Hostname: page-component-76fb5796d-x4r87 Total loading time: 0 Render date: 2024-04-29T09:13:01.382Z Has data issue: false hasContentIssue false

Vortex shedding from a rectangular prism and a circular cylinder placed vertically in a turbulent boundary layer

Published online by Cambridge University Press:  20 April 2006

Hiroshi Sakamoto
Affiliation:
Department of Mechanical Engineering, Kitami Institute of Technology, Kitami, 090, Japan
Mikio Arie
Affiliation:
Hokkaido University, Sapporo, 060, Japan

Abstract

Measurements of the vortex-shedding frequency behind a vertical rectangular prism and a vertical circular cylinder attached to a plane wall are correlated with the characteristics of the smooth-wall turbulent boundary layer in which they are immersed. Experimental data were collected to investigate the effects of (i) the aspect ratio of these bodies and (ii) the boundary-layer characteristics on the vortex-shedding frequency. The Strouhal number for the rectangular prism and the circular cylinder, defined by S = fcw/U0 and fcd/U0 respectively, was found to be expressed by a power function of the aspect ratio h/w (or h/d). Here fc is the vortex-shedding frequency, U0 is the free-stream velocity, h is the height, w is the width and d is the diameter. As the aspect ratio is reduced, the type of vortex shedding behind each of the two bodies was found to change from the Karman-type vortex to the arch-type vortex at the aspect ratio of 2·0 for the rectangular prism and 2·5 for the circular cylinder.

Type
Research Article
Copyright
© 1983 Cambridge University Press

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

Baker, C. J. 1979 The laminar horseshoe vortex J. Fluid Mech. 95, 347.Google Scholar
Bearman, P. W. & Zdravkovich, M. M. 1978 Flow around a circular cylinder near a plane boundary J. Fluid Mech. 89, 33.Google Scholar
Castro, I. & Robins, A. 1977 The flow around a surface-mounted cube in uniform and turbulent streams J. Fluid Mech. 79, 307.Google Scholar
Coles, D. 1956 The law of the wake in the turbulent boundary layer J. Fluid Mech. 1, 191.Google Scholar
Furuya, Y. & Miyata, M. 1972 Visual studies on the wake of a roughness element proximate to a wall Mem. Fac. Engng, Nagoya Univ. 24, 278.Google Scholar
Hunt, J. C. R., Abell, C. J., Peterka, J. A. & Woo, H. 1978 Kinematical studies of the flows around free or surface-mounted obstacles; applying topology to flow visualization J. Fluid Mech. 86, 179.Google Scholar
Kamei, E. 1976 Vortex shedding from a long cylinder of square cross section (in Japanese). Preprint of JSAE no. 2168, 771.Google Scholar
Klebanoff, P. S. & Diehl, Z. W. 1952 Some features of artifically thickened fully developed turbulent boundary layer with zero pressure gradient. NACA Tech. Rep. no. 1110.Google Scholar
Mochizuki, M. 1961 Smoke observations on boundary layer transition caused by a spherical roughness element J. Phys. Soc. Japan 16, 995.Google Scholar
Nishioka, M. & Sato, H. 1978 Mechanism determination of the shedding frequency of vortices behind a cylinder at lower Reynolds numbers. J. Fluid Mech. 89, 49.Google Scholar
Norman, R. S. 1975 Visualization of local fields using scale models. In Proc. 2nd U.S. Nat. Conf. Wind Engng Res. Fort Collins, p. iv-3-1.
Okamoto, T. & Yagita, M. 1973 The experimental investigation on the flow past a circular cylinder of finite length placed normal to the plane surface in a uniform stream Bull. J.S.M.E. 16, 805.Google Scholar
Okamoto, M., Yagita, M. & Kataoka, S. 1977 Flow past cone on flat plate Bull. J.S.M.E. 20, 329.Google Scholar
Taneda, S. 1959 Downstream development of the wakes behind cylinders J. Phys. Soc. Japan, 14, 843.Google Scholar
Taneda, S. 1963 The stability of two-dimensional laminar wakes at low Reynolds number J. Phys. Soc. Japan 18, 288.Google Scholar
Torii, K. 1977 Flow visualization by smoke-wire technique. In Proc. Int. Symp. Flow Visualization, Tokyo, p. 175.
Vickery, B. J. 1968 Load fluctuations in turbulent flow. Proc. A.S.C.E.: J. Engng Mech. Div. 1, 31.Google Scholar