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Oseen velocity distributions in the wake of a flat plate

Published online by Cambridge University Press:  19 April 2006

Tosio Miyagi  and
Michio Nishioka
Tosio Miyagi
Affiliation:
College of Engineering, University of Osaka Prefecture, Sakai, Japan
Michio Nishioka
Affiliation:
College of Engineering, University of Osaka Prefecture, Sakai, Japan
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Abstract

To account for our previous experimental results, the flow past a flat plate set parallel to a uniform stream is investigated on the basis of Oseen's equations of motion. We are mainly concerned with the wake region and calculate the velocity field in detail for the range of Reynolds numbers 20–3000, corresponding to the experiments. The calculation shows that there is a velocity overshoot in the velocity distribution near the trailing edge, with the same magnitude as in the experiments. Furthermore, we confirm the experimental fact that the velocity on the centre-line of wake recovers in proportion to the square root of the distance from the trailing edge in the near wake. The pressure field is also examined to see the streamwise pressure gradient in the near wake.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 97 , Issue 1 , 11 March 1980 , pp. 145 - 155
Copyright
© 1980 Cambridge University Press

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References

Bairstow, L., Cave, B. M. & Lang, E. D. 1923 Phil. Trans. Roy. Soc. A 223, 383.
Goldstein, S. 1930 Proc. Camb. Phil. Soc. 26, 1.
Goldstein, S. 1933 Proc. Roy. Soc. A 142, 546.
Mattingly, G. E. & Criminale, W. O. 1972 J. Fluid Mech. 51, 233.
Miyagi, T. 1964 J. Phys. Soc. Japan 19, 1063.
Miyagi, T. 1968 J. Phys. Soc. Japan 24, 204.
Miyagi, T. 1974 J. Phys. Soc. Japan 1699.
Nishioka, M. & Miyagi, T. 1978 J. Fluid Mech. 84, 705.
Oseen, C. W. 1927 Hydrodynamik. Leipzig: Akademische.
Piercy, N. A. V. & Winny, H. F. 1933 Proc. Roy. Soc. A 140, 543.
Schneider, L. I. & Denny, V. E. 1971 A.I.A.A. J. 9, 655.
Seebass, R., Tamada, K. & Miyagi, T. 1966 Phys. Fluids 9, 1697.
Stewartson, K. 1974 Adv. Appl. Mech. 14, 145.
Talke, F. E. & Berger, S. A. 1970 J. Fluid Mech. 40, 161.