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针对目前二次抛物线形断面渠道临界水深与共轭水深计算过程及表达式复杂的问题,推导了抛物线形渠道临界水深的通用直接计算公式,进而推求出二次抛物线形渠道共轭水深的隐性关系式,再采用Matlab仿真平台对抛物线形渠道的共轭水深的高次隐函数方程以实例进行了编程求解。为验证该方法的可靠性与准确性,同时将隐函数方程变形为收敛的迭代公式,通过临界水深选出迭代初值对共轭水深进行迭代求解。对比结果表明,Matlab软件编程法简捷、精确、便于实际应用。
Aiming at the problems of computational complexity and complex expression of critical depth and conjugate water depth of parabolic cross-section channels, a general direct calculation formula of critical depth of parabolic channel is deduced, and then the recessiveness of conjugate water depth of quadratic parabola channel is deduced Relation, and then using Matlab simulation platform for parabolic channel conjugate water depth of higher order implicit function equations by example programming solution. In order to verify the reliability and accuracy of the proposed method, the implicit function equation is transformed into a convergent iterative formula, and the iterative initial value is selected through the critical depth to iteratively solve the conjugate water depth. The comparison results show that the Matlab software programming method is simple, accurate and practical.