罗索夫斯基弯道环流公式的统一

Generality of the Rozovskii's formulas on circulation at river bends

在弯道环流理论和工程应用研究中,罗索夫斯基公式具有重要意义,但对于光滑和粗糙床面,该公式分别用两个式子来表示,通用性不强,且卡门常数取值0 5也显得不合理。对此进行了分析,并针对公式推导中存在的问题,采用底床不可滑动条件,对公式重新进行了推导,得到了统一的弯道环流流速垂线分布公式,同时得到了统一的水面横比降表达式。通过对光滑和粗糙床面条件下弯道环流实验资料的验证,并和原罗索夫斯基公式及修正式比较,结果表明得到的公式不仅与实际值最为符合,而且适合不同粗糙度的床面,是计算弯道环流流速垂线分布的通用公式。

In the research and applications of bend circulation theories, the Rozovskii's formulas are very important, but the universality of these formulas is weak, because there are two different formulas for smooth and rough bed surface respectively Besides, it is unreasonable to take 05 as the Karman's constant in these formulas In consideration of the above problems in the derivation of the Rozovskii's formulas, the general formula of circulation velocity profile and the general formula of the cross surface slope are derived by use of the nonsliding condition at the bottom in this paper Comparison of verification of the experimental data with smooth and rough bed surface respectively with the Rozovskii's formulas shows that this general formula fits in best with reality and holds true for bed surfaces of different roughnesses. Thus it is a general formula for computating the circulation velocity profile at river bends