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通过对梯形渠道收缩断面能量方程的恒等变形,得到计算收缩水深的无量纲迭代计算公式;并根据收缩断面水力特点,证明了该迭代式的收敛性,同时应用马克劳林级数展开迭代式求出了收缩水深的近似计算值。误差分析及实例计算表明,以此为迭代初值进行两次迭代计算,在工程实用范围内最大相对误差小于0.3%,而且克服了以往查图查表法及试算法的缺点,是一种简捷准确的有效方法。
Based on the constant deformation of the energy equation of the trapezoidal channel, the dimensionless iterative formula for calculating the shrinkage depth is obtained. According to the hydraulic characteristics of the cross section, the convergence of the iterative method is proved. At the same time, The approximate calculated value of shrinkage depth was obtained. Error analysis and example calculation show that the iterative initial value of two iterative calculations, the maximum relative error in the engineering practical range of less than 0.3%, and overcome the shortcomings of the previous look-up table method and test algorithm is a Simple and accurate method of effective.