caa a22 4500 475776909 CHVBK 20180406123633.0 cr unu---uuuuu 170329e20000301xx s 000 0 eng 10.1007/BF02465272 doi (NATIONALLICENCE)springer-10.1007/BF02465272 Sediment-discharge vector in a turbulent flow above an eroded bottom [Elektronische Daten] [A. Petrov, P. Petrov] The problem of determination of sediment discharge by a turbulent flow of a fluid above an eroded surface of an arbitrary relief with a finite slope of the bottom is considered. The surface of the bottom separates a stationary granular medium (sand) from a moving two-phase mixture of a fluid and solid particles. The medium is set into motion under the action of shear stress of the fluid. The medium obeys Coulomb's friction law for a granular medium and Prandtl's law of turbulent friction of the fluid. As a result of solving the boundary-value problem for the motion of a two-phase mixture of a fluid and solid particles, a generic formula for sediment discharges is derived. The sediment-discharge vector is expressed through the vector of shear stress on the bottom, the vector of the slope of the bottom, and the distribution function of the solid particles in the bottom layer for an arbitrary relief of the bottom with a finite slope. It is shown that the sediment discharge depends weakly on the detailed distribution of particles in the bottom layer. Conditions of failure of the bottom surface are obtained. The sediment-discharge formula allows one to derive a closed system of equations that determines the process of bottom erosion in the river or channel bed. Kluwer Academic/Plenum Publishers, 2000 Petrov A. aut Petrov P. aut Journal of Applied Mechanics and Technical Physics Kluwer Academic Publishers-Plenum Publishers 41/2(2000-03-01), 298-308 0021-8944 41:2<298 2000 41 10808 https://doi.org/10.1007/BF02465272 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02465272 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Petrov A. aut NATIONALLICENCE 700 1- Petrov P. aut NATIONALLICENCE 773 0- Journal of Applied Mechanics and Technical Physics Kluwer Academic Publishers-Plenum Publishers 41/2(2000-03-01), 298-308 0021-8944 41:2<298 2000 41 10808 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer