On the Relationship of Bed Load Transport with the Froude Number
2022
Petrovskaya, O. A. | Gladkov, G. L.
The structural resemblance of bed load formulas for dune form of transport, in which dune velocity is calculated by the Snischenko-Kopaliani formula [19] and dune height is determined by flow depth, with the Gladkov-Sohngen formula [4] is studied. The study is based on the State Hydrological Institute database of bed load measurements, also bed load trap measurements are involved. The main result of the work is a bed load discharge formula approximating the data of dune and structureless form of transport. The mean error of the formula is 60%. The formula revealed the unity of bed load transport laws in dune and structureless form: bed load discharge grows with the Froude number in the third power. A dune height formula, that confirmed nonlinearity of its dependence on flow depth, has been obtained. Mutual conditionality of the Froude number and the depth-particle size ratio has been shown, and an empirical relationship between them has been obtained.
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