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

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.