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The unsteady motion of a two-dimensional aerofoil in incompressible inviscid flow

Published online by Cambridge University Press:  12 April 2006

B. C. Basu  and
G. J. Hancock
B. C. Basu
Affiliation:
Department of Aeronautical Engineering, Queen Mary College, Mile End Road, London E1 4NS
G. J. Hancock
Affiliation:
Department of Aeronautical Engineering, Queen Mary College, Mile End Road, London E1 4NS
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Abstract

A numerical method has been developed for the calculation of the pressure distribution, forces and moments on a two-dimensional aerofoil undergoing an arbitrary unsteady motion in an inviscid incompressible flow. In a discussion of the appropriate Kutta condition(s) it is argued that two Kutta conditions are required to obtain a satisfactory solution. The method is applied to (i) a sudden change in aerofoil incidence, (ii) an aerofoil oscillating at high frequency and (iii) an aerofoil passing through a sharp-edged gust.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 87 , Issue 1 , 12 July 1978 , pp. 159 - 178
Copyright
© 1978 Cambridge University Press

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References

Basu, B. C. & Hancock, G. J. 1978 Two dimensional aerofoils and control surfaces in simple harmonic motion in incompressible inviscid flow. Aero. Res. Coun. Current Paper no. 1392.Google Scholar
Giesing, J. P. 1968 Non-linear two-dimensional unsteady potential flow with lift. J. Aircraft 5 (2), 135.Google Scholar
Giesing, J. P. 1969 Vorticity and Kutta condition for unsteady multi-energy flows. Trans. A.S.M.E., J. Appl. Mech. 91, 608.Google Scholar
Glauert, H. 1947 The elements of Aerofoil and Aircrew Theory, 2nd edn. Cambridge University Press.
Hancock, G. J. & Padfield, G. 1972 Numerical solution for steady two-dimensional aerofoils in incompressible flow. Queen Mary Coll. Rep. EP-1003.Google Scholar
Hess, J. L. & Smith, A. M. O. 1967 Calculation of potential flow about arbitrary bodies. Prog. Aero. Sci. 8, 1.Google Scholar
Maskell, E. C. 1972 On the Kutta–Joukowski condition in two-dimensional unsteady flow. Unpublished note, Roy. Aircraft Establishment, Farnborough.
Vooren, A. I. Van Der & Vel, H. VAN DER 1964 Unsteady profile theory in incompressible flow. Arch. Mech. Stosowanej 3.Google Scholar