圆弧底渠道水力最佳断面计算

The Problem of the Best Hydraulic Cross Section in Cannal with Radial Bed

根据多元函数微分学理论分析研究了圆弧底渠道水力最佳断面问题，推导得到的结果表明，其极值条件仅与半弦长、弦至水面间的距离ｈ１、边坡系数ｍ有关，且其相互间的关系由公式：ｂｍ－ｈ１＝０唯一确定。从而，水力最佳断面可一次性设计完成。

According to the theoretical analysis of the multi-element function by the differential calculus,the conclusion has been deduced.It showed that its extrene value condition was only related to the .semi -chord length,the distance between chord to water surface h1 and the side slope. Its interreaction was determined only by following equation: bm-h1 =0 thereby, the best hydraulic cross section design could be completed only once time.