Hostname: page-component-745bb68f8f-s22k5 Total loading time: 0 Render date: 2025-01-08T17:31:08.866Z Has data issue: false hasContentIssue false
  • English
  • Français

An Alternative Approach to the High Aspect Ratio Wing With Jet Flap by Matched Asymptotic Expansions

Published online by Cambridge University Press:  07 June 2016

T. Kida  and
Y. Miyai
T. Kida
Affiliation:
(Department of Mechanical Engineering, University of Osaka Prefecture, Japan)
Y. Miyai
Affiliation:
(Department of Mechanical Engineering, University of Osaka Prefecture, Japan)
Get access

Summary

An alternative method is described for solving the problem of a three-dimensional jet-flapped wing with a high aspect-ratio. This method is similar to the lifting-line theory of Kerney6 or Tokuda7, but differs in that the method of matched asymptotic expansions is applied to an integral equation, derived from the lifting surface theory, rather than a partial differential equation. The advantage of the present method over those used previously is that the necessary outer solutions are obtained directly; it is not necessary to rely upon physical insight or considerable ingenuity. The final results are different from those obtained by the previous authors; it is shown that the present result is correct, by noting some errors in the earlier theories.

Type
Research Article
Information
Aeronautical Quarterly , Volume 29 , Issue 4 , November 1978 , pp. 227 - 250
Copyright
Copyright © Royal Aeronautical Society. 1978

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

1 Lan, C.E. and Campbell, J.F. Theoretical Aerodynamics of Upper-Surface-Blown Jet-Wing Interaction, NASA TN D-7936, 1975 Google Scholar
2 Maskell, E.C. and Spence, D.A. A theory of the jet flap in three dimensions, Proa. Roy. Soc., A, 251, 1959, pp. 407–425.Google Scholar
3 Hartunian, R.A. The Finite-Aspect-Ratio Jet Flap, Report No. AI-1190-A-3, Cornell Aeronautical Lab., Buffalo, N.Y., 1959.Google Scholar
4 Thwaites, B. (ed) Incompressible Aerodynamics, Clarendon Press, Oxford, 1960, pp. 305–313.Google Scholar
5 Lissaman, P.B.S. Analysis of High-Aspect Ratio Jet-Flap Wings of Arbitrary Geometry, J. Aircraft, 11-5, May, 1974, pp. 259–265.Google Scholar
6 Kerney, K.P. A Theory of the High-Aspect Ratio Jet-Flap, AIAA J., 9-3, March 1971, pp. 431–435.Google Scholar
7 Tokuda, N. An asymptotic theory of the jet flap in three dimensions, J. Fluid Mech., 46, 1971, pp. 705–726.Google Scholar
8 Van Dyke, M. Lifting-Line Theory as a Singular-Perturbation Problem, J. Applied Math., Vol. 28, 1964, pp.90–102.Google Scholar
9 Kida, T. and Miyai, Y. UnpublishedGoogle Scholar
10 Kida, T. and Miyai, Y. A Note on the Lift Coefficient of a Thin Jet-Flapped Airfoil, Trans. Japan Soc. Aero./Space Sci., 15–30, 1973, pp. 163–177.Google Scholar
11 Ashley, H. and Landahl, M.T. Aerodynamics of Wings and Bodies, Addison-Wesley Pub. Co. Inc., New York, 1965, pp. 124–148.Google Scholar
12 Van Dyke, M. Perturbation Methods in Fluid Mechanics, The Parabolic Press, Stanford, 1975.Google Scholar
13 Shen, C.C. and Lopez, M.L. A Jet-Wing Lifting-Surface Theory Using Elementary Vortex Distributions, AIAA Paper No. 73–652, 1973.Google Scholar