本文延伸許弘莒 (1995)潛置浮昇射流受波浪作用之影響研究，進一步探討不同射流口高程所產生之浮昇射流現象。首先假設射流流體在射流口近處已為完全發展之紊流，其速度和密度差異之分佈具有相似性，以高斯分佈近似表示之。本文理論解析此浮昇射流受反向波浪作用，將波浪視為一外力項導入二維浮昇射流之運動方程式中，經由斷面積分法推導，並藉由波浪週期運動特性及動量守恆之原則，導述出流場控制方程式，及由波浪場中輻射應力之觀念，提出所謂動量交互作用方程式，輔助求解之。
經由數值演算可以求出射流完全發展區內波浪週期時間平均之中心軸速度變化、浮昇射流軌跡發展變化；及浮昇射流受反向波浪作用下，波浪週期平均之變動振幅發展變化；與浮昇射流受波浪作用後，邊界變動函數和邊界寬度；及探討不同射流排放口位置高程下，邊界寬度發展亦可一併求出。由結果顯示反向波浪與浮昇射流交會後會有一臨界位置存在，超越此臨界位置則速度與密度差異就隨波浪水粒子往復運動。
根據二維浮昇射流與反向波浪作用之基本力學研究，可知作用後之速度與密度差異分佈型態並無改變，但浮昇射流流場之物理量大小變化與作用之波浪特性及起始福祿數有密切關係。

In order to evaluate the environmental and ecological impact of wastewater effluent discharge on coastal waters, it is important to know the physical changes (velocity, concentration, temperature) induced by these discharges. Most of the early research efforts deal with theoretical or experimental predictions of momentum jets, discharged at arbitrary angles into an infinite ambient through a single, circular, submerged pipe, subjected to buoyancy forces, uniform cross flow and ambient density stratification. In recent years, the number of papers on turbulent jets under water waves have increased due to the many outfalls built in shallow-water regions, where the wave effects become important. The incident waves can affect the hydrodynamics and mixing of turbulent plane jet. Therefore, it is important to develop an analytical formula to be used by industries and regulators for outfall design in the prediction of the jet motion under water. For this reason, this paper proposes to develop an asymptotic solution by the integral method to estimate the velocity distribution and boundary thickness under the interaction between buoyant jet and waves, which these physical characteristics in different water depths.
A new theoretical solution for the dynamic characteristics of a buoyant jet due to oppositive small amplitude waves is presented. The conservation equations of mass and momentum are solved by the integral method which encompasses the Gaussian profiles of velocity. The action of waves is incorporated into the equations of motion as an external force and a new asymptotic solution is obtained to predict the trajectory, velocity distribution and boundary thickness of the buoyant jet over an arbitrary lateral cross section. It is found that the velocity along the centerline is inversely proportional to the ratio of the momentum of the wave and the buoyant jet. The averaged boundary width varies with the fluctuation of the boundary width, the distance from the orifice and the velocity correction function. Due to the motion of waves, the fluctuation of the boundary width is proportional to the wave steepness.

論文審定書
誌謝
中文摘要 I
英文摘要 II
第一章 緒論 1
1-1 研究目的 1
1-2 流場特性概述 1
1-3 文獻回顧 4
1-4 本文組織 8
第二章 浮昇射流基本理論 10
2-1 流場基本假設與運動控制方程式 10
2-2 座標系統及控制方程式之表示 14
2-3 導述出流場主要控制方程式及其意義與目的 21
第三章 波浪作用下二維浮昇射流之速度分佈理論 24
3-1 波浪作用下二維浮昇射流之力學機制 24
3-2 水平動量積分方程式 24
3-3 水平方向速度輔助方程式之決定 35
3-4 垂直方向動量積分方程式 41
第四章 數值方法 50
4-1 數值計算原理 50
第五章 特性描述 55
5-1 結果分析 55
第六章 理論驗證 74
6-1 中洲汙水處理廠簡述 74
6-2 實海域波浪資料 81
6-3 理論驗證 89
第七章 結論與建議 92
7-1 結論 92
7-2 建議 94
參考文獻 96

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