长江科学院院报
長江科學院院報
장강과학원원보
Journal of Yangtze River Scientific Research Institute
2015年
10期
47-52
,共6页
代述兵%刘韩生%简跃%杨吉健%卞晓卫
代述兵%劉韓生%簡躍%楊吉健%卞曉衛
대술병%류한생%간약%양길건%변효위
X 型宽尾墩%水跃方程%水力计算%共轭水深比%索风营水电站
X 型寬尾墩%水躍方程%水力計算%共軛水深比%索風營水電站
X 형관미돈%수약방정%수력계산%공액수심비%색풍영수전참
X-shape flaring gate pier%hydraulic jump equation%hydraulic calculation%conjugate water depth ratio%Suofengying hydropower station
由于 X 型宽尾墩的特殊性,将 X 型宽尾墩缺口内与缺口以上水流分为2股,并利用动量方程推导得到 X 型宽尾墩的水跃方程,并将其进行等价数学变换简化计算得到共轭水深比η,而后可得到跃后水深。以索风营、沙陀工程不同工况为例,计算出相应参数,代入简化水跃方程并计算出了共轭水深比η,最后计算得到的跃后水深,并与试验值进行误差分析,结果表明最大相对误差仅为-5.11%。该公式推导正确,理论可靠,计算便捷,首次从理论上提出了一套 X 型宽尾墩的水力计算方法,为工程设计和科学研究提供理论支撑。
由于 X 型寬尾墩的特殊性,將 X 型寬尾墩缺口內與缺口以上水流分為2股,併利用動量方程推導得到 X 型寬尾墩的水躍方程,併將其進行等價數學變換簡化計算得到共軛水深比η,而後可得到躍後水深。以索風營、沙陀工程不同工況為例,計算齣相應參數,代入簡化水躍方程併計算齣瞭共軛水深比η,最後計算得到的躍後水深,併與試驗值進行誤差分析,結果錶明最大相對誤差僅為-5.11%。該公式推導正確,理論可靠,計算便捷,首次從理論上提齣瞭一套 X 型寬尾墩的水力計算方法,為工程設計和科學研究提供理論支撐。
유우 X 형관미돈적특수성,장 X 형관미돈결구내여결구이상수류분위2고,병이용동량방정추도득도 X 형관미돈적수약방정,병장기진행등개수학변환간화계산득도공액수심비η,이후가득도약후수심。이색풍영、사타공정불동공황위례,계산출상응삼수,대입간화수약방정병계산출료공액수심비η,최후계산득도적약후수심,병여시험치진행오차분석,결과표명최대상대오차부위-5.11%。해공식추도정학,이론가고,계산편첩,수차종이론상제출료일투 X 형관미돈적수력계산방법,위공정설계화과학연구제공이론지탱。
A set of theoretic hydraulic calculation method for X-shape flaring gate is presented for the first time to provide theoretical support for engineering design and scientific research.The water of X-shape flaring gate is divid-ed into two parts:the water in the notch and the water above the notch.Through momentum equation,the hydraulic jump equation is derived and is converted mathematically in equivalence and simplified to get the conjugate depth ratio η,and then the depth after the jump is obtained.As an illustration,the measured data of Suofengying project and Shatuo project are taken to calculate corresponding parameters,which are subsequently put into the simplified water jump equation to calculate the conjugate depth ratio η.Finally,the maximum relative error between the cal-culated water depth after the jump and the test value is only -5.11%,indicating that the equation is convenient and is derived correctly and reliably.