Abstract:
It is shown that the sediment transport rate is uniquely determined by the normal and tangential stresses and the slope of the bottom surface. The dependence of the mass flow rate of sediments transported over an uneven eroded bottom on these three characteristics was obtained analytically. A formula for the sediment transport rate that generalizes a number of well-known formulas of sediment transport was derived within the framework of a two-velocity model.
Citation:
A. G. Petrov, I. I. Potapov, “Sediment transport under normal and tangential bottom stresses with the bottom slope taken into account”, Prikl. Mekh. Tekh. Fiz., 55:5 (2014), 100–105; J. Appl. Mech. Tech. Phys., 55:5 (2014), 812–817
\Bibitem{PetPot14}
\by A.~G.~Petrov, I.~I.~Potapov
\paper Sediment transport under normal and tangential bottom stresses with the bottom slope taken into account
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2014
\vol 55
\issue 5
\pages 100--105
\mathnet{http://mi.mathnet.ru/pmtf1030}
\elib{https://elibrary.ru/item.asp?id=22318104}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2014
\vol 55
\issue 5
\pages 812--817
\crossref{https://doi.org/10.1134/S0021894414050101}
Linking options:
https://www.mathnet.ru/eng/pmtf1030
https://www.mathnet.ru/eng/pmtf/v55/i5/p100
This publication is cited in the following 6 articles:
S. S. Khrapov, “Numerical Modeling of Hydrodynamic Accidents: Erosion of Dams and Flooding of Territories”, Vestnik St.Petersb. Univ.Math., 56:2 (2023), 261
K. S. Koroleva, I. I. Potapov, “Evolution of bed forms produced by clarified turbulent flow over a non-cohesive bed”, J. Appl. Mech. Tech. Phys., 63:1 (2022), 67–74
I. I. Potapov, K. S. Snigur, “O reshenii uravneniya Eksnera dlya dna, imeyuschego slozhnuyu morfologiyu”, Kompyuternye issledovaniya i modelirovanie, 11:3 (2019), 449–461
Yu. G. Krat, I. I. Potapov, “Movement of sediment over periodic bed”, Computer Research and Modeling, 10:1 (2018), 47–60
I. I. Potapov, K. S. Snigur, “Modelirovanie evolyutsii peschano-graviinogo dna kanala v odnomernom priblizhenii”, Kompyuternye issledovaniya i modelirovanie, 7:2 (2015), 315–328
Yu. G. Krat, I. I. Potapov, “Ustoichivost dna v napornykh kanalakh”, Kompyuternye issledovaniya i modelirovanie, 7:5 (2015), 1061–1068