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Forces on cylinders in viscous oscillatory flow at low Keulegan-Carpenter numbers

  • P. W. Bearman (a1), M. J. Downie (a1), J. M. R. Graham (a1) and E. D. Obasaju (a1)

Abstract

This paper presents a comparison between theory and experiment for the in-line forces on cylinders of general cross-section in planar oscillatory flows of small amplitude. The theoretical analysis evaluates corrections to the standard inviscid inertial force at low Keulegan-Carpenter numbers which arise from the presence of viscous laminar boundary layers and from the development of vortex shedding. The boundary-layer contribution due to both skin friction and displacement effects is calculated to first order in the Stokes parameter β−½. The contribution to the in-line force from separation and vortex shedding, for which the results presented only apply to sharp-edged bodies, is taken from previous work on vortex shedding from isolated edges using the discrete vortex modelling technique. The resulting force has components both in phase with the fluid acceleration (inertia) and in phase with the velocity (drag).

The theoretical results are compared to measurements taken in a [xcup ]-tube water channel on a number of cylinders of different cross-section including circular cylinders and sharp-edged sections. The comparisons suggest that the theory is valid for Keulegan–Carpenter numbers below about 3 and for moderately high values of the β parameter.

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Batchelor, G. K. 1967 An Introduction to Fluid Dynamics. Cambridge University Press.
Bearman, P. W. & Graham, J. M. R. 1979 Forces on cylinders in harmonically oscillating flow. In Proc. 2nd Intl Conf. on Behaviour of Off-Shore Structures, London, pp. 309322. B.H.R.A. Fluid Engineering, Cranfield, UK.
Bearman, P. W., Graham, J. M. R., Naylor, P. & Obasaju, E. 1981 The role of vortices in oscillatory flow about bluff cylinders. In Proc. Intl Symp. on Hydrodynamics in Ocean Engng, Trondheim, Norway, August, pp. 621635. Norwegian Hydrodynamic Laboratories, Trondheim, Norway.
Drossopoulos, G. M. 1980 On the effects of corner radius on cylindrical bodies in sinusoidally oscillating flow. MSc thesis, University of London.
Graham, J. M. R. 1980 The forces on sharp-edged cylinders in oscillatory flow at low Keulegan-Carpenter numbers. J. Fluid Mech. 97, 331346.
Graham, J. M. R. 1981 Viscous effects on cylinders at low Keulegan-Carpenter numbers. London Centre for Marine Technology Fluid Loading Report FL32.
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), pp. 437449. Pitman.
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. & Schaf, S. A.1950 The force exerted by surface waves on piles. Petroleum Trans. 189, 149157.
Sarpkaya, T. 1976 Vortex shedding and resistance in harmonic flow about smooth and rough circular cylinders at high Reynolds numbers. Tech. Report No. NPS-59SL76021, Naval Postgraduate School, Monterey, CA.
Sarpkaya, T. 1981 A critical assessment of Morison's equation. In Proc. Intl Symp. on Hydrodynamics in Ocean Engng, Trondheim, Norway, August, pp. 447467. Norwegian Hydrodynamic Laboratories, Trondheim, Norway.
Sarpkaya, T. & Isaacson, M. 1981 Mechanics of Wave Forces on Offshore Structures. New York: Van Nostrand Reinhold.
Singh, S. 1979 Forces on bodies in oscillatory flow. Ph.D. thesis, University of London.
Stokes, G. G. 1851 On the effect of the internal friction of fluids on the motion of pendulums. Trans. Camb. Phil. Soc. 9, 8106.
Stuart, J. T. 1963 Unsteady boundary layers. In Laminar Boundary Layers (ed. L. Rosenhead). Clarendon.
Stuart, J. T. & Woodgate, L. 1955 Experimental determination of the aerodynamic damping on a vibrating circular cylinder. Phil. Mag. 46 (7), 40–46.
Wang, C.-Y. 1968 On high-frequency oscillating viscous flows. J. Fluid Mech. 32, 5568.
Williamson, C. H. K. 1982 Cylinders in unsteady flow. PhD. Thesis. Dept. of Engineering. Cambridge University.
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Forces on cylinders in viscous oscillatory flow at low Keulegan-Carpenter numbers

  • P. W. Bearman (a1), M. J. Downie (a1), J. M. R. Graham (a1) and E. D. Obasaju (a1)

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