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Analysis on Progressive Waves over One Amplitude-two Side Ripple Bottom

ABSTRACT
For the 3-D system of wave motion consisted of a free-surface progressive gravity wave train propagating over a two side ripple bottom , a perturbation expansion procedure is developed to second order. The mechanism and the properity of the induced wave motion by the effect of the ripple bottom on the free-surface progressive gravity waves , including the resonance and non-resonance case , is described. To the induced resonance wave motion to the second order of the solution , the growth of its energy flux with time , and consequently the growth for the transmission speed of its energy flux are vividly demonstrated. Furthermore , the relation between the transmission speed in time and space is also established. Finally , the growth of the induced resonance wave motion with its propagating distance in the region of the ripple bottom located is emphasized. The variation and growth of the whole flow field of the wave motion system in time and space is therefore presented. To ascertain the accuracy and the generality of the analytical result , it was verified not only to by reducing which the solution of the one side wavy bottom, but also conform to the three kinds of the actual physical situation.

Identiferoai:union.ndltd.org:NSYSU/oai:NSYSU:etd-0731100-154646
Date31 July 2000
Creatorskao, Shao-kuo
ContributorsYang Yih Chen
PublisherNSYSU
Source SetsNSYSU Electronic Thesis and Dissertation Archive
LanguageCholon
Detected LanguageEnglish
Typetext
Formatapplication/pdf
Sourcehttp://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0731100-154646
Rightsunrestricted, Copyright information available at source archive

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