## Proceedings of the ... International Conference on Offshore Mechanics and Arctic Engineering, Volumes 1-2American Society of Mechanical Engineers, 1990 - Arctic regions |

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Page 173

In presenting the associated

superscript k , and the overbar , are deliberately omitted since the

equation is equally applicable to each unknown velocity potential . In the outer

domain ...

In presenting the associated

**integral**equation , below , the subscript D and thesuperscript k , and the overbar , are deliberately omitted since the

**integral**equation is equally applicable to each unknown velocity potential . In the outer

domain ...

Page 184

The asymptotic forms of the potentials may now be substituted into the free -

surface

The remaining r - integrand may be integrated explicitly in terms of Fresnel sine

and ...

The asymptotic forms of the potentials may now be substituted into the free -

surface

**integral**in Eq . 20 for r > R and the 0 - integrations evaluated analytically .The remaining r - integrand may be integrated explicitly in terms of Fresnel sine

and ...

Page 208

... can be obtained by taking the limit of The singularities in the integrand are just

the same as those in the two - dimensional problem . We can then regard that the

poles of the integrand locate at + ( k + 186 ) , tik ; 3 = 1,2 , ... ) . The

... can be obtained by taking the limit of The singularities in the integrand are just

the same as those in the two - dimensional problem . We can then regard that the

poles of the integrand locate at + ( k + 186 ) , tik ; 3 = 1,2 , ... ) . The

**integral**( 17 ) ...### What people are saying - Write a review

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### Contents

HYDRODYNAMIC FORCES | 47 |

The Force Coefficients on Inclined Cylinder in Random Wave and Current | 57 |

K S Varyani | 79 |

Copyright | |

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### Common terms and phrases

acting added mass amplitude analysis angle applied array assumed body boundary calculated circular coefficient compared component considered constant corresponding crest cylinder damping defined dependent depth determined direction distribution domain drag drift dynamic effect element Engineering equation estimated experimental experiments expressed Figure flow fluid forward speed frequency function given heave horizontal hydrodynamic increase integral irregular length lift force linear load maximum mean measured method mooring motion nonlinear obtained Offshore oscillation parameters period phase pile plate potential predicted present pressure problem radiation range ratio reference regular waves relative respectively response riser ship shown shown in Figure simulation solution spectra spectrum structure surface surge Table theory velocity vertical vessel wave force wave height wind