本論文以實驗方式探討斜坡矩形束縮渠道斜震波（Shock waves）與水躍（Hydraulic jumps）之水理特性。另應用二維水流數值模式進行本文斜震波數值模擬及延伸本文實驗條件外之高福祿數斜震波數值模擬。
經由五種渠床坡度搭配四種渠岸束縮角度之斜坡矩形束縮渠道斜震波實驗後，本文根據實驗結果提出下列經驗關係式，包括：斜震波之波角、共軛水深比、無因次交波位置、中心軸水深遞減率、無因次交波波高及渠道中心與渠岸處流量比等。有關模式計算本文斜震波結果顯示：斜震波之交波位置與縱、橫斷面水深，其數值均與實驗結果相近。另囿於實驗之福祿數所限，經延伸應用該模式計算高福祿數斜震波後，可確立經斜震波實驗數據迴歸分析所得之波角、無因次交波位置及無因次交波波高等關係式，在原渠床坡度與渠岸束縮角度條件不變情形下，其適用福祿數範圍從3.51提升至6.06範圍內。
本論文以一維水流連續方程及動量方程建立斜坡矩形束縮渠道水躍共軛渠寬水深比關係式（又稱共軛面積比關係式），經實驗數據驗證後，該式可用以描述水躍之共軛面積比值與修正福祿數關係。經由四種渠床坡度搭配八種渠岸束縮角度之斜坡矩形束縮渠道水躍實驗，本文根據實驗結果提出包括：水躍段沿斜坡之分力修正係數 值及重量修正係數 值隨渠床坡度變化之關係、無因次水躍長度、水躍後前福祿數比、水躍能損及水躍起跳位置關係等經驗式。前述關係式在本文渠床坡度與渠岸束縮角度條件範圍內，可成功用於計算水躍相關水理參數，以利工程設計參考。另本論文亦建立斜坡矩形束縮渠道斜震波轉為水躍之臨界條件關係，藉以判斷渠道內之流況是否為一般正向水躍或為斜震波與水躍共處之過渡流況。

This study mainly aims to deliberate the hydraulic characteristics of shock waves and hydraulic jumps in inclined chute contractions by laboratory experiments. Besides, a two-dimensional numerical model was used to simulate the experimental shock waves of present study and also extended the numerical simulation for higher approach Froude numbers of shock waves.
The experiments on shock waves in chute contractions were conducted by way of five bottom angles and four sidewall deflection angles. According to the experimental results, the empirical relations are proposed in this study for applicability, such as the shock angle, the sequent flow depth ratio on shock front, the dimensionless shockwave position, the decreasing rate of flow depth along chute axis, the dimensionless shockwave height and the discharge ratio of zone I (the area between two sides of shock front) to zone II (the area between shock front and sidewall). Furthermore, the numerical results show that the numerical values on longitudinal and transversal flow profiles are similar to the experimental ones. Moreover, the numerical results also validate the applicability of the proposed empirical relations, such as shock angle, the dimensionless shockwave position, and dimensionless shockwave height by experiments and extend its applicability for lager values of the approach Froude number from 3.51 to 6.06.
The sequent flow area ratio relation for hydraulic jumps in chute contractions is developed with one-dimensional continuity equation and the momentum equation in this study. This developed relation can validate its applicability through verification of experimental data. Besides, some empirical relations are proposed by experiments through the experimental conditions of four bottom angles and eight sidewall deflection angles in this study, such as the empirical correction factors J and K versus bottom angles, the dimensionless hydraulic jump length, the sequent Froude number ratio, the dimensionless hydraulic jump energy loss, and the dimensionless toe location of hydraulic jump. The above-mentioned relations can validate the hydraulic parameters of hydraulic jumps for engineering applications under the experimental conditions of present study. Furthermore, the relation of critical flow condition for shock waves transferring to hydraulic jumps in chute contractions has been proposed as well. This proposed relation could be used for estimation of flow condition.

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