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TECHNICAL PAPERS

Closely Spaced Circular Cylinders in Cross-Flow and a Universal Wake Number

[+] Author and Article Information
David Sumner

Department of Mechanical Engineering, University of Saskatchewan, 57 Campus Drive, Saskatoon, Saskatchewan, S7N 5A9 Canada

J. Fluids Eng 126(2), 245-249 (May 03, 2004) (5 pages) doi:10.1115/1.1667881 History: Received February 12, 2003; Revised September 30, 2003; Online May 03, 2004
Copyright © 2004 by ASME
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References

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Bearman,  P. W., 1967, “On vortex street wakes,” J. Fluid Mech., 28, pp. 625–641.
Griffin,  O. M., 1981, “Universal similarity in the wakes of stationary and vibrating bluff structures,” ASME J. Fluids Eng., 103, pp. 52–58.
Griffin,  O. M., 1978, “A universal Strouhal number for the ‘locking-on’ of vortex shedding to the vibrations of bluff cylinders,” J. Fluid Mech., 85, pp. 591–606.
Buresti,  G., 1983, “Appraisal of universal wake numbers from data for roughened circular cylinders,” ASME J. Fluids Eng., 105, pp. 464–468.
Adachi,  T., Ozaki,  T., Yamamoto,  T., Eguchi,  Y., Matsuuchi,  K., and Kawai,  T., 1996, “Study of the universal Strouhal number over the wide Reynolds number flow range (effect of surface roughness),” JSME Int. J., 39(2), pp. 335–342.
Adachi,  T., 1997, “Effects of surface roughness on the universal Strouhal number over the wide Reynolds number range,” J. Wind. Eng. Ind. Aerodyn., 69–71, pp. 399–412.
Chen,  J. M., and Fang,  Y.-C., 1996, “Strouhal numbers of inclined flat plates,” J. Wind. Eng. Ind. Aerodyn., 61, pp. 99–112.
Nakamura,  Y., 1996, “Vortex shedding from bluff bodies and a universal Strouhal number,” J. Fluids Struct., 10, pp. 159–171.
Sumner,  D., Wong,  S. S. T., Price,  S. J., and Paı̈doussis,  M. P., 1999, “Fluid behavior of side-by-side circular cylinders in steady cross-flow,” J. Fluids Struct., 13, pp. 309–338.
Sumner,  D., Price,  S. J., and Paı̈doussis,  M. P., 2000, “Flow-pattern identification for two staggered circular cylinders in cross-flow,” J. Fluid Mech., 411, pp. 263–303.
Zdravkovich,,  M. M. and Pridden,  D. L., 1977, “Interference between two circular cylinders; series of unexpected discontinuities,” J. Ind. Aerodyn., 2, pp. 255–270.
Kiya,  M., Arie,  M., Tamura,  H., and Mori,  H., 1980, “Vortex shedding from two circular cylinders in staggered arrangement,” ASME J. Fluids Eng., 102, pp. 166–173.
Sumner, D., and Richards, M. D., 2002, “A closer investigation of the mean aerodynamic forces for two staggered circular cylinders in cross-flow,” Proceedings of the 5th International Symposium on Fluid-Structure Interactions, Aeroelasticity, Flow-Induced Vibration & Noise, New Orleans, USA, Paper No. IMECE2002-32179, New York: ASME.
Sumner,  D., and Richards,  M. D., 2003, “Some vortex-shedding characteristics of the staggered configuration of circular cylinders,” J. Fluids Struct., 17, pp. 345–350.
Akosile,  O. O., and Sumner,  D., 2003, “Staggered circular cylinders immersed in a uniform planar shear flow,” J. Fluids Struct., 18, pp. 613–633.
Ljungkrona,  L., Norberg,  C., and Sundén,  B., 1991, “Free-stream turbulence and tube spacing effects on surface pressure fluctuations for two tubes in an in-line arrangement,” J. Fluids Struct., 5, pp. 701–727.

Figures

Grahic Jump Location
Staggered configuration of two circular cylinders of equal diameter, immersed in a steady mean cross-flow. Included is the force convention for the downstream cylinder.
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Single bluff-body behavior of two closely spaced staggered circular cylinders of equal diameter: (a) tandem, α=0 deg; (b) α=15 deg; (c) α=30 deg; (d) α=60 deg; (e) side-by-side, α=90 deg, R=shear layer reattachment, G=gap flow.
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Schematic of the experimental setup in the wind tunnel
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Experimental data for two closely spaced staggered cylinders, Re=5×104: (a) mean lift coefficient, uncertainty ±2%; (b) mean drag coefficient, uncertainty ±2%; (c) mean base pressure coefficient, uncertainty ±1%; (d) Strouhal number, uncertainty ±4% ▪, P/D=1.125; □, P/D=1.25; -----, single cylinder.
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Universal wake number data for two closely spaced staggered cylinders, Re=5×104: (a) Strouhal number, uncertainty ±4%; (b) universal Strouhal number, uncertainty ±4%; (c) Griffin number, uncertainty ±4%. □, Upstream cylinder data only; ▵, downstream cylinder data only; •, data for both cylinders together; -----, single cylinder.

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