Hostname: page-component-848d4c4894-2xdlg Total loading time: 0 Render date: 2024-07-05T17:17:17.146Z Has data issue: false hasContentIssue false

Model for sectional leading-edge vortex lift for the prediction of rotating samara seeds performance

Published online by Cambridge University Press:  05 May 2020

D. Rezgui*
Affiliation:
Department of Aerospace Engineering, University of Bristol, Queen’s Building, Bristol, BS8 1TR, UK
I.H. Arroyo
Affiliation:
Space Centre, Skolkovo Institute of Science and Technology, Moscow Region, 121205, Russia
R. Theunissen
Affiliation:
VITO, Boerentang 200, 2400Mol, Belgium

Abstract

This article presents a development of a simple analytical aerodynamic model capable of describing the effect of leading-edge vortices (LEVs) on the lift of rotating samara wings. This analytical model is based on the adaptation of Polhamus’ method to develop a sectional two-dimensional lift function, which was implemented in a numerical blade element model (BEM) of a rotating samara blade. Furthermore, wind tunnel experiments were conducted to validate the numerical BEM and to assess the validity of the newly developed analytical lift function. The results showed good agreement between the numerical model and the experimental measurements of rotational speed and rate of descent of the samara wing. The results were also compared with numerical predictions using BEM but adopting different lift coefficient expressions available in literature. This research contributed towards efficient aerodynamic modelling of the lift generated by LEVs on rotating samara wings for performance prediction, which could potentially be used in the design of bio-inspired rotary 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

Nathan, R., Katul, G.G., Horn, H.S., Thomas, S.M., Oren, R., Avissar, R., Pacala, S.W. and Levin, S.A.Mechanisms of long-distance dispersal of seeds by wind, Nature, 2002, 418, (6896), pp 409413. DOI: 10.1038/nature00844.CrossRefGoogle ScholarPubMed
Lentink, D., Dickson, W.B., van Leeuwen, J.L. and Dickinson, M.H.Leading-edge vortices elevate lift of autorotating plant seeds, Science, 2009, 324, (5933), pp 14381440. DOI: 10.1126/science.1174196.CrossRefGoogle ScholarPubMed
Salcedo, E., TreviÑo, C., Vargas, R.O. and MartÍnez-SuÁstegui, L.Stereoscopic particle image velocimetry measurements of the three-dimensional flow field of a descending autorotating Mahogany seed (Swietenia macrophylla), J Experimental Biology, 2013, 216, (11), pp 20172030. DOI: 10.1242/jeb.085407.CrossRefGoogle Scholar
Gursul, I., Wang, Z. and Vardaki, E.Review of flow control mechanisms of leading-edge vortices, Progress in Aerospace Sciences, 2007, 43, (7), pp 246270. DOI: 10.1016/j.paerosci.2007.08.001.CrossRefGoogle Scholar
Shyy, W., Lian, Y., Tang, J., Viieru, D. and Liu, H.Aerodynamics of Low Reynolds Number Flyers, Cambridge University Press, 2007, New York, US. DOI: 10.1017/CBO9780511551154.Google Scholar
Shyy, W., Aono, H., Kang, C.k. and Liu, H.An Introduction to Flapping Wing Aerodynamics, Cambridge University Press, 2013, New York, US. DOI: 10.1017/CBO9781139583916.CrossRefGoogle Scholar
Thomas, A.L.R., Taylor, G.K., Srygley, R.B., Nudds, R.L. and Bomphrey, R.J.Dragonfly flight: free-flight and tethered flow visualizations reveal a diverse array of unsteady lift-generating mechanisms, controlled primarily via angle-of-attack, J Experimental Biology, 2004, 207, (24), pp 42994323. DOI: 10.1242/jeb.01262.CrossRefGoogle ScholarPubMed
Muijres, F.T., Johansson, L.C., Winter, Y. and HedenstrÖm, A.Leading edge vortices in lesser long-nosed bats occurring at slow but not fast flight speeds, Bioinspiration & Biomimetics, 2014, 9, (2), p 025006.CrossRefGoogle Scholar
Yasuda, K. and Azuma, A.The autorotation boundary in the flight of samaras, J Theoretical Biology, 1997, 185, (3), pp 313320. DOI: 10.1006/jtbi.1996.0299.CrossRefGoogle Scholar
Lee, I. and Choi, H.Scaling law for the lift force of autorotating falling seeds at terminal velocity, J Fluid Mech, 2018, 835, pp 406420. DOI: 10.1017/jfm.2017.746.CrossRefGoogle Scholar
Ansari, S., Żbikowski, R. and Knowles, K.Aerodynamic modelling of insect-like flapping flight for micro air vehicles, Progress in Aerospace Sciences, 2006, 42, (2), pp 129172. DOI: 10.1016/j.paerosci.2006.07.001.CrossRefGoogle Scholar
Traub, L.W.Analysis and estimation of the lift components of hovering insects, J Aircr, 2004, 41, (2), pp 284289. DOI: 10.2514/1.9323.CrossRefGoogle Scholar
Polhamus, E.C. A concept of the vortex lift of sharp-edge delta wings based on a leading-edge-suction analogy, NASA-TN D-3767, NASA Langley Research Center, Hampton, VA, US, 1966.Google Scholar
Nabawy, M.R.A. and Crowther, W.J.On the quasi-steady aerodynamics of normal hovering flight part I: the induced power factor, J The Royal Soc Interface, 2014, 11, (93), p 20131196. DOI: 10.1098/rsif.2013.1196.CrossRefGoogle ScholarPubMed
Maybury, W.J., Rayner, J.M.V. and Couldrick, L.B.Lift generation by the avian tail, Proceedings of the Royal Society of London B: Biological Sciences, 2001, 268, (1475), pp 14431448. DOI: 10.1098/rspb.2001.1666.CrossRefGoogle ScholarPubMed
Nabawy, M.R.A. Design of insect-scale flapping wing vehicles, PhD Thesis, The University of Manchester, 2015.Google Scholar
Nabawy, M.R.A. and Crowther, W.J.The role of the leading edge vortex in the lift augmentation of steadily revolving wings: a change in perspective, J the Royal Soc Interface, 2017, 14, (132), p 20170159. DOI: 10.1098/rsif.2017.0159.CrossRefGoogle Scholar
Nabawy, M.R.A. and Crowther, W.J.A quasi-steady lifting line theory for insect-like hovering flight, PLoS One, 2015, 10, (e0134972), pp 118. DOI: 10.1371/journal.pone.0134972.CrossRefGoogle ScholarPubMed
Azuma, A. and Yasuda, K.Flight performance of rotary seeds, J Theoretical Biology, 1989, 138, (1), pp 2353. DOI: 10.1016/S0022-5193(89)80176-6.CrossRefGoogle Scholar
Lamar, J.E. Extension of leading-edge-suction analogy to wings with separated flow around the side edges at subsonic speeds, NASA-TR-R-428, L-9460, NASA Langley Research Center, 1974, Hampton, VA, US.Google Scholar
Bradley, R.G., Smith, C.W. and Bhateley, I.C.Vortex-lift prediction for complex wing planforms, J Aircr, 1973, 10, (6), pp 379381. DOI: 10.2514/3.44375.CrossRefGoogle Scholar
Melin, T.Tornado, a Vortex Lattice MATLAB Implementation for Linear Aerodynamic Wing Applications, Royal Institute of Technology (KTH), 2000, Sweden.Google Scholar
Jung, B. and Rezgui, D. Investigating the autorotational performance of scaled samara rotor in vertical and forward flight, Proceedings of the 42nd European Rotorcraft Forum 2016, Lille, France, 2016.Google Scholar
Azuma, A. and Okuno, Y.Flight of a Samara: Alsomitra Macrocarpa, J Theoretical Biology, 1987, 129, (3), pp 263274. DOI: 10.1016/S0022-5193(87)80001-2.CrossRefGoogle Scholar
Azuma, A., Nasu, K. and Hayashi, T.An extension of the local momentum theory to the rotor operating in twisted flow field, Vertica, 1987, 7, (1), pp 4559.Google Scholar
Seter, D. and Rosen, A.Study of The Vertical Autorotation of a Single-Winged Samara, Biological Reviews, 1992, 67, pp 175197.CrossRefGoogle Scholar
Brandt, S., Stiles, R., Bertin, J. and Whitford, R.Introduction to Aeronautics: A Design Perspetive, American Institute of Aeronautics & Astronautics, 2004, Reston, VA, pp 113172. DOI: 10.2514/4.103278.CrossRefGoogle Scholar
Schlichting, H. and Truckenbrodt, E.Aerodynamics of the Airplane, McGraw-Hill, 1979, New York, NY, US.Google Scholar
Nabawy, M.R. and Crowther, W.J.On the quasi-steady aerodynamics of normal hovering flight part II: model implementation and evaluation, J Royal Soc Interface, 2014, 11, (20131197), pp 19. DOI: 10.1098/rsif.2013.1196.Google ScholarPubMed
Jones, R. Correction of the lifting line theory for the effect of the chord, NACA-TN-817 NASA, 1941.Google Scholar
Leishman, J.G.Principles of Helicopter Aerodynamics, Cambridge University Press, 2002, New York, NY, US.Google Scholar
Lee, S.J., Lee, E.J. and Sohn, M.H.Mechanism of autorotation flight of maple samaras (Acer palmatum), Experiments in Fluids, 2014, 55, (4), p 1718. DOI: 10.1007/s00348-014-1718-4.CrossRefGoogle Scholar
Limacher, E. and Rival, D.On the distribution of leading-edge vortex circulation in samara-like flight, J Fluid Mech, 2015, 776, pp 316333. DOI: 10.1017/jfm.2015.279.CrossRefGoogle Scholar
Bradshaw, P. and Pankhurst, R.C.The design of low-speed wind tunnels, Progress in Aerospace Sciences, 1964, 5, pp 169. DOI: 10.1016/0376-0421(64)90003-X.CrossRefGoogle Scholar
Brusca, S., Lanzafame, R. and Messina, M.Low-speed wind tunnel: Design and build, Wind Tunnels: Aerodynamics, Models and Experiments, J. D. Pereira (Ed.), Nova Science, New York, NY, USA, 2011, pp. 189220.Google Scholar
“BitFenix Spectre PRO 230mm,” [Online]. Available: https://www.overclockers.co.uk/bitfenix-spectre-pro-230mm-black-fg-020-bx.html. [Accessed: 31-Dec-2019].Google Scholar
Arroyo, I.H., Rezgui, D. and Theunissen, R. Analytical model for leading-edge vortex lift on rotating samara seeds: development and validation, Proceedings of the 2016 RAeS Applied Aerodynamics Conference, Bristol, UK, 2016.Google Scholar
Dantec Dynamics, “MiniCTA Measurement - Dantec Dynamics,” [Online]. Available: https://www.dantecdynamics.com/solutions-applications/solutions/fluid-mechanics/constant-temperature-anemometry-cta/minicta/. [Accessed: 31-Dec-2019].Google Scholar
“Sycamore (Acer pseudoplatanus) - Woodland Trust,” [Online]. Available: https://www.woodlandtrust.org.uk/trees-woods-and-wildlife/british-trees/a-z-of-british-trees/sycamore/. [Accessed: 31-Dec-2019].Google Scholar
“Acer pseudoplatanus - Queensland Government,” [Online]. Available: http://keyserver.lucidcentral.org/weeds/data/media/Html/acer_pseudoplatanus.htm. [Accessed: 31-Dec-2019].Google Scholar