X型宽尾墩水跃方程的计算方法

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。

Method of Calculating the Hydraulic Jump Equation of X-shape Flaring Gate Pier

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.