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A free-streamline theory for bluff bodies attached to a plane wall

Published online by Cambridge University Press:  29 March 2006

Masaru Kiya  and
Mikio Arie
Masaru Kiya
Affiliation:
Faculty of Engineering, Hokkaido University, Sapporo, Japan
Mikio Arie
Affiliation:
Faculty of Engineering, Hokkaido University, Sapporo, Japan
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Abstract

A free-streamline theory is presented for the separated flow past two-dimensional bluff bodies attached to a long plane wall on which a turbulent boundary layer has developed. The non-uniform velocity profile in the turbulent boundary layer which would be measured if the bluff bodies were absent has been replaced by a hypothetical inviscid parallel shear flow which has a constant vorticity. This model admits analytical solutions and automatically yields closed streamlines in front of the bluff bodies such as the normal plate and the semicircular projection, which are geometrically very similar to observed front separation bubbles. The present theory involves three or four parameters which must be determined on the basis of experimental information, the number of parameters depending upon the shape of bluff bodies. Two typical examples of bluff bodies, i.e. the normal plate and the semicircular projection, are worked out. Pressure distributions around these bodies predicted by the present theory are found to give a good agreement with experimental measurements.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 56 , Issue 2 , 28 November 1972 , pp. 201 - 219
Copyright
© 1972 Cambridge University Press

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References

Acrivos, A., Snowden, D. D., Grove, A. S. & Peterson, E. E. 1965 The steady separated flow past a circular cylinder at large Reynolds numbers. J. Fluid Mech. 21, 737.Google Scholar
Arie, M., Kiya, M., Tamura, H. & Kanayama, Y. 1972 Flow about rectangular cylinders immersed in turbulent boundary layers. To be published.
Fraenkel, L. E. 1961 On corner eddies in plane inviscid shear flow. J. Fluid Mech. 11, 400.Google Scholar
Good, M. C. & Joubert, P. N. 1968 The form drag of two-dimensional bluff-plates immersed in turbulent boundary layers. J. Fluid Mech. 31, 547.Google Scholar
Nishioka, M. & Iida, S. 1972 Separation of turbulent boundary layer: wall pressure distribution near separation point. Bull. J.S.M.E. 15, 1084.Google Scholar
Parkinson, G. V. & Jandali, T. 1970 A wake source model for bluff body potential flow. J. Fluid Mech. 40, 577.Google Scholar
Roshko, A. 1955 On the wake and drag of bluff bodies. J. Aeron. Sci. 22, 124.Google Scholar
Sakamoto, H. & Moriya, M. 1973 Study on the flow around a semicircular cylinder placed on a plane wall. Memoirs of the Kitami Institute of Technology, vol. 4. To be published.
Stratford, B. S. 1959 The prediction of separation of the turbulent boundary layer. J. Fluid Mech. 5, 1.Google Scholar
Townsend, A. A. 1960 The development of turbulent boundary layers with negligible wall stress. J. Fluid Mech. 8, 143.Google Scholar
Townsend, A. A. 1962 The behaviour of a turbulent boundary layer near separation. J. Fluid Mech. 12, 536.Google Scholar
Woods, L. C. 1955 Two-dimensional flow of a compressible fluid past given curved obstacles with wakes. Proc. Roy. Soc. A 227, 367.Google Scholar
Wu, T. Y. 1962 A wake model for free-streamline flow theory. J. Fluid Mech. 13, 161.Google Scholar
Yih, C.-S. 1959 Two solutions for inviscid rotational flow with corner eddies. J. Fluid Mech. 5, 36.Google Scholar