本文針對在靜穩大氣下與均勻等深條件下，解析黏性不可壓縮流體中之波與流交互作用之流場進行解析，相較於前人常以邊界層問題處理黏性流場，本文延續陳(1996)的方式，以線性化Navier-Stokes Eqn.解析整個流場。本研究考量自由表面處之壓力、剪力及表面張力等因素，依動力平衡原則，建構自由表面動力邊界條件。底床邊界條件，則分別考慮底床為完全滑動、完全黏著底床狀況及部分滑動的底床狀況，在線性化考量下，本文針對各種底床狀況，可求出一通解。
　　解析結果顯示，隨著底床滑動程度減小，在底床附近之水平流速會由最大遞減至零，則剪力由零遞增至最大。在波流交互作用下，水平流速與剪力在底床附近之垂直分佈，於波峯及波谷處並不對稱，波流同向時波峯處的分佈變化較大，波流反向時則於波谷處的分佈變化較大。水深愈深或波浪週期愈大則超射速度越小；而剪力流愈大超射速度愈大，但對發生位置不會有明顯影響；隨著滑動程度減小，超射速度發生位置呈線性增加，但在fi大於0.2後則不再有明顯變化。

In this paper, the flow field of interaction between wave and current in viscous-incompressible fluid was analyzed in a static and stable atmosphere with homogeneous and isobaric. Based on Chen's study (1996), with free surface dynamical boundary, equilibrium of forces, atmosphere pressure, shear stress and surface tension, solving the viscous flow fluid by boundary layer, which of the determine will continue analyzing by whole flow fluid with Navier-Stokes Equation, and which will find a general solution in three kinds of condition for the bottom: (i) perfect slip (ii) no slip and (iii) partial slip in linearization consideration.
　　The results shows the velocity of flow decrease from maximum to zero in horizontal, and the shear force increase from zero to maximum near the bottom with the decrease of the degree in sliding. In the interaction of flow and wave, the vertical distribution of the velocity and shear force is not symmetric in the wave crest and trough. Particular change will be observation in the wave crest when the wave and current is in the same direction. Otherwise, the change will be also found in the wave trough when the wave and current is in the opposite. The overshoot velocity will be decrease with deeper water or larger period, and generation position will be no obvious effect, even the shear current larger and overshoot velocity faster. With the linear increase of overshoot position by decrease of the sliding, fi will be no obvious change even greater than 0.2.

目錄
論文審定書....................................................................................................................i
誌謝......................................................................................................................ii
中文摘要...................................................................................................................... iii
Abstract........................................................................................................................iv
目錄........................................................................................................................v
圖表目錄....................................................................................................................... vii
符號說明...................................................................................................................ix
第一章 緒論................................................................................................................1
1.1研究目的............................................................................................................1
1.2文獻回顧............................................................................................................2
1.3 本文處理方式........................................................................................................5
1.4 本文組織.....................................................................................................6
第二章 控制方程式及邊界條件.................................................................................7
2.1 流場之基本描述................................................................................................7
2.2 流場之基本控制方程......................................................................................8
2.3 流場之邊界條件.........................................................................................9
第三章 流場之解析..........................................................................................14
3.1 流場機構之描述...............................................................................................14
3.2 完全滑動之底床狀況.......................................................................................15
3.3完全黏著之底床狀況........................................................................................18
3.4非完全滑動亦非完全黏著之底床狀況...........................................................25
第四章 理論之檢核與分析........................................................................................31
4.1 流場解之檢核.................................................................................31
4.2流場的剪力及水平流速分佈.............................................................33
4.3 解析結果與分析.............................................................................36
第五章 結論與建議..................................................................................................51
5.1 結論...............................................................................................51
5.2 建議..............................................................................................52
第六章 參考文獻......................................................................................................53

第五章、參考文獻
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