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Flow past wing-body junctions

Published online by Cambridge University Press:  20 April 2006

F. T. Smith
Affiliation:
Mathematics Department, University College, Gower Street, London, WC1E 6BT
J. Gajjar
Affiliation:
X.M.I. Ltd, Teddington, Middx TW11 0JJ

Abstract

The three-dimensional laminar flow past a junction formed by a thin wing protruding normally from a locally flat body surface is considered for wings of finite span but short or long chord. The Reynolds number is taken to be large. The leading-edge interaction for a long wing has the triple-deck form, with the pressure due to the wing thickness forcing a three-dimensional flow response on the body surface alone. The same interaction describes the flow past an entire short wing. Linearized solutions are presented and discussed for long and short two-dimensional wings and for certain three-dimensional wings of interest. The trailing-edge interaction for a long wing is different, however, in that the three-dimensional motions on the wing and on the body are coupled together and in general the coupling is nonlinear. Linearized properties are retrieved only for reduced chord lengths. The overall flow structure for a long wing is also discussed, including the traditional three-dimensional corner layer, which is shown to have an unusual singular starting form near the leading edge. Qualitative comparisons with experiments are made.

Type
Research Article
Copyright
© 1984 Cambridge University Press

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References

Burggraf, O. R. & Duck, P. W. 1983 In Proc. 2nd Symp. Numer. and Phys. Aspects of Aerodyn. Flows, Long Beach, Calif.
Carrier, G. F., Krook, M. & Pearson, C. E. 1966 Functions of a Complex Variable. McGraw-Hill.
Desai, S. S. & Mangler, K. W. 1974 RAE Tech. Rep. 74062.
East, L. F. & Hoxey, R. P. 1968 RAE Tech. Rep. 68161.
Goldstein, S. 1930 Proc. Camb. Phil. Soc. 26, 1.
Jobe, C. E. & Burggraf, O. R. 1974 Proc. R. Soc. Lond. A 340, 91.
Kitchens, C. W., Gerber, N., Sedney, R. & Bartos, J. M. 1983 AIAA J. 21, 856.
McDonald, H. & Briley, W. R. 1982 In Proc. 1st. Symp. Numer. and Phys. Aspects of Aerodyn. Flows, Long Beach, Calif. Springer.
Mehta, R. D., Shabaka, I. M. M. A. & Bradshaw, P. 1982 In Proc. 1st. Symp. Numer. and Phys. Aspects of Aerodyn. Flows, Long Beach, Calif. Springer.
Mehta, R. D., Shabaka, I. M. M. A., Shibl, A. & Bradshaw, P. 1983 AIAA Paper 83–0378, presented at AIAA 21st Aerosp. Sci. Meeting. Jan. 1983, Reno, Nevada.
Peake, D. J., Galway, R. D. & Rainbird, W. J. 1965 Natl Res. Counc. Can. Aero. Rep. LR-446(NRC 8925).
Rubin, S. G. & Grossman, B. 1971 Q. Appl. Maths 29, 169.
Shabaka, I. M. M. A. & Bradshaw, P. 1981 AIAA J. 19, 131.
Smith, F. T. 1983 Utd Tech. Res. Center, E. Hartford, Conn., Rep. UTRC-83–46.
Smith, F. T., Sykes, R. I. & Brighton, P. W. M. 1977 J. Fluid Mech. 83, 163.
Van Dyke, M. 1964 Perturbation Methods in Fluid Mechanics. Academic.
Zamir, M. 1968 Ph.D. thesis, University of London.
Zhu, Z. 1982 DFVLR Rep. FB 82–29.