Hostname: page-component-7479d7b7d-pfhbr Total loading time: 0 Render date: 2024-07-08T23:48:53.893Z Has data issue: false hasContentIssue false
  • English
  • Français

Effect of a plane boundary on oscillatory flow around a circular cylinder

Published online by Cambridge University Press:  26 April 2006

B. M. Sumer ,
B. L. Jensen  and
J. Fredsøe
B. M. Sumer
Affiliation:
Technical University of Denmark, Institute of Hydrodynamics and Hydraulic Engineering, 2800 Lyngby, Denmark
B. L. Jensen
Affiliation:
Technical University of Denmark, Institute of Hydrodynamics and Hydraulic Engineering, 2800 Lyngby, Denmark
J. Fredsøe
Affiliation:
Technical University of Denmark, Institute of Hydrodynamics and Hydraulic Engineering, 2800 Lyngby, Denmark
Get access Rights & Permissions [Opens in a new window]

Abstract

This study deals with the flow around a circular cylinder placed near a plane wall and exposed to an oscillatory flow. The study comprises instantaneous pressure distribution measurements around the cylinder at high Reynolds numbers (mostly at Re ∼ 105) and a flow visualization study of vortex motions at relatively smaller Reynolds numbers (Re ∼ 103–104). The range of the gap-to-diameter ratio is from 0 to 2 for the pressure measurements and from 0 to 25 for the flow visualization experiments. The range of the Keulegan–Carpenter number KC is from 4 to 65 for the pressure measurements and from 0 to 60 for the flow visualization tests. The details of vortex motions around the cylinder are identified for specific values of the gap-to-diameter ratio and for the KC regimes known from research on wall-free cylinders. The findings of the flow visualization study are used to interpret the variations in pressure with time around the pipe. The results indicate that the flow pattern and the pressure distribution change significantly because of the close proximity of the boundary where the symmetry in the formation of vortices breaks down, and also the characteristic transverse vortex street observed for wall-free cylinders for 7 < KC < 13 disappears. The results further indicate that the vortex shedding persists for smaller and smaller values of the gap-to-diameter ratio, as KC is decreased. The Strouhal frequency increases with decreasing gap-to-diameter ratio. The increase in the Strouhal frequency with respect to its wall-free-cylinder value can be as much as 50% when the cylinder is placed very close to the wall with a gap-to-diameter ratio of O(0.1).

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 225 , April 1991 , pp. 271 - 300
Copyright
© 1991 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

Ali, N. & Narayanan, R., 1986 Forces on cylinders oscillating near a plane boundary. In Proc. 5th Intl Offshore Mechanics & Arctic Engineering (OMAE) Symp., Tokyo, Japan, vol. in, pp. 613–619.Google Scholar
Bagnold, R. A.: 1974 Fluid forces on a body in shear-flow; experimental use of “stationary” flow. Proc. R. Soc. Lond. A 340, 147–171.Google Scholar
Bearman, P. W.: 1985 Vortex trajectories in oscillatory flow. In Proc. Intl Symp. on Separated Flow Around Marine Structures, June 26–28, p. 133. The Norwegian Inst. of Technology, Trondheim, Norway.
Bearman, P. W. & Graham, J. M. R. 1979 Hydrodynamic forces on cylindrical bodies in oscillatory flow. In Proc. 2nd Intl Conf. on the Behaviour of Offshore Structures, London.Google Scholar
Bearman, P. W., Graham, J. M. R., Naylor, P. & Obasaju, E. D., 1981 The role of vortices in oscillatory flow about bluff cylinders. In Proc. Intl Symp. on Hydrodyn. in Ocean Engr, Trondheim, Norway.Google Scholar
Bearman, P. W., Graham, J. M. R. & Singh, S. 1979 Forces on cylinders in harmonically oscillating flow. In Mechanics of Wave Induced Forces on Cylinders (ed. T. L. Shaw). Pitman.
Bearman, P. W. & Zdravkovich, M. M., 1978 Flow around a circular cylinder near a plane boundary. J. Fluid Mech. 89, 33–48.Google Scholar
Brown, R. J.: 1967 Hydrodynamic forces on a submarine pipeline. J. Pipeline Div. ASCE 93, 9–19.Google Scholar
Fredsoe, J. & Hansen, E. A., 1987 Lift forces on pipelines in steady flow. J. Waterway, Port, Coastal Ocean Engng Div. ASCE 113, 139–155.Google Scholar
Göktun, S.: 1975 The drag and lift characteristic of a cylinder placed near a plane surface. M. Sc. thesis, Naval Post graduate School, Monterey, California.
Grass, A. J. & Kemp, P. H., 1979 Flow visualization studies of oscillatory flow past smooth and rough circular cylinders. In Mechanics of Wave-Induced Forces on Cylinders (ed. T. L. Shaw). Pitman.
Grass, A. J., Raven, P. W. J., Stuart, R. J. & Bray, J. A., 1984 The influence of boundary layer velocity gradients and bed proximity on vortex shedding from free spanning pipelines. Trans. ASME J. Energy Resour. Tech. 106, 70–78.Google Scholar
Jacobsen, V., Bryndum, M. B. & Fredsøe, J. 1984 Determination of flow kinematics close to marine pipelines and their use in stability calculations. In Proc. 16th Annual Offshore Technology Conf. Paper OTC 4833.Google Scholar
Jensen, B. L., Sumer, B. M. & Fredøe, J. 1989 Turbulent oscillatory boundary layers at high Reynolds numbers. J. Fluid Mech. 206, 265–297.Google Scholar
Justesen, P., Hansen, E. A., Fredsøe, J., Bryndum, M. B. & Jacobsen, V., 1987 Forces on and flow around near-bed pipelines in waves and current. In Proc. 6th Intl Offshore Mechanics and Arctic Engineering Symp. Houston, Texas, March 1–6, vol. II, pp. 131–138. ASME.
Lundgren, H., Mathiesen, B. & Gravesen, H., 1976 Wave loads on pipelines on the seafloor. In Proc. 1st Intl Conf. on the Behaviour of Off-Shore Structures (BOSS 76), vol. I, pp. 236–247.Google Scholar
Maull, D. J. & Milliner, M. G., 1978 Sinusoidal flow past a circular cylinder. Coastal Engng 2, 149–168.Google Scholar
Milne-Thompson, L. M.: 1962 Theoretical Hydrodynamics. Macmillan.
Raven, P. W. C., Stuart, R. J. & Littlejohns, P. S., 1985 Full-scale dynamic esting of submarine pipeline spans. 17th Annual OTC in Houston, Texas, May 6–9, Paper 5005.Google Scholar
Roshko, A., Steinolfson, A. & Chattoorgoon, V., 1975 Flow forces on a cylinder near a wall or near another cylinder. In Proc. 2nd US Conf. Wind Engrg Res., Fort Collins, Paper IV-15.Google Scholar
Sarpkaya, T. 1976a Forces on cylinders near a plane boundary in a sinusoidally oscillating fluid. Trans. ASME J. Fluids Engng 98, 499–505.Google Scholar
Sarpkaya, T.: 1976b In-line and transverse forces on smooth and sand-roughened cylinders in oscillatory flow at high Reynolds numbers. Naval Postgraduate School, Monterey, California, Tech. Rep. NPS-69SL76062.Google Scholar
Sarpkaya, T.: 1977 In-line and transverse forces on cylinders near a wall in oscillatory flow at high Reynolds numbers. In Proc. 9th Annual Offshore Technology Conf., Paper OTC 2898.Google Scholar
Sarpkaya, T.: 1987 Oscillating flow over bluff bodies in a U-shaped water tunnel. AGARD Conf. Proc., 413, Aerodynamic and Related Hydrodynamic Studies Using Water Facilities, pp. 6–1.Google Scholar
Sarpkaya, T. & Isaacson, M., 1981 Mechanics of Wave Forces on Offshore Structures. Van Nostrand Reinhold Company.
Sarpkaya, T. & Rajabi, F., 1979 Hydrodynamic drag on bottom-mounted smooth and rough cylinders in periodic flow. In Proc. 11th Annual Offshore Technology Conf., Paper OTC 3761.Google Scholar
Singh, S.: 1979 Forces on bodies in oscillatory flow. Ph.D. thesis, University of London.
Sumer, B. M. & Fredsoe, J., 1990 Scour below pipelines in waves. J. Waterway, Port, Coastal Ocean Engng Div. ASCE 116, 307–323.Google Scholar
Taneda, S.: 1964 Experimental investigation of the wall effect on a cylindrical obstacle moving in a viscous fluid at low Reynolds numbers, J. Phys. Soc. Japan 19, 1024–1030.Google Scholar
Taneda, S.: 1965 Experimental investigation of vortex streets. J. Phys. Soc. Japan 20, 1714–1721.Google Scholar
Williamson, C. H. K.: 1985 Sinusoidal flow relative to circular cylinders. J. Fluid Mech. 155, 141–174.Google Scholar
Wright, J. C. & Yamamoto, T., 1979 Wave forces on cylinders near plane boundaries. J. Waterway, Port, Coastal Ocean Engng Div. ASCE 105, 1–14.Google Scholar
Yamamoto, T., Nath, J. H. & Slotta, L. S., 1974 Wave forces on cylinders near plane boundary. J. Waterway, Port, Coastal Ocean Engng Div. ASCE 100, 345–360.Google Scholar