OTEC cold water pipe design for problems caused by vortex-excited oscillations

Abstract Vortex-excited oscillations of marine structures result in reduced fatigue life, large hydrodynamic forces and induced stresses, and sometimes lead to structural damage and to destructive failures. The cold water pipe of an Ocean Thermal Energy Conversion (OTEC) plant is nominally a bluff, flexible cylinder with a large aspect ratio ( L / D = length/diameter), and is likely to be susceptible to resonant vortex-excited oscillations. The objective of this paper is to survey recent results pertaining to the vortex-excited oscillations of structures in general and to consider the application of these findings to the design of the OTEC cold water pipe. Practical design calculations are given as examples throughout the various sections of the report. This paper is limited in scope to the problems of vortex shedding from bluff, flexible structures in steady currents and the resulting vortex-excited oscillations. The effects of flow non-uniformities, surface roughness of the cylinder, and inclination to the incident flow are considered in addition to the case of a smooth cylinder in a uniform stream. Emphasis is placed upon design procedures, hydrodynamic coefficients applicable in practice, and the specification of structural response parameters relevant to the OTEC cold water pipe. There are important problems associated with the shedding of vortices from cylinders in waves and from the combined action of waves and currents, but these complex fluid/structure interactions are not considered in this paper.

[1]  O. M. Griffin,et al.  A model for the vortex-excited resonant response of bluff cylinders , 1973 .

[2]  Robert Grant,et al.  Riser Fairing For Reduced Drag And Vortex Supression , 1977 .

[3]  W. Iwan The Vortex Induced Oscillation of Elastic Structural Elements , 1975 .

[4]  Robert M. Sexton,et al.  Random Wave and Vessel Motion Effects on Drilling Riser Dynamics , 1976 .

[5]  R. Blevins,et al.  A Model for Vortex Induced Oscillation of Structures , 1974 .

[6]  O. M. Griffin,et al.  The Effects of Vortex Coherence, Spacing, and Circulation on the Flow-Induced Forces on Vibrating Cables and Bluff Structures. , 1976 .

[7]  T. Sarpkaya Vortex-Induced Oscillations: A Selective Review , 1979 .

[8]  F. Joseph Fischer,et al.  Current-Induced Oscillations of Cognac Piles During Installation — Prediction and Measurement , 1980 .

[9]  Owen M. Griffin A universal Strouhal number for the ‘locking-on’ of vortex shedding to the vibrations of bluff cylinders , 1978 .

[10]  G. H. Koopmann,et al.  The vortex wakes of vibrating cylinders at low Reynolds numbers , 1967, Journal of Fluid Mechanics.

[11]  I. G. Currie,et al.  Pressure-fluctuation measurements on an oscillating circular cylinder , 1979, Journal of Fluid Mechanics.

[12]  R. King,et al.  Wake interaction experiments with two flexible circular cylinders in flowing water , 1976 .

[13]  Peter Stansby,et al.  The locking-on of vortex shedding due to the cross-stream vibration of circular cylinders in uniform and shear flows , 1976, Journal of Fluid Mechanics.

[14]  R. Clough,et al.  Dynamics Of Structures , 1975 .

[15]  S. S. Chen Crossflow-induced vibrations of heat exchanger tube banks , 1978 .

[16]  G. Koopmann,et al.  The vortex-excited resonant vibrations of circular cylinders , 1973 .

[17]  Owen M. Griffin,et al.  Vortex shedding from a cylinder vibrating in line with an incident uniform flow , 1976, Journal of Fluid Mechanics.

[18]  T. N. Gardner,et al.  Dynamic Analysis of Risers and Caissons by the Element Method , 1976 .

[19]  G. Koopmann,et al.  The vortex-excited lift and reaction forces on resonantly vibrating cylinders , 1977 .

[20]  L Warner,et al.  OSCILLATION OF PILES IN MARINE STRUCTURES , 1972 .

[21]  George J. O'Hara,et al.  THE STATIC EQUILIBRIUM CONFIGURATION OF CABLE ARRAYS BY USE OF THE METHOD OF IMAGINARY REACTIONS. , 1969 .

[22]  Kenny C. S Kwok,et al.  CROSS-WIND RESPONSE OF STRUCTURES DUE TO DISPLACEMENT DEPENDENT LOCK-IN EXCITATION , 1980 .

[23]  E. Széchényi Supercritical Reynolds number simulation for two-dimensional flow over circular cylinders , 1975, Journal of Fluid Mechanics.

[24]  J. R. Fowler,et al.  Dynamic Analysis as an Aid to the Design of Marine Risers , 1978 .

[25]  Owen M. Griffin,et al.  Velocity Correlation and Vortex Spacing in the Wake of a Vibrating Cable , 1976 .

[26]  B E Hafen,et al.  Cable Strumming Suppression , 1977 .

[27]  Richard A. Skop,et al.  Guyed Towers Under Arbitrary Loads , 1980 .

[28]  Roger King,et al.  A review of vortex shedding research and its application , 1977 .

[29]  R. Skop,et al.  On a theory for the vortex-excited oscillations of flexible cylindrical structures , 1975 .

[30]  O. M. Griffin,et al.  Vortex-Excited Cross-Flow Vibrations of a Single Cylindrical Tube , 1980 .

[31]  D. Hove,et al.  Hydrodynamic design loads for the OTEC cold water pipe , 1978 .

[32]  M. P. Païdoussis,et al.  On ovalling oscillations of cylindrical shells in cross-flow , 1979 .

[33]  W. D. Iwan,et al.  The Natural Frequencies and Mode Shapes of Cables With Attached Masses , 1981 .

[34]  R. D. Blevins,et al.  Fluid Forces Induced by Vortex Shedding , 1976 .

[35]  R. Skop,et al.  Strumming Predictions For The Seacon Ii Experimental Mooring , 1977 .

[36]  M. J. Prosser,et al.  On vortex excitation of model piles in water , 1973 .

[37]  R. Skop,et al.  The vortex-induced oscillations of structures , 1976 .