Hostname: page-component-745bb68f8f-l4dxg Total loading time: 0 Render date: 2025-01-09T22:10:13.192Z Has data issue: false hasContentIssue false
  • English
  • Français

Phenomena of vortex shedding and flow interference of three cylinders in different equilateral arrangements

Published online by Cambridge University Press:  21 April 2006

K. Lam  and
W. C. Cheung
K. Lam
Affiliation:
Department of Mechanical and Marine Engineering, Hong Kong Polytechnic. Hong Kong
W. C. Cheung
Affiliation:
Department of Mechanical and Marine Engineering, Hong Kong Polytechnic. Hong Kong
Get access Rights & Permissions [Opens in a new window]

Abstract

This paper describes how the flows around three equal circular cylinders arranged in an equilateral-triangular manner interact at different angles of incidence α and spacing ratios l/d. Some vortex-shedding-frequency data evaluated from flow visualization experiments conducted at Reynolds numbers of 2.1 × 103 and 3.5 × 103, based on the diameter of a single cylinder, using a dye -injection technique, are presented. In order to provide additional insight to the understanding of the flow structure around this particular cylinder array, some photographs indicating the typical flow patterns for various arrangements are also presented. The investigation indicates that the flows interact in a complex fashion for spacing ratios smaller than 2.29 and it also reveals that, at this range of spacing ratios and at α = 0°, bistable flow characteristic exists. Moreover, for l/d approximately smaller than 4.65 there always exists an angle at which the vortex shedding behind an upstream cylinder is suppressed by a nearest downstream cylinder. This angle is found not to remain constant but increases as the spacing ratio increases. For illustration and comparisons, some numerical results obtained from the application of the surface-vorticity method have also been presented.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 196 , November 1988 , pp. 1 - 26
Copyright
© 1988 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

Barnes, F. H., Baxendale, A. J. & Grant, I. 1986 A lock-in effect in the flow over two cylinders. Aero. J. April, 128-138.Google Scholar
Baxendale, A. J., Grant, I. & Barnes, F. H. 1985 The flow past two cylinders having different diameters. Aero. J. April, 125-134.Google Scholar
Bearman, P. W. & Wadcock, A. J. 1973 The interaction between a pair of circular cylinders normal to a stream. J. Fluid Mech. 61, 499–511.Google Scholar
Blevins, R. D. 1977 Flow-induced Vibration. Van Nostrand Reinhold.
Bokaian, A. & Geoola, F. 1984 Vortex shedding from two interfering circular cylinders. J. Engng Mech. ASCE 110, 632–628.Google Scholar
Chorin, A. J. 1973 Numerical study of slightly viscous flow. J. Fluid Mech. 57, 785–796.Google Scholar
Hill, R. S., Shim, K. C. & Lewis, R. I. 1986 Sources of excitation in tube banks due to vortex shedding. Proc. Instn Mech. Engrs. 200, C4, 293–301.Google Scholar
Igarashi, T. 1981 Characteristics of flow around two circular cylinders arranged in tandem. JSME 24, 323–331.Google Scholar
Igarashi, T. & Suzuki, K. 1984 Characteristics of the flow around three circular cylinders arranged in-line. JSME 27, 2397–2404.Google Scholar
King, R. & Johns, D. J. 1976 Wake interaction experiments with two flexible circular cylinders in flowing water. J. Sound Vib. 45, 259–283.Google Scholar
Kiya, M., Arie, M., Tamura, H. & Mori, H. 1980 Vortex shedding from two circular cylinders in staggered arrangement. Trans. ASME I: J. Fluids Engng 102, 166–173Google Scholar
Lakshmana Gowda, B. H. & Prabhu, D. R. 1987 Interference effects on the flow-induced vibrations of a circular cylinder. J. Sound Vib. 112, 487–502.Google Scholar
Lam, K. 1987 Potential flow calculation by surface vorticity method and computer graphics. Computer & Graphics 11, 35–47.Google Scholar
Lam, K. & Chu, K. H. 1986 Construction and performance of a recirculating water-tunnel system. Internal Rep. MME-T-6. Dept. of Mech. and Marine Engng, Hong Kong Polytechnic. March.Google Scholar
Lewis, R. I. 1981 Surface vorticity modelling of separated flows from two-dimensional bluff bodies of arbitrary shape. J. Mech. Engng Sci. 23, 1–12.Google Scholar
Lewis, R. I. & Porthouse, D. T. C. 1983 Numerical simulation of stalling flows by an integral equation method. In Viscous Effects in Turbomachines, Copenhagen, June, AGARD-CCP-351.
Martensen, E. 1959 Die Barechnung der Druckvertilungau dicken gitterprofilen mit hilfe von Fredholmschen integral-gleichungen. Arch. Rat. Mech. Anal. 3, 235–237.Google Scholar
Novak, J. 1974 Strouhal number of a quadrangular prism, angle iron and circular cylinders arranged in tandem. Acta Tech., Czech. Acad. Sci. 3, 361–373.Google Scholar
PaiUdoussis, M. P. 1979 Flow-induced vibrations in nuclear reactors and heat exchangers, practical experiences and state of knowledge. In Practical Experiences with Flow Induced Vibrations (ed. E. Naudaschar & D. Rockwell), pp. 1–80, Springer.
PaiUdoussis, M. P., Mavriplis, D. & Price, S. J. 1984 A potential-flow theory for the dynamics of cylinder arrays in cross-flow. J. Fluid Mech. 146, 227–252.Google Scholar
Porthouse, D. T. C. & Lewis, R.-I. 1981 Simulation of viscous diffusion for extension of the surface vorticity method to boundary layer and separated flows. J. Mech. Engng Sci. 23, 157–167.Google Scholar
Price, S. J. & PaiUdoussis, M. P. 1984 The aerodynamic forces acting on groups of two or three circular cylinders when subjected to a cross flow. J. Wind Eng. Indust. Aero. 17, 329–347.Google Scholar
Sarpkaya, T. & Schoaff, R. L. 1979 Inviscid model of two-dimensional vortex shedding by a circular cylinder. AIAA J. 17, 1193–1200.Google Scholar
Sayers, A. T. 1987 Flow interference between three equispaced cylinders when subjected to a cross flow. J. Winds. Engng Ind. Aero. 26, 1–19.Google Scholar
Stansby, P. K. 1977 An inviscid model of vortex shedding from a circular cylinder in steady and oscillatory far flows. Proc. Instn Civ. Engrs 63, 865–880.Google Scholar
Thomas, D. G. & Kraus, K. A. 1964 Interaction of vortex streets. J. Appl. Phys. 35, 3458–3459.Google Scholar
Triantafyllou, G. S., Triantafyllou, M. S. & Chryssostomidis, C. 1986 On the formation of vortex streets behind stationary cylinders. J. Fluid Mech. 170, 461–477.Google Scholar
Williamson, C. H. K. 1985 Evolution of a single wake behind a pair of bluff bodies. J. Fluid Mech. 159, 1–18.Google Scholar
Zdravkovich, M. M. 1968 Smoke observation of the wake of a group of three cylinders at low Reynolds number. J. Fluid Mech. 32, 339–351.Google Scholar
Zdravkovich, M. M. 1977a Review of flow interference between two circular cylinders in various arrangement. Trans. ASME I: J. Fluids Engng 99, 618–633Google Scholar
Zdravkovich, M. M. 1977b Interference between two circular cylinders, series of unexpected discontinuities. J. Indust. Aerodyn. 2, 255–270.Google Scholar
Zdravkovich, M. M. 1985 Flow induced oscillations of two interfering circular cylinders. J. Sound Vib. 101, 511–521.Google Scholar
Zdravkovich, M. M. 1987 The effects of interference between circular cylinders in cross flow. J. Fluids Structures 1, 235–261.Google Scholar