| Second-Order Solutions for Random Interfacial Waves Under Steady Uniform Currents |
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| 作者姓名： | 宋金宝 |
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| 作者单位： | Institute of |
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| 基金项目： | NationalScienceFundforDistinguishedYoungScholars(No.40425015)andthecooperativeprojectofChineseAcademySciencesandtheChinaNationalOffshoreOilCorporation. |
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| 摘 要： | 1.Introduction Owingtothesimilaritiesbetweenthesurfacewaveandtheinterfacialwave,itisnaturaltoapply themethodsdevelopedforsurfacewavestothestudyofinterfacialwavesasreviewedbyUmeyama (1998;2000).Recently,Song(2004)derivedsecond ordersolutionsforrandominterfacialwavesat aconstantdepthinatwo layerfluidsystemwitharigidlidusinganexpansiontechnique,analogousto thatusedbyLonguet Higgins(1963)andSharmaandDean(1979),tostudyrandomsurfacewaves. Inthispaper,Song’sresultsareextendedtoamoregeneralcaseoft…
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Second-Order Solutions for Random Interfacial Waves Under Steady Uniform Currents |
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| Abstract: | In the present research, the study of Song (2004) for random interfacial waves in two-layer fluid is extended to the case of fluids moving at different steady uniform speeds. The equations describing the random displacements of the density interface and the associated velocity potentials in two-layer fluid are solved to the second order, and the wave-wave interactions of the wave components and the interactions between the waves and currents are described. As expected, the extended solutions include those obtained by Song (2004) as one special case where the steady uniform currents of the two fluids are taken as zero, and the solutions reduce to those derived by Sharma and Dean (1979) for random surface waves if the density of the upper fluid and the current of the lower fluid are both taken as zero. |
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| Keywords: | two-layer fluid uniform current random interfacial waves second-order solutions |
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