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Force on a circular cylinder in viscous oscillatory flow at low Keulegan—Carpenter numbers

  • Turgut Sarpkaya (a1)
Abstract

This paper presents the in-line force coefficients for circular cylinders in planar oscillatory flows of small amplitude. The results are compared with the theoretical predictions of Stokes (1851) and Wang (1968). For two-dimensional, attached- and laminar-flow conditions the data are, as expected, in good agreement with the Stokes–Wang analysis. The oscillatory viscous flow becomes unstable to axially periodic vortices above a critical Keulegan–Carpenter number K (K = Um T/D, Um = the maximum velocity in a cycle, T = the period of flow oscillation, and D = the diameter of the circular cylinder) for a given β (β = Re/K = D2/vT, Re = Um D/v, and v = the kinematic viscosity of fluid) as shown experimentally by Honji (1981) and theoretically by Hall (1984). The present investigation has shown that the Keulegan—Carpenter number at which the drag coefficient Cd deviates rather abruptly from the Stokes—Wang prediction nearly corresponds to the critical K at which the vortical instability occurs.

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Bearman, P. W. 1985 Vortex trajectories in oscillating flow. In Proc. of Separated Flow Around Marine Structures, Trondheim, Norway, pp. 133–153 The Norwegian Institute of Technology, Trondheim, Norway.
Bearman, P. W., Downie, M. J., Graham, J. M. R. & Obasaju, E. D. 1985 Forces on cylinders in viscous oscillatory flow at low Keulegan—Carpenter numbers. J. Fluid Mech. 154, 337356.
Bearmanv, 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 Hydrodynamics in Ocean Engng, Trondheim, Norway, August, pp. 621–635.
Hall, P. 1984 On the stability of unsteady boundary layer on a cylinder oscillating transversely in a viscous fluid. J. Fluid Mech. 146, 347367.
Honji, H. 1981 Streaked flow around an oscillating circular cylinder. J. Fluid Mech. 107, 509520.
Keulegan, G. H. & Carpenter, L. H. 1958 Forces on cylinders and plates in an oscillating fluid. J. Res. Nat. Bur. Standards 60, 423440.
Morison, J. R., O'Brien, M. P., Johnson, J. W. & Schaaf, S. A. 1950 The force exerted by surface waves on piles. Petroleum Trans. 189, 149157.
Rosenhead, L. (ed.) 1963 Laminar Boundary Layers. Clarendon.
Sarpkaya, T. 1976 Vortex shedding and resistance in harmonic flow about smooth and rough circular cylinders at high Reynolds numbers. Tech. Rep. No. NPS-59SL76021, Naval Postgraduate School, Monterey, CA.
Sarpkaya, T. 1977 In-line and transverse forces on cylinders in oscillatory flow at High Reynolds numbers. J. Ship Res. 21, 200216.
Sarpkaya, T. 1985 Past progress and outstanding problems in time-dependent flows about ocean structures. In Proc. of Separated Flow Around Marine Structures, Trondheim, Norway, pp. 1–36. The Norwegian Institute of Technology, Trondheim, Norway.
Sarpkaya, T. & Isaacson, M. 1981 Mechanics of Wave Forces on Offshore Structures. New York: Van Nostrand Reinhold.
Stokes, G. G. 1851 On the effect of the internal friction of fluids on the motion of pendulums. Trans. Camb. Phil. Soc. 9, 8106.
Wang, C.-Y. 1968 On high-frequency oscillating viscous flows. J. Fluid Mech. 32, 5568.
Williamson, C. H. K. 1985 Sinusoidal flow relative to circular cylinders. J. Fluid Mech. 155, 141174.
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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
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