xbtfd Total loading time: 0 Render date: 2024-11-10T19:26:47.016Z Has data issue: false hasContentIssue false

Comparative study on analytical and computational aerodynamic models for flapping wings MAVs

Published online by Cambridge University Press:  07 July 2020

M.F. Valdez*
Affiliation:
Facultad de Ingeniería and Instituto de Investigaciones en Energía no Convencional, Universidad Nacional de Salta and CONICET, Salta, Argentina
B. Balachandran
Affiliation:
Department of Mechanical Engineering, University of Maryland College Park, MD, 20742, USA
S. Preidikman
Affiliation:
Instituto de Estudios Avanzados en Ingeniería y Tecnología (IDIT), Universidad Nacional de Córdoba and CONICET, Córdoba, Córdoba, 5000, Argentina

Abstract

A range of quasi-steady and unsteady aerodynamic models are used to predict the aerodynamic forces experienced by a flapping wing and a detailed comparison amongst these predictions in provided. The complexity of the models ranges from the analytical potential flow model to the computational Unsteady Vortex Lattice Method (UVLM), which allows one to describe the motion of the wake and account for its influence on the fluid loads. The novelty of this effort lies in a modification of the predicted forces as a generalisation of the leading edge suction analogy. This modification is introduced to account for the delayed stall mechanism due to leading edge flow separation. The model predictions are compared with two sets of independent experimental data and with computational fluid dynamics (CFD) simulation data available in the literature. It is found that both, the modified analytical model and the UVLM model can be used to describe the time history of the lift force, in some cases with better results than a high-fidelity CFD model. The models presented here constitute a useful basis for the aerodynamic design of bioinspired flapping-wings micro-air vehicles.

Type
Research Article
Copyright
© The Author(s) 2020. Published by Cambridge University Press on behalf of Royal Aeronautical Society

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Chin, D.D. and Lentink, D.Flapping wing aerodynamics: From insects to vertebrates. J Exp Biol, 2016, 219, (7), pp 920932.CrossRefGoogle ScholarPubMed
Shyy, W., Kang, C., Chirarattananon, P., Ravi, S. and Liu, H. Aerodynamics, sensing and control of insect-scale flapping-wing flight. Proc R Soc A Math Phys Eng Sci, 2016, 472, (2186), 20150712.CrossRefGoogle ScholarPubMed
Weis-Fogh, T.Quick estimates of flight fitness in hovering animals, including novel mechanisms for lift production. J Exp Biol, 1973, 59, (1), pp 169230.Google Scholar
Ellington, C.P.The aerodynamics of hovering insect flight. IV. Aerodynamic mechanisms. Philos Trans R Soc London B Biolog Sci, 1984, 305, (1122), pp 79113.Google Scholar
Dickinson, M.H. and Götz, K.G.Unsteady aerodynamic performance of model wings at low reynolds numbers. J Exp Biol, 1993, 174, (1), pp 4564.Google Scholar
Birch, J.M. and Dickinson, M.H.Spanwise flow and the attachment of the leading-edge vortex on insect wings. Nature, 2001, 412, (6848), p 729.CrossRefGoogle Scholar
Dickinson, M.H., Lehmann, F. and Sane, S.P.Wing rotation and the aerodynamic basis of insect flight. Science, 1999, 284, (5422), pp 19541960. ISSN 1095-9203. http://dx.doi.org/10.1126/science.284.5422.1954.CrossRefGoogle ScholarPubMed
Birch, J.M. and Dickinson, M.H.The influence of wing–wake interactions on the production of aerodynamic forces in flapping flight. J Exp Biol, 2003, 206, (13), 22572272.CrossRefGoogle ScholarPubMed
Sane, S.P.The aerodynamics of insect flight. J Exp Biol, 2003, 206, (23), 41914208. ISSN 1477-9145. http://dx.doi.org/10.1242/jeb.00663.CrossRefGoogle ScholarPubMed
Vanella, M., Fitzgerald, T., Preidikman, S., Balaras, E. and Balachandran, B.Influence of flexibility on the aerodynamic performance of a hovering wing. J Exp Biol, 2009, 212, (1), 95105.CrossRefGoogle ScholarPubMed
Fitzgerald, T., Valdez, M., Vanella, M., Balaras, E. and Balachandran, B.Flexible flapping systems: Computational investigations into fluid-structure interactions. Aeronaut J, 2011, 115, (1172), pp 593604.CrossRefGoogle Scholar
Ansari, S.A., , R. and Knowles, K.Aerodynamic modelling of insect-like flapping flight for micro air vehicles. Prog Aerosp Sci, 2006, 42, (2), pp 129172.CrossRefGoogle Scholar
Weis-Fogh, T.Biology and physics of locust flight II. Flight performance of the desert locust (schistocerca gregaria). Philos Trans R Soc London Ser B Biologl Sci, 1956, 239, (667), 459510.Google Scholar
Jensen, M.Biology and physics of locust flight. III. The aerodynamics of locust flight. Philosophical Trans R Soc London Ser B Biolog Sci, 1956, 239, (667), pp 511552.Google Scholar
DeLaurier, J.D.An aerodynamic model for flapping-wing flight. Aeronaut J, 1993, 97, (964), pp 125130.Google Scholar
Betteridge, D.S. and Archer, R.D.A study of the mechanics of flapping wings. Aeronaut Q, 1974, 25, (2), pp 129142.CrossRefGoogle Scholar
Minotti, F.O.Unsteady two-dimensional theory of a flapping wing. Phys Rev E, 2002, 66, (5), 051907.CrossRefGoogle ScholarPubMed
Żbikowski, R.On aerodynamic modelling of an insect–like flapping wing in hover for micro air vehicles. Philos Trans R Soc London Ser A Math Phys Eng Sci, 2002, 360, (1791), pp 273290.CrossRefGoogle ScholarPubMed
Pedersen, C.B. and Żbikowski, R.An indicial-polhamus aerodynamic model of insect-like flapping wings in hover. WIT Trans State-of-the-Art Sci Eng, 2006, 4.Google Scholar
Ansari, S.A., Żbikowski, R. and Knowles, K.Non-linear unsteady aerodynamic model for insect-like flapping wings in the hover. Part 1: Methodology and analysis. Proc Inst Mech Eng Part G J Aerosp Eng, 2006 b, 220, (2), pp 6183.CrossRefGoogle Scholar
Ansari, S.A., Żbikowski, R. and Knowles, K.Non-linear unsteady aerodynamic model for insect-like flapping wings in the hover. Part 2: Implementation and validation. Proc Inst Mech Eng Part G J Aerosp Eng, 2006 c, 220, (3), pp 169186.CrossRefGoogle Scholar
Yu, Y., Tong, B. and Ma, H.An analytic approach to theoretical modeling of highly unsteady viscous flow excited by wing flapping in small insects. Acta Mechanica Sinica, 2003, 19, (6), 508516.Google Scholar
Smith, M., Wilkin, P. and Williams, M.The advantages of an unsteady panel method in modelling the aerodynamic forces on rigid flapping wings. J Exp Biol, 1996, 199, (5), 10731083.Google ScholarPubMed
Wang, Z.J., Birch, J.M. and Dickinson, M.H.Unsteady forces and flows in low reynolds number hovering flight: Two-dimensional computations vs robotic wing experiments. J Exp Biol, 2004, 207, (3), 449460.CrossRefGoogle ScholarPubMed
Liu, H., Ellington, C.P., Kawachi, K., Van Den Berg, C. and Willmott, A.P.A computational fluid dynamic study of hawkmoth hovering. J Exp Biol, 1998, 201, (4), pp 461477.Google ScholarPubMed
Sun, M. and Tang, J.Unsteady aerodynamic force generation by a model fruit fly wing in flapping motion. J Exp Biol, 2002, 205, (1), 5570.Google ScholarPubMed
Ramamurti, R. and Sandberg, W.C.A three-dimensional computational study of the aerodynamic mechanisms of insect flight. J Exp Biol, 2002, 205, (10), pp 15071518.Google ScholarPubMed
Nakata, T., Liu, H., Tanaka, Y., Nishihashi, N., Wang, X. and Sato, A.Aerodynamics of a bio-inspired flexible flapping-wing micro air vehicle. Bioinspiration Biomimetics, 2011, 6, (4), 045002.CrossRefGoogle ScholarPubMed
Nakata, T., Liu, H. and Bomphrey, R.J.A cfd-informed quasi-steady model of flapping-wing aerodynamics. J Fluid Mech, 2015, 783, pp 323343.CrossRefGoogle ScholarPubMed
Altenbuchner, C. and Hubbard, J.E. Jr.Modern Flexible Multi-body Dynamics Modeling Methodology for Flapping Wing Vehicles, Academic Press, 2017.Google Scholar
Milne-Thompson, L.M.Theoretical Hydrodynamics, Macmillan, 1962, London, 4th ed.Google Scholar
Polhamus, E.C. A concept of the vortex lift of sharp-edge delta wings based on a leading-edge-suction analogy. Nasa Technical Note td-d3767, National Aeronautics and Space Administration, 1966.Google Scholar
Katz, J. and Plotkin, A.Low-Speed Aerodynamics, Cambridge University Press, 2001.CrossRefGoogle Scholar
Nitsche, M. and Krasny, R.A numerical study of vortex ring formation at the edge of a circular tube. J Fluid Mech, 1994, 276, pp 139161.CrossRefGoogle Scholar
Jones, M.A.The separated flow of an inviscid fluid around a moving flat plate. J Fluid Mech, 2003, 496, pp 405441.10.1017/S0022112003006645CrossRefGoogle Scholar
Wang, Z.J.Vortex shedding and frequency selection in flapping flight. J Fluid Mech, 2000, 410, 323341.CrossRefGoogle Scholar
Taylor, K.E.Summarizing multiple aspects of model performance in a single diagram. J Geophys Res Atmos, 2001, 106, (D7), 71837192.CrossRefGoogle Scholar
Sane, S.P. and Dickinson, M.H.The control of flight force by a flapping wing: Lift and drag production. J Exp Biol, 2001, 204, (15), pp 26072626.Google ScholarPubMed
Chen, K.K., Colonius, T. and Taira, K.The leading-edge vortex and quasisteady vortex shedding on an accelerating plate. Phys. Fluids, 2010, 220 (3), 033601.CrossRefGoogle Scholar
Ellington, C.P.The aerodynamics of hovering insect flight. II. Morphological parameters. Philos Trans R Soc London B Biolog Sci, 1984, 305, (1122), pp 1740.Google Scholar