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Correlated unsteady and steady laminar trailing-edge flows

Published online by Cambridge University Press:  20 April 2006

S. N. Brown  and
H. K. Cheng
S. N. Brown
Affiliation:
Department of Mathematics, University College, London
H. K. Cheng
Affiliation:
Department of Aerospace Engineering, University of Southern California, Los Angeles
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Abstract

The incompressible laminar flow in the neighbourhood of the trailing edge of an aerofoil undergoing sinusoidal oscillations of small amplitude in a uniform stream is described in the limit as the Reynolds number R tends to infinity. It is shown that if the frequency parameter is of any order less than R¼ the viscous correction to the Kutta condition and hence to the lift and moment may be determined from the results for the steady case. Justification of this correlation requires discussion of the flow in an additional region not encountered in previous studies.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 108 , July 1981 , pp. 171 - 183
Copyright
© 1981 Cambridge University Press

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References

Brown, S. N. & Daniels, P. G. 1975 On the viscous flow about the trailing edge of a rapidly oscillating plate. J. Fluid Mech. 67, 743–761.Google Scholar
Brown, S. N. & Stewartson, K. 1970 Trailing-edge stall. J. Fluid Mech. 42, 561–584.Google Scholar
Chow, R. & Melnik, R. E. 1977 Numerical solutions of the triple-deck equations for laminar trailing-edge stall. Proc. 5th Int. Conf. on Numerical Methods in Fluid Dyn., Lecture Notes in Physics, vol. 59, pp. 135–144. Springer.
Jobe, C. E. & Burggraf, O. R. 1974 The numerical solutions of the asymptotic equation of trailing-edge flow. Proc. Roy. Soc. A 340, 91–111.Google Scholar
Melnik, R. E. & Chow, R. 1975 Asymptotic theory of two-dimensional trailing-edge flows. Presented at NASA Conf. on ‘Aerodynamic analysis requiring advanced computers’.
Messiter, A. F. 1970 Boundary-layer flow near the trailing edge of a flat plate. S.I.A.M. J. Appl. Math. 18, 241–257.Google Scholar
Robinson, A. & Laurmann, J. A. 1956 Wing Theory. Cambridge University Press.
Stewartson, K. 1969 On the flow near the trailing edge of a flat plate II. Mathematika 16, 106–121.Google Scholar
Veldman, A. E. P. & Van de Vooren, A. I. 1974 Drag of a finite plate. Proc. 4th Int. Conf. on Numerical Methods in Fluid Dyn., Lecture Notes in Physics, vol. 35, pp. 422–430. Springer.