本文延伸陳 (1980)及Hwung et al. (1981)平面紊亂射流與微小振幅波作用後
速度與溫度分佈之研究，進一步考慮波浪非線性作用之影響，當平面紊亂射流與
二階Stokes 波作用後，於波浪週期時間平均的穩定狀態下；將波浪視為一外力
導入平面紊亂射流之運動方程式中，依射流動量守衡，及引入波浪輻射應力
(radiation stress)，藉此運動特性可以了解在射流與波浪作用後任意斷面中心軸處
之動量交互作用關係；解析出射流在波浪作用後之流場於波浪時間平均下其內之
各種特性的空間變化，以及它們隨波浪位相起伏之時空週期性的變化情況。
受反向非線性前進波之動量作用於平面紊亂射流下，會使流場之流速分佈隨
射流口距離之增長而逐漸下降的速度動量比函數存在，其波浪一階量為α1(x)，
二階量為2α (x)，此比例函數控制流場之速度分佈與溫度分佈之傳輸至臨界位置
止；當相對水深越小或波浪越大(即起始波流速比愈大)時，波浪二階量所生之此
效應影響就愈大，固而會使流場之臨界位置更往內縮；而所對應的流場邊界則愈
往橫側方向擴大。流場之溫度分佈的變化，主要是受到速度分佈的影響，故其中
心軸溫度差[ ]m ΔT 分佈亦與中心軸速度分佈相同。根據實驗及理論得知，平面紊亂
射流受波浪作用後，其週期時間平均之速度與溫度為高斯分佈，黃 et al(1981)
之理論與試驗得平面紊亂射流受微小振幅波作用後之速度分佈係數1 c = 0.105 ，
溫度分佈係數2 c = 0.148 。而本研究之平面紊亂射流受反向非線性波作用與試驗
結果分析得速度分佈係數1 c = 0.124 ，溫度分佈係數2 c = 0.152 。可依各種出水口
流速與波浪週期、相對水深及波浪尖銳度之情形下得其理論解和相對應之邊界
值。
於本文的適足性上的驗證，與實驗驗證比對之MSE 值皆比線性解更趨近試
驗值，經無因次化分係各物理量間的關係後可得知平面紊亂射流受反向二階非線
波作用之影響程度，則可進一步描述流場內的變化情形。

The paper extends the analytical results obtained by Hwung et al.
(1981) and further considers the non-linearity of waves to investigate
variation horizontal velocity, temperature distribution induced by
interaction of 2-D plane jet and waves. On the steady state, the nonlinear
wave is considered as external force in motion equations, the property of
momentum conservation of jet flow, and radiation stress are applied to
analyze the interaction of waves- jet flow in arbitrary profile. The scale
function 1
ε α1(x) , 2
2ε α (x) between the variation function f (x,y) and
velocity distribution can also be obtained. The non-dimensional
theoretical solution is also useful to estimate the relative characteristics in
the physical field. The momentum equation and velocity distribution of
interaction without property of temperature diffusion are employed to
find the temperature distribution for arbitrary sections.
Based on the experiments and theory solution obtained by Hwung et
al. (1981) it is found that time-averaged horizontal velocity and
temperature are Gaussian distribution, the coefficient of horizontal
velocity 1 c , and temperature distribution 2 c are 0.105, 0.148, respectively.
In the present, two coefficients considered as non-linearity of waves
1 c = 0.124 and 2 c = 0.152 are determined. In other words, it is shown that
exact solution and boundary effect included non-linearity of waves is
related to velocity of jet flow, wave periods, relative depth and steepness
of waves respectively.
Comparing with experiments indicated that the analytical solution of
the present for MSE is well confirm the experimental results and better
than linear results obtained by Hwung et al. (1981) The influence due to
interaction of 2-D turbulent jet flow and Stokes waves can be obtained by
using dimension analysis. Moreover, the related properties inside the flow
also can be estimated.

中文摘要……………………………………………………………………………...I
英文摘要…………………….........................................................................Ⅱ
目錄…………………………………………………………………………………III
圖目錄……………………………………………………………………………....IV
符號說明…………………………………………………………………………...VII
第一章 緒論……………………………………………………………………….. 1
1-1 研究目的……………………………………………………………… 1
1-2 流場特性描述………………………………………………………… 1
1-3 文獻回顧……………………………………………………………… 4
1-4 本文組織架構………………………………………………………….6
第二章 紊亂射流基本理論及流場基本假設………………………………………7
2-1 平面紊亂射流基本理論……………………………………………… 7
2-2 動量積分方程式……………………………………………………… 8
2-3 流場基本假設………………………………………………………… 9
第三章 平面紊亂射流受反向非線性前進波作用後之速度分佈解析…………..12
第四章 溫度分佈之理論…………………………………………………………..37
第五章 理論比較與特性描述……………………………………………………..45
5-1 理論驗證………………………………………………………………45
5-2 特性描述………………………………………………………………56
第六章 結論與建議………………………………………………………………..66
6-1 結論……………………………………………………………………66
6-2 建議……………………………………………………………………67
參考文獻……………………………………………………………………………68

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