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An inviscid bluff-body wake model which includes the far-wake displacement effect

Published online by Cambridge University Press:  12 April 2006

Masaru Kiya  and
Mikio Arie
Masaru Kiya
Affiliation:
Faculty of Engineering, Hokkaido University, Sapporo, 060 Japan
Mikio Arie
Affiliation:
Faculty of Engineering, Hokkaido University, Sapporo, 060 Japan
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Abstract

This paper presents an inviscid bluff-body wake model which correctly takes into account the displacement effect of the far wake by means of an appropriate source–sink system located behind the body. The separating streamlines, which in previous inviscid wake models have been regarded as the time-averaged shear layers emanating from the separation points within a small distance downstream of the body, can be interpreted as the displacement surface of the wake throughout the whole region of flow behind the body. The solutions for a normal flat plate, a circular cylinder and a 90° wedge are worked out and compared with experiments, where possible. The theoretical pressure distributions agree fairly well with the experimental ones. The shape of the separating streamlines obtained from the present theory is physically reasonable and compares well with experimental results for a normal plate and a 90° wedge.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 81 , Issue 3 , 13 July 1977 , pp. 593 - 607
Copyright
© 1977 Cambridge University Press

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References

Arie, M. & Rouse, H. 1956 Experiments on two-dimensional flow over a normal wall. J. Fluid Mech. 1, 129.Google Scholar
Batchelor, G. K. 1967 An Introduction to Fluid Dynamics. Cambridge University Press.
Bearman, P. W. 1968 The flow around a circular cylinder in the critical Reynolds number regime. Nat. Phys. Lab. Aero. Rep. no. 1257.Google Scholar
Bearman, P. W. & Fackrell, J. E. 1975 Calculation of two-dimensional and axisymmetric bluff-body potential flow. J. Fluid Mech. 72, 229.Google Scholar
Bradbury, L. J. S. 1976 Measurements with a pulsed-wire and a hot-wire anemometer in the highly turbulent wake of a normal flat plate. J. Fluid Mech. 77, 473.Google Scholar
Fage, A. & Johansen, F. C. 1927 On the flow of air behind an inclined flat plate of infinite span. Proc. Roy. Soc. A 116, 170.Google Scholar
Igarashi, T. 1975 Flow and heat transfer around a circular cylinder with slit. [In Japanese]. Japan Soc. Mech. Engrs Preprint no. 750–20, p. 145.Google Scholar
Pankhurst, R. C. & Holder, D. W. 1952 Wind-Tunnel Technique. An Account of Experimental Methods in Low- and High-Speed Wind Tunnels. Pitman.
Parkinson, G. V. & Jandali, T. 1970 A wake source model for bluff body potential flow. J. Fluid Mech. 40, 577.Google Scholar
Roshko, A. 1954 A new hodograph for free streamline theory. N.A.C.A. Tech. Note no. 3168.Google Scholar
Roshko, A. 1961 Experiments on the flow past a circular cylinder at very high Reynolds number. J. Fluid Mech. 10, 346.Google Scholar
Woods, L. C. 1955 Two-dimensional flow of a compressible fluid past given curved obstacles with infinite wakes. Proc. Roy. Soc. A 227, 367.Google Scholar
Woods, L. C. 1961 The Theory of Subsonic Plane Flow. Cambridge University Press.
Wu, T. Y. 1962 A wake model for free-streamline flow theory. Part 1. Fully and partially developed wake flows past an oblique flat plate. J. Fluid Mech. 13, 161.CrossRefGoogle Scholar
Wu, T. Y. 1972 Cavity and wake flows. Ann. Rev. Fluid Mech. 4, 243.Google Scholar