Abstract
The flow structure and loading due to rectilinear oscillations of a circular cylinder in a steady uniform flow are investigated numerically at a fixed Reynolds number R = 855. Numerical results are obtained over broad ranges of two externally specified parameters, i.e. the frequency of forced oscillation f relative to the natural vortex-shedding frequency f o (0.5 ≤ f / f o ≤ 4.0) and the angle of inclination η between oscillation axis and free-stream (η = 30°, 45°, 60°, 75°). The dimensionless oscillation amplitude is fixed at A = 0.26. The method of solution is based on the use of truncated Fourier series representations for the stream function and vorticity in the angular polar coordinate. The Navier- Stokes equations are solved by using finite difference methods, but with the boundary vorticity calculated using integral conditions rather than local finite-difference approximations.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Badr, H.M., and Dennis, S.C.R. (1985). Time-dependent viscous flow past an impulsively started rotating and translating circular cylinder. J. Fluid Mech. 158, 447–488.
Bearman, P.W. (1984). Vortex shedding from oscillating bluff bodies. Ann. Rev. Fluid Mech. 16, 195–222.
Berger, E. and Willie, R. (1972). Periodic flow phenomena. Ann. Rev. Fluid Mech. 4, 313–340.
Blackburn, H.M., and Henderson, R.D. (1999). A study of two-dimensional flow past an oscillating cylinder. J. Fluid Mech. 385, 255–286.
Cetiner, O., and Rockwell, D. (2001). Streamwise oscillatios of a cylinder in a steady current. Part 1. Locked-on states of vortex formation and loading. J. Fluid Mech. 427, 1–28.
Griffin, O.M., and Hall, M.S. (1991). Review — Vortex shedding lock-on and flow control in bluff body wakes. ASME J. Fluids Engng. 113, 526–537.
Nguyen, P., and Kocabiyik, S. (1997). On a translating and transversely oscillating cylinder: Part 1: The effect of the Strouhal number on the hydrodynamic forces and the near-wake structure. Ocean Engng. 24 677–693.
Kocabiyik, S., and Mahfouz, F.M. (2002). Numerical simulation of the flow induced by a circular cylinder subject to forced oscillations. Proceedings of The 3rd International Conference on Engineering Computational Technology,B.H.V. Topping and Z. Bittnar (Editors), Civil-Comp Press, Stirling, Scotland, paper no. 26 1–12.
Kocabiyik, S., and A1-Mdallal, Q. (2003). Numerical simulation of laminar flow past an oscillating circular cylinder. Proceedings of the Eleventh Annual Conference of the Computational Fluid Dynamics Society of Canada — in press.
Ongoren, A., and Rockwell, D. (1988a). Flow structure from an oscillating cylinder: Part 1. Mechanisms of phase shift and recovery in the near wake. J. Fluid Mech. 191 197–223.
Ongoren, A. & Rockwell, D. (1988b).Flow structure from an oscillating cylinder: Part 2. Mode competition in the near-wake. J. Fluid Mech. 191 225–245.
Rockwell, D. (1998). Vortex-body interactions. Ann. Rev. Fluid Mech. 30 199–229.
Sarpkaya, T. (1979). Vortex-Induced Oscillations. A Selective Review. J. Appl. Mech. 46 241–256.
Sumer, B.M., and Freds0e, J. (1997).Hydrodynamics Around Cylindrical Structures. World Scientific.
Williamson, C.H.K., and Roshko, A. (1988). Vortex formation in the wake of an oscillating cylinder, J. Fluids and Structures 2 355–381.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2003 Springer Science+Business Media Dordrecht
About this paper
Cite this paper
Kocabiyik, S., Al-Mdallal, Q. (2003). A Numerical Study on the Rectilinear Oscillations of a Circular Cylinder. In: Benaroya, H., Wei, T.J. (eds) IUTAM Symposium on Integrated Modeling of Fully Coupled Fluid Structure Interactions Using Analysis, Computations and Experiments. Fluid Mechanics and its Applications, vol 75. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-0995-9_11
Download citation
DOI: https://doi.org/10.1007/978-94-007-0995-9_11
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-3762-4
Online ISBN: 978-94-007-0995-9
eBook Packages: Springer Book Archive