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Two-dimensional viscous flow past flexible sail sections close to ideal incidence

Published online by Cambridge University Press:  04 July 2016

P. S. Jackson  and
S. P. Fiddes
P. S. Jackson
Affiliation:
Department of Mechanical Engineering , University of Auckland, New Zealand
S. P. Fiddes
Affiliation:
Department of Aerospace Engineering , University of Bristol, Bristol, UK
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Abstract

A model of the viscous flow past a flexible sail section operating near the ideal incidence is described. Viscous effects are calculated via weak viscous-inviscid interaction of a panel method and an integral boundary layer method, and a new model for the leading edge separation bubble is introduced. The flexible section is allowed to deform in response to the pressure and shear stresses acting on it. Results are presented for the effect of incidence, excess length and Reynolds number on the development of the boundary layers on each side of the section and the consequences for the lift and drag of the section are described. The numerical model is compared with experimental results, giving in general good agreement and shedding light on the physics of the viscous flow past flexible membranes.

Type
Research Article
Information
The Aeronautical Journal , Volume 99 , Issue 986 , July 1995 , pp. 217 - 225
Copyright
Copyright © Royal Aeronautical Society 1995 

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References

1. Jackson, P.S. A simple model for elastic two-dimensional sails, AIAA J, 1983, 21, pp 153–155.Google Scholar
2. Von voelk, K. Hauptaufsatze, profil und auftrieb eines segels, Zeitschrift für Angewandte Mathematik und Mechanik, Ingenieurwis-senschaftliche Forschungsarbeiten, 1950, 30, pp 20–39.Google Scholar
3. Nielsen, J.N. Theory of flexible aerodynamic surfaces, J Appl Mech, 1963, 3, pp 435–442.Google Scholar
4. Thwaites, B. Aerodynamic theory of sails, Proc R Soc A, 1961, A261, pp 402–422.Google Scholar
5. Sneyd, A.D. Aerodynamic coefficients and longitudinal stability of sail aerofoils, J Fluid Mech, 1984, 149, pp 127–146.Google Scholar
6. Vanden-broek, J-M. Nonlinear two-dimensional sail theory, Phys Fluids, 1982, 25, pp 420–423.Google Scholar
7. Jackson, P.S. Two-dimensional sails in inviscid flow, J Ship Research, 1984, 28, pp 11–17.Google Scholar
8. Newman, B.G. Aerodynamic theory for membranes and sails, Prog Aerospace Sci, 1987, 24, pp 1–27.Google Scholar
9. Chapleo, A.Q. A review of two-dimensional sails, SUYR Rep 23, Southampton Univ, 1968.Google Scholar
10. Newman, B.G. and Low, H.T. Two-dimensional impervious sails; experimental results compared with theory, J Fluid Mech, 1984, 144, pp 445-46.Google Scholar
11. Greenhalgh, S., Curtiss, H.C. JR, and Smith, B. Aerodynamic properties of a two-dimensional inextensible flexible airfoil, AIAA J, 1984, 22, pp 865–870.Google Scholar
12. Sugimoto, T. and Sato, J. Aerodynamic characteristics of two-dimensional membrane aerofoils, Trans Jap Soc Aero and Space Sciences, 1991, 34, pp 88–100.Google Scholar
13. Lock, R.C. and Williams, B.R. Viscous-inviscid interaction in external aerodynamics, Prog Aerospace Sci, 1987, 24, pp 51–171.Google Scholar
14. Fiddes, S.P. and Jackson, P.S. A new view of the vortex lattice method. To appear.Google Scholar
15. Rose, L.M. and Altman, J.M. Low-speed investigation of the stalling of a thin, faired double-wedge airfoil with nose flap, NACA TN-2172, 1950.Google Scholar
16. Cebeci, T., Khattab, A.K. and Stewartson, K. On nose separation, J Fluid Mech, 1980, 97, pp 435-55.Google Scholar
17. Lighthill, M.J. A new approach to thin aerofoil theory. Aeronaut Q, 1951, 3, pp 193–210.Google Scholar
18. Rothmeyer, A.P. A new interacting boundary layer formulation for flows past bluff bodies, Smith, F.T. and Brown, S.N. (Eds), IUTAM Symposium on Boundary Layer Separation, 1986, pp 197–214.Google Scholar
19. Newman, B.G. and Tse, M-C. Incompressible flow past a flat plate aerofoil with leading-edge separation bubble, Aeronaut J, February 1992, 96, (952), pp 57–64.Google Scholar
20. Tuck, E.O. A criterion for leading-edge separation, J Fluid Mech, 1991, 222, pp 33–37.Google Scholar
21. Horton, H.P. A semi-empirical theory for the growth and bursting of laminar separation bubbles, ARC CP 1073, 1967.Google Scholar
22. Head, M.R. Entrainment in the turbulent boundary layer, ARC R&M No3152, 1958.Google Scholar
23. Green, J.E., Weeks, D.J. and Brooman, J.W.F. Prediction of turbu lent boundary layers and wakes in compressible flow, ARC R&M No 3791, 1973.Google Scholar
24. Granville, P.S. The calculation of viscous drag of bodies of revolution, David Taylor Model Basin Report 849, 1953.Google Scholar
25. Arnal, D., Hababallah, M., and Coustols, E. Laminar instability theory and transition criteria in two and three-dimensional flow, Recherche Aerospatiale, 1984-2, 1984.Google Scholar
26. Rose, L.M. and Altman, J.M. Low-speed investigation of the stalling of a thin, faired double-wedge airfoil with nose flap, NACA TN-1934, 1949.Google Scholar
27. Newman, B.G. and Tse, M-C. Thin uncambered aerofoils with a leading-edge separation bubble, 10th Aust Fluid Mechanics Conf, 1989, pp 8.23-36, 1989.Google Scholar
28. McCullough, G.B. and Gault, D.E. Examples of three representa tive types of airfoil stall at low speed, NACA TN-2502, 1951.Google Scholar
29. Wallis, R.A. Wind tunnel tests on a series of circular arc plate aerofoils, CSIRO, Div of Aero, Aerodynamics Note 74, 1946.Google Scholar
30. Milgram, J.H. Section data for thin, highly cambered aerofoils in incompressible flow, NASA CR-1767, 1971.Google Scholar