## Proceedings of the ... International Conference on Offshore Mechanics and Arctic Engineering, Volumes 1-2American Society of Mechanical Engineers, 1991 - Arctic regions |

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Page 74

In the present model an integrated boundary

the time varying shear stresses and the movement of the discrete vortices

between the first grid point and the surface of the cylinders . 8 is the thickness of

the ...

In the present model an integrated boundary

**layer**model is used for determiningthe time varying shear stresses and the movement of the discrete vortices

between the first grid point and the surface of the cylinders . 8 is the thickness of

the ...

Page 75

Hydraulic Rough Boundary

velocity profile is described by : vin , 11 +1 ) ( 21 ) V = Vilni y 30 +1 ] kg ( 15 ) к

which is a good approximation to the velocity profile through all of the boundary

Hydraulic Rough Boundary

**Layer**In the case of the rough boundary**layer**thevelocity profile is described by : vin , 11 +1 ) ( 21 ) V = Vilni y 30 +1 ] kg ( 15 ) к

which is a good approximation to the velocity profile through all of the boundary

**layer**...Page 76

By integration of Eq . over the boundary

rotation in the boundary

of vorticity boundary

and ...

By integration of Eq . over the boundary

**layer**it is found that the total amount ofrotation in the boundary

**layer**is : 018 ) - ** wdy = -v , ( 24 ) in the 6 The total fluxof vorticity boundary

**layer**is given by : v ? vwdy ý V , dt ( 25 ) - From Egs . ( 24 )and ...

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### Contents

CONTENTS | 131 |

High Frequency Hydrodynamic Damping of a TLP | 147 |

A Comparison of Results | 153 |

Copyright | |

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acceleration added amplitude analysis angle applied approach approximately assumed body boundary cable calculated coefficients compared components computed considered constant coordinate corresponding cylinder damping depth determined developed diffraction direction displacement distribution domain drag drift dynamic effect element Engineering equation estimated experimental experiments expressed field Figure floating flow fluid force free surface frequency function given height hydrodynamic included increase integral length lift force linear load mass maximum mean measured Mechanics method mode mooring motion natural nonlinear obtained Offshore operation oscillation period phase pile platform position potential predicted present pressure problem production range ratio relative represents respectively response second-order separation ship shown shows simulation solution stiffness structure surface surge Table Technology tension tests theory values velocity vertical vessel wave