Please use this identifier to cite or link to this item: http://hdl.handle.net/11455/16496
標題: Study on the characteristics of bottom boundary layer flow induced by a solitary wave propagating over a sloping bottom
孤立波於斜坡淺化過程之底床邊界層 流場特性探討
作者: 余旻軒
Yu, Min-Shiuan
關鍵字: solitary wave
孤立波
出版社: 土木工程學系所
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摘要: 本研究係應用具備高時間解析之PIV速度量測系統,探討孤立波於1:10斜坡上淺化過程之底部邊界層流場特性。由實驗量測結果可知,底部邊界層之速度分佈,可利用孤立波波峰通過的時間作為一區分,依照波峰通過前與通過後之速度剖面分佈的特性,將分別進行相似性分析。在孤立波之波峰通過前之底部速度剖面可用雙曲線正切函數(hyperbolic tangent)進行相似性分析。而在特徵長度尺度的選取上除了使用邊界層厚度,另外還嘗試使用位移厚度、動量厚度與能量厚度作為特徵長度尺度,以勢能區速度(up)作為特徵速度尺度,其相關係數均為0.970。於孤立波之波峰通過後,則使用雙曲線正切函數與餘弦函數的組合,進行相似性分析。並以半寬度(bm)當作特徵長度尺度,勢能區的速度up與最大負速度um之差值當作特徵速度尺度,最後無因次分析後可得一相似曲線,其相關係數為0.996。
The characteristics of bottom boundary layer flow induced by a solitary wave on 1:10 sloping bottom is experimentally investigated using the time-resolved particle image velocimetry (PIV). The velocity distribution of boundary layer can be classified into two parts for similarity analysis.Before the passing of wave crest of the solitary wave, a regression curve which consists of a hyperbolic tangent function was used to fit the velocity profiles. Corresponding characteristic values were calculated by this fitting curve. These characteristic values were used to conduct similarity analysis. Boundary layer, displacement layer momentum layer and energy layer were tried to be various length scales; and potential velocity (up) was selected as a velocity scale. Finally, four similarity curves could be obtained and all of the correlation coefficients are 0.970.After the passing of wave crest of the solitary wave, a regression curve combining both hyperbolic tangent function and cosine function was used to fit the velocity profiles. This study tried to select the subtraction of the potential velocity (up) minus the minimum velocity (um) as a velocity scale, and the half-velocity-defect (bm) as a length scale. Finally a similarity curve could be obtained for phases after the passing of wave crest and its correlation coefficients is 0.996.
URI: http://hdl.handle.net/11455/16496
其他識別: U0005-2208201115493100
文章連結: http://www.airitilibrary.com/Publication/alDetailedMesh1?DocID=U0005-2208201115493100
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