Buffeting forces on rigid circular cylinders in cross flows

Experimentally measured steady and unsteady forces induced by a cross flow over a smooth circular cylinder are reported in this paper. The measurements were made in the 0·305 m research water tunnel of the Pennsylvania State University. The parameters examined include the Reynolds number, which was varied over a range of 2 × 10 4 to 2 × 10 6 , free-stream turbulent intensity, integral length scale-to-diameter ratio and active span-to-diameter ratio; however, this paper includes only some of these results. Among the results reported are the complete mean drag data on all the cylinders tested and some fluctuating force data chosen to illustrate the effects of Reynolds number and active span-to-diameter ratio on the measured forces in uniform and turbulent cross flows. From these results, it can be concluded that the unsteady forces bear a functional relation to Reynolds number in the range tested which is very similar to the well-documented behaviour of the mean drag. Thus the effect of free-stream turbulence on both the steady drag forces and the unsteady forces is to shift the transitional region to a lower Reynolds number. Decreasing the active span-to-diameter ratio increases the buffeting lift coefficient at the same Reynolds number. Finally, it is observed that the Strouhal lift signal at transitional Reynolds numbers is no longer quasi-periodic but rather resembles a narrow-band random signal.

[1]  E. F. Relf A.R.C.Sc.,et al.  LIII. On the frequency of the eddies generated by the motion of circular cylinders through a fluid , 1925 .

[2]  E. Achenbach,et al.  Distribution of local pressure and skin friction around a circular cylinder in cross-flow up to Re = 5 × 106 , 1968, Journal of Fluid Mechanics.

[4]  J. Humphreys On a circular cylinder in a steady wind at transition Reynolds numbers , 1960, Journal of Fluid Mechanics.

[5]  A. Richter,et al.  Fluctuating forces on a rigid circular cylinder in confined flow , 1976, Journal of Fluid Mechanics.

[6]  J. Gerrard,et al.  An experimental investigation of the oscillating lift and drag of a circular cylinder shedding turbulent vortices , 1961, Journal of Fluid Mechanics.

[7]  Y. C. Fung,et al.  Fluctuating Lift and Drag Acting on a Cylinder in a Flow at Supercritical Reynolds Numbers , 1960 .

[8]  David Surry,et al.  Some effects of intense turbulence on the aerodynamics of a circular cylinder at subcritical Reynolds number , 1972, Journal of Fluid Mechanics.

[9]  Peter W. Bearman,et al.  On vortex street wakes , 1967, Journal of Fluid Mechanics.

[10]  A. Roshko Experiments on the flow past a circular cylinder at very high Reynolds number , 1961, Journal of Fluid Mechanics.

[11]  J. Batham,et al.  Pressure distributions on circular cylinders at critical Reynolds numbers , 1973, Journal of Fluid Mechanics.

[12]  B. Lee,et al.  Some effects of turbulence scale on the mean forces on a bluff body , 1975 .

[13]  Noel K. Delany,et al.  Low-speed drag of cylinders of various shapes , 1953 .

[14]  H. Saunders Literature Review : RANDOM DATA: ANALYSIS AND MEASUREMENT PROCEDURES J. S. Bendat and A.G. Piersol Wiley-Interscience, New York, N. Y. (1971) , 1974 .

[15]  P.O.A.L. Davies,et al.  An experimental investigation of the unsteady pressure forces on a circular cylinder in a turbulent cross flow , 1975 .

[16]  D. G. Petty,et al.  The effect of turbulence intensity and scale on the flow past square prisms , 1979 .

[17]  Louis Vincent Schmidt Measurements of Fluctuating Air Loads on a Circular Cylinder , 1963 .

[18]  G. W. Jones,et al.  Aerodynamic forces on a stationary and oscillating circular cylinder at high Reynolds numbers , 1969 .

[19]  Richard Evelyn Donohue Bishop,et al.  The lift and drag forces on a circular cylinder in a flowing fluid , 1964, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[20]  C. Wieselsberger,et al.  Ergebnisse der aerodynamischen Versuchsanstalt zu Göttingen , 1921 .

[21]  A. Ramamurthy,et al.  Constrained Flow Past Cavitating Bluff Bodies , 1977 .

[22]  P. Bearman On vortex shedding from a circular cylinder in the critical Reynolds number régime , 1969, Journal of Fluid Mechanics.

[23]  B. J. Vickery Fluctuating lift and drag on a long cylinder of square cross-section in a smooth and in a turbulent stream , 1966, Journal of Fluid Mechanics.