Abstract
The flow field around a circular cylinder mounted vertically on a flat bottom has been investigated experimentally. This type of flow occurs in several technical applications, e.g. local scouring around bridge piers. Hydrogen bubble flow visualization was carried out for Reynolds numbers ranging from 6,600 to 65,000. The main flow characteristic upstream of the cylinder is a system of horse-shoe vortices which are shed quasi-periodically. The number of vortices depends on Reynolds number. The vortex system was found to be independent of the vortices that are shed in the wake of the cylinder. The topology of the separated flow contains several separation and attachment lines which are Reynolds number dependent. In the wake region different flow patterns exist for each constant Reynolds number.
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Abbreviations
- B :
-
width of flume
- b 0 :
-
wake width
- C d :
-
drag coefficient
- C f :
-
coefficient of skin friction
- C p :
-
pressure coefficient
- D :
-
cylinder diameter
- K s :
-
bed roughness
- L E :
-
integral length scale
- Re :
-
Reynolds number based on Ym
- Re (D) :
-
Reynolds number based on D
- Re(l) :
-
Reynolds number based on length
- U :
-
free stream velocity
- Um :
-
mean flow velocity
- U s, max :
-
maximum velocity deficiency
- u :
-
streamwise velocity
- u * :
-
shear velocity
- X, Y, Z :
-
cartesian co-ordinate system measured from the cylinder centre
- X, Y, Z :
-
longitudinal, vertical and lateral directions
- Ym :
-
mean flow depth
- δ :
-
boundary layer thickness
- Γ :
-
circulation
- δ d :
-
displacement thickness
- θ :
-
momentum thickness
- λ f :
-
dissipation length scale
- ν :
-
kinematic viscosity
- Ω :
-
vorticity
- τ :
-
shear stress
References
Belik, L. 1973: The secondary flow about circular cylinder mounted normal to a flat wall. Aeronaut. Q. 24, 47–54
Clauser, F. H. 1954: Turbulent boundary layers in adverse pressure gradient. J. Aeronaut. Sci. 21, 91–108
Dallmann, U. 1983: Topological structure of three-dimensional vortex flow separation. AIAA 16th fluid plasma dyn. conf. Danvers/MA: American Institute of Aeronautics and Astronautics
Dargahi, B. 1983: Local scouring around bridge piers — A review of practice and theory. Hydraulics lab. Bull. No. 114, Stockholm: R. Inst. Tech.
Goldstein, R. J.; Karni, J. 1984: The effect of a wall boundary layer on local mass transfer from a cylinder in crossflow. J. Heat Transfer 106, 260–267
Hinze, J. O. 1975: Turbulence. New York: McGraw-Hill
Hunt, J. C. R.; Abell, C. J.; Peterka, S. A.; Woo, H. 1978: Studies of the flow around free or surface-mounted obstacles; applying topology to flow visualization. J. Fluid Mech. 86, 179–200
Johannson, A. V.; Alfredsson, P. H. 1986: Structure of turbulent channel flows. In: Encyclopedia of fluid mechanics (ed. Cheremisinoff, N. P.) pp. 825–869. Houston, London, Paris, Tokyo: Gulf
Johnston, P. J. 1957: Three-dimensional turbulent boundary layer. Gas Turbine Lab. Report No. 39
Lighthill, M. J. 1963: Introduction. Boundary layer theory. In: Laminar boundary layer (ed. Rosenhead, L. R.) pp. 48–88. Oxford University Press
Ludwieg, H.; Tillmann, W. 1950: Investigations of the wall shearing stress in turbulent boundary layers. NACA TM 1285
Maskell, E. G. 1955: Flow separation in three-dimensions. Royal Aircraft Establishment, Faranborough, Report No. Aero 2565
Melville, B. W. 1975: Local scour at bridge sites. University of Auckland, Report No. 117
Patel, V. C. 1965: Calibration of the Preston tube and limitations on its use in pressure gradients. J. Fluid Mech. 23, 185–208
Perry, A. E. Fairlie, B. D. 1974: Critical points in flow patterns. Advances in geophysics. 18 B. New York: Academic Press
Perry A. E., Steiner, T. R. 1987: Large-scale vortex structures in turbulent wakes behind bluff bodies. Part 1. Vortex formation processes. J. Fluid Mech. 174, 233–270
Preston, J. H. 1954: The determination of turbulent skin friction by means of pilot tubes. J. Roy. Aeronaut. Soc. 58, 109–121
Roper, A. T. 1967: A cylinder in a shear flow. Colorado State University
Roshko, A. 1953: On the development of turbulent wakes from vortex streets. NACA TN 2913
Schraub, F. A.; Kline, S. J.; Henry, J.; Runstadler, P. W.; Littel, A. 1965: Use of hydrogen bubbles for quantitative determination of time-dependent velocity fields in low-speed water flows. J. Basic Eng. 87, 429–444
Schwind, R. G. 1962: The three dimensional boundary layer near a strut. Gas Turbine Laboratory, Report No. 67
Smith, D. W.; Walker, J. E. 1958: Skin-friction measurements in incompressible flow. NACA TN 4231
Tobak, M.; Peake, D. J. 1982: Topology of three-dimensional separated flow. Annu. Rev. Fluid Mech. 14, 51–85
Wei, T.; Smith, C. R. 1986: Secondary vortices in the wake of circular cylinders. J. Fluid Mech. 169, 513–533
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Dargahi, B. The turbulent flow field around a circular cylinder. Experiments in Fluids 8, 1–12 (1989). https://doi.org/10.1007/BF00203058
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DOI: https://doi.org/10.1007/BF00203058