Incomplete self-similarity analysis of sediment transport capacity
Zhang Ruijin's sediment transport capacity formula has been widely used in sediment engineering.However,there is no effective general method for determining the coefficient and exponent included in Zhang's formula.Based on the dimensional analysis and incomplete self-similarity argument,a theoretical approach for analyzing sediment transport capacity is proposed and further calibrated and illustrated with carefully select-ed laboratory data.The results show that the exponent in Zhang's formula can be expressed as a logarithmic function of V/ω(where V is the average flow velocity,and ω is the settling velocity of sediment particles),while its coefficient is related to V/ω in the form of power law.By considering the effects of V/ω on the coeffi-cient and exponent,the accuracy of sediment transport capacity using the exponential formula is significantly improved,with the prediction errors being reduced by 36%~49%.Due to the limited experimental data,the universality of the proposed formula needs to be verified but the developed analytical method is still applicable to other sediment transport capacity problems.
sediment transport capacityincomplete self-similarityopen channel flowdimensional analysis