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博碩士論文 etd-0731100-154646 詳細資訊
Title page for etd-0731100-154646
論文名稱
Title
前進波列傳遞於單振幅雙向波形底床上
Analysis on Progressive Waves over One Amplitude-two Side Ripple Bottom
系所名稱
Department
畢業學年期
Year, semester
語文別
Language
學位類別
Degree
頁數
Number of pages
71
研究生
Author
指導教授
Advisor
召集委員
Convenor

口試委員
Advisory Committee
口試日期
Date of Exam
2000-07-27
繳交日期
Date of Submission
2000-07-31
關鍵字
Keywords
起伏底床
ripple bottom
統計
Statistics
本論文已被瀏覽 5655 次,被下載 1092
The thesis/dissertation has been browsed 5655 times, has been downloaded 1092 times.
中文摘要
中文摘要

對於三度空間中,對自由表面規則前進重力波列傳入於同振幅雙向波形的起伏底床上所形成之波動流場,於攝動法之應用下,本研究將以簡單、直接的方式對其展開解析至第二階次量,來闡述其因起伏底床而生的作用效應所導引出的機制與特性,含括非共振之一般情況與共振之奇特情況等所有可能情形。在共振之奇特情況發生下,由論述被導引出的共振波動之能通量隨時間的成長,與能通量之傳輸速率的時空譯動關係,演化出共振波動於起伏底床上隨其傳遞移行的空間距離之成長狀況,因此,共振時之整個波動流場隨時空成長的結構與變動情況由之被描述。而檢核本文結果的適足性上,除說明其符合三種真實的物理實況外,尚成功的將其退化至二維波形底床的情況,由此印證本文結果的正確性及一般性。
Abstract
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.
目次 Table of Contents
目錄

中文摘要 III
英文摘要 IV
圖表目錄 V
符號說明 VIII
第一章 緒論 1
1.1研究目的 1
1.2文獻回顧與本文之處理分法 2
1.3本文組織 4
第二章 波動系統之描述 5
2.1波動流場之基本控制方程式 5
2.2波動流場之邊界條件 6
第三章 理論解析 9
3.1第一階解 13
3.2第二階解 15
3.2.1非共振之一般情況 19
3.2.2 發生共振之特殊情況 23
3.2.3共振波動之前進成長 29
第四章 驗證與比較及特性描述 33
4.1理論印證 33
4.1.1真實物裡實況之檢核 33
4.1.2簡化成二維之波形底床 41
4.2底床效應之比較 44
4.2.1非共振一般情況時水位脈動的特性 45
4.2.2共振異常情況時水位脈動的特性 58
第五章 結論與建議 63
參考文獻 66
附錄A 68
誌謝及自述
參考文獻 References
參考文獻

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