Field experiment on random wave forces acting on vertical cylinders

Abstract The accuracy of the Morison equation for wave forces acting on cylinders was tested by conducting a field experiment at the Natural Ocean Engineering Laboratory (NOEL) using a database of about 69,000 individual wind waves. The test was conducted by comparing two stationary random forces as a function of time: F a ( t ) , the measured wave force, and F c ( t ) , the wave force calculated using the Morison equation. The particle velocity and acceleration components of the Morison equation were obtained using the linear theory of wind-generated waves from the directional wave spectrum obtained by measuring the wave elevation. The inertia coefficient C i n and drag coefficient C d g are given as a function of the Keulegan–Carpenter number K E and Reynolds number R E for K E in (0, 20) and R E in ( 2 ⋅ 10 4 , 2 ⋅ 10 5 ) . The trend of our data was compatible with the asymptotic values of C i n and C d g suggested by Sarpkaya for large values of R E .

[1]  L. E. Borgman Computation of the ocean‐wave forces on inclined cylinders , 1958 .

[2]  Pol D. Spanos,et al.  Computational Stochastic Mechanics , 2011 .

[3]  G. Forristall On the statistical distribution of wave heights in a storm , 1978 .

[4]  Paolo Boccotti A method to obtain the directional wave spectrum , 2004 .

[5]  Leon E. Borgman,et al.  Statistical Models for Ocean Waves and Wave Forces , 1972 .

[6]  M. Longuet-Higgins On the joint distribution of the periods and amplitudes of sea waves , 1975 .

[7]  Julian Wolfram,et al.  On the estimation of Morison force coefficients and their predictive accuracy for very rough circular cylinders , 1999 .

[8]  Willard J. Pierson,et al.  Irregular Wave Forces On A Pile , 1965 .

[9]  J. R. Morison,et al.  The Force Exerted by Surface Waves on Piles , 1950 .

[10]  P. Justesen,et al.  Closure of "Hydrodynamic Forces on Large Cylinders in Oscillatory Flow" , 1989 .

[11]  Paolo Boccotti,et al.  Wave Mechanics for Ocean Engineering , 2011 .

[12]  T. Sarpkaya,et al.  Mechanics of wave forces on offshore structures , 1981 .

[13]  O. M. Phillips,et al.  The Theory of Wind-Generated Waves , 1967 .

[14]  L. Borgman,et al.  Ocean wave simulation for engineering design , 1967 .

[15]  Richard Burrows,et al.  Morison wave force coefficients for application to random seas , 1997 .

[16]  Jørgen Fredsøe,et al.  Hydrodynamics Around Cylindrical Structures , 2006 .

[17]  Turgut Sarpkaya,et al.  In-line and transverse forces on smooth and rough cylinders in oscillatory flow at high Reynolds numbers , 1986 .

[18]  Paolo Boccotti Field Experiment on Random-Wave Forces on Vertical Cylinders. Part I: Possibility of Simulating the Random Process , 2011 .

[19]  Richard Burrows,et al.  The UK Christchurch Bay Compliant Cylinder Project: analysis and interpretation of Morison wave force and response data , 2000 .