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研究生:李宗恆
研究生(外文):Zong-Heng Li
論文名稱:平面紊亂射流與反向非線性前進重力波及海流作用後之速度與溫度分佈之研究
論文名稱(外文):Velocity and temperature distributions of turbulent plane jet interaction with the nonlinear oppositive progressive gravity wave and ocean current
指導教授:陳陽益陳陽益引用關係
指導教授(外文):Yang-Yih Chen
學位類別:碩士
校院名稱:國立中山大學
系所名稱:海洋環境及工程學系研究所
學門:工程學門
學類:環境工程學類
論文種類:學術論文
論文出版年:2011
畢業學年度:99
語文別:中文
論文頁數:84
中文關鍵詞:反向非線性波反向均勻流虛源點速度與溫度分佈平面紊亂射流
外文關鍵詞:plane jetcounter flownon-linearity wavevelocity distributionspotential core
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本文主要應用於解析溫排水對周遭水體傳輸力學變化機制,考慮平面紊亂射流受反向非線性波與均勻穩定流之作用後,於波浪週期平均的穩定狀態下,將波浪與海流交會後之動量視為一外力項,並導入平面紊亂射流之運動方程式中,依動量守衡,及引入輻射應力(radiation stress),藉此運動特性可以了解平面射流與波浪及海流作用後,於任意斷面中心軸處之動量交互作用關係,進而解析出射流在與波浪及海流作用後之流場,其於波浪週期平均下和隨波浪相位起伏之週期性變化情形及相關的物理特性。
平面紊亂射流與反向波及反向流交會作用後,其流場中之振幅函數有一臨界位置存在,在此位置處振幅函數 會趨近無限大, 為對應於波浪尖銳度之階次化參數;而對波浪週期平均時間下之中心軸速 與其速度分佈 在此臨界位置時趨近於零,此乃因純平面紊亂射流的動量被反向波與反向流之週期平均動量所壓迫,使得射流體無法穿越此位置之故,在此位置後之流場近無射流的作用量。由既有實驗得知在此臨界位置前之流場的流速與溫度分佈皆為高斯分佈,當較小反向波時,則反向均勻流對於平面紊亂射流之動量壓迫越明顯,尤其在相對水深 較深時更甚之;本研究之理論解亦包含平面紊亂射流與反向均勻流之互制行為,使用均方根誤差法(MSE)比較其離散程度顯示理論值與既有的實驗值頗為符合,並得到平面射流隨反向流流速變動之速度分佈係數,平面紊亂射流較大的反向流作用後會有較強的紊流,紊流產生的捲增效造成 變動,且虛源點位置 會隨著反向流流速增加而向內縮。平面射流遭受反向波浪作用後週期平均速度分佈型態與均勻水流者無所改變,並由分析結果得知射流與微小反向流作用後之速度與溫度分佈係數變化亦不大。
The variation of velocity and temperature distribution in arbitrary profile along the centerline in turbulent which encounters non-linearity regular progressive gravity wave and steady uniform flow right in front are investigated analytically and verified by existing experiments. Firstly, the action of periodic waves and current are incorporated into the equation of motion as an external force and applied radiation stress for evaluating the velocity distribution over arbitrary lateral cross section. Based on the momentum exchange after the interaction between turbulent plane jet and oppositive non-linearity wave and uniform flow, the physical characteristics of jet-wave and current are able to be determined theoretically.
Secondly, there are critical sections in both velocity and temperature transport processes when the turbulent plane jet influenced by wave and current motion. Fluctuating function will be close to infinity, is the order of wave sharpness; Average velocity for every wave period along the centerline approach to zero, That’s thanks to the momentum of plane jet is extruded by the momentum of wave and current, Beyond the critical section, characteristics of the jet is no longer existing, such phenomena mean that only the wave and current dominating. Velocity and temperature distribution in the zone of flow developed are Gaussian curve, as has been measured in experiment. The momentum extrusion of counter flow in jet is significant in the deep water and small wave; The velocity distribution coefficient is changing with the increasing of counter flow velocity, owing to the entrainment effect, and the potential core will reducing with the increasing of counter flow velocity.


論文審定書……………………………………………………………………………... .
誌謝………………………………………………………………………….……….… I
中文摘要……………………………………………………………………....…….......II
英文摘要………………………………………..…………………………………….. III
第 一 章 緒論………………………………………………….………………………1
1.1研究目的………………………………………………..…………………..…1
1.2流場特性概述……………………………………………..……………..……2
1.3文獻回顧…………………………………………………………………..…..4
1.4本文組織……………………………………………………………………....6
第 二 章 平面紊亂射流基本理論與流場基本假設………..…………………..….....8
2.1平面紊亂射流基本理論……...………………………………………...…......8
2.2動量積分方程式……...……………………………………..………………...9
2.3流場之基本假設……...………………………………………………….......10
第 三 章 平面紊亂射流受反向非線性波與均勻流交會作用後之速度分佈解析...13
第 四 章 溫度分佈之理論..............................................……………………….……42
第 五 章 驗證比較與特性描述................................……………….………..............49
5.1實驗驗證................................……………………..........................................49
5.2理論驗證檢核........................……………………..........................................53
5.3特性描述........................………………………..............................................55
第 六 章 結論與建議................………………………...............................................66
6.1結論...............………………………...............................................................66
6.2建議...............………………………...............................................................69
參考文獻……………………………...…………………………….…...……………..70

參考文獻
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