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Concerning Dynamic Stall

Published online by Cambridge University Press:  07 June 2016

F.T. Smith
F.T. Smith*
Affiliation:
Mathematics Department, Imperial College, London
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Summary

The unsteady breakdown or stall of streamlined flow near the rounded leading edge of an aerofoil, as the small angle of attack is raised above its critical stall value, is studied theoretically for large Reynolds number motion. The unsteady developments take place first over a relatively slow time scale but then the corresponding solution breaks down with a singularity, forcing a switch to a faster and more nonlinear process. The latter involves a very pronounced local bulge appearing in the flow displacement, accompanied by reversed flow at the aerofoil surface, and comparisons with experimental observations of dynamic stall are noted.

Type
Research Article
Information
Aeronautical Quarterly , Volume 33 , Issue 4 , November 1982 , pp. 331 - 352
Copyright
Copyright © Royal Aeronautical Society. 1982

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References

1 Batchelor, G.K. An introduction to fluid dynamics, Cambridge Univ. Press, 1967 Google Scholar
2 Brown, S.N. and Stewartson, K. Laminar separation. Ann. Rev. Fluid Meohs., Vol. 1, p 45, 1969 CrossRefGoogle Scholar
3 Cebeci, T., Stewartson, K. and Williams, P.G. Separation and reattachment near the leading edge of a thin airfoil at incidence. AGARD Symp., Comp. of viscous-inviscid interacting flows, Colorado Springs, U.S.A., 1980 Google Scholar
4 Cheng, H.K. and Smith, F.T. The influence of airfoil thickness and Reynolds number on separation. Z. Ang. Math. Phys., Vol. 33, p 151, 1982 Google Scholar
5 Elliott, J.W., Cowley, S.J. and Smith, F.T. Boundary layer breakdown (i) on moving surfaces (ii) in semi-similar unsteady flow (iii) in fully unsteady flow, submitted for publication, 1982 Google Scholar
6 Goldstein, S. On laminar boundary layer flow near a point of separation. Quart. J. Mech. Appl. Math., Vol. 1, p 43, 1948 Google Scholar
7 McAllister, K.W. and Carr, L.W. Water-tunnel visualizations of dynamic stall. Trans. ASME Jnl. of Fluids Eng., Vol. 101, p 376, 1979 Google Scholar
8 McCroskey, W.J. Unsteady airfoils. Ann. Rev. Fluid Mechs., Vol. 14, p 285, 1982 Google Scholar
9 Smith, F.T. and Daniels, P.G. Removal of Goldstein’s singularity at separation, in flow past obstacles in wall layers. J. Fluid Mech., Vol. 110, p 1, 1981 Google Scholar
10 Smith, F.T. Interacting flow theory and a nonsymmetric trailing edge-stall? United Tech. Res. Center, East Hartford, Conn., U.S.A., Rept.; also to appear, J. Fluid Mech., 1982aCrossRefGoogle Scholar
11 Smith, F.T. On the high Reynolds number theory of laminar flows. I.M.A. Jnl. of Applied Math., Vol. 28, p 207, 1982bGoogle Scholar
12 Smith, F.T. In preparation, 1983 Google Scholar
13 Stewartson, K. Is the singularity at separation removable? J. Fluid Mech., Vol. 44, p 347, 1970 Google Scholar
14 Stewartson, K., Smith, F.T. and Kaups, K. Marginal separation. Stud. in Appl. Math., Vol. 67, p 45, 1982 (SSK)Google Scholar
15 van Dommelen, L.L. Ph.D. Thesis, Univ. of Cornell, 1981 Google Scholar