Abstract
A number of requirements for sediment transport formulas are considered for using in mathematical and physical models of alluvial channels. Some formulas (Bagnold, Petrov, Kopaliani) are analyzed and compared. It is demonstrated that the universal bed load transport formula should implicitly contain the Froude number. At the same time, the dependence of bed load discharge on the hydraulic resistance coefficient and the non-moving flow velocity increases the calculation error. However, these parameters, must be taken into account in simulating bed deformations for non-uniform sediments.
Similar content being viewed by others
REFERENCES
Alabyan, A.M., Lebedeva, S.V., Flow dynamics in large tidal delta of the Northern Dvina river: 2D simulation, J. Hydroinf., 2018, vol. 20, no. 4, pp. 798–814. https://doi.org/10.2166/hydro.2018.051
Aleksyuk, A.I., Belikov, V.V., Borisova, N.M., and Fedorova, T.A., Numerical Modeling of Non-Uniform Sediment Transport in River Channels, Water Resour. (ISSN 0097-8078), 2018, vol. 45, Suppl. 1, pp. S11–S17. https://doi.org/10.1134/S0097807818050275
Bagnold, R.A., An approach to the sediment transport problem from general physics, U.S. Geol. Survey, 1966, pp. 422–J.
Belikov, V.V., Universal dependencies for calculating the hydraulic particle size of sediment regard to their shape, in “Voprosy gidrometrii i gidravliki perekhodov cherez vodotoki” (Issues of Hydrometry and Hydraulics of Passages Through Water Courses), Moscow: Transport Construction Institute, 1984, pp. 20–33.
Belikov, V.V., Aleksyuk, A.I., Borisova, N.M., Fedorova, T.A., The use of accumulation basins to reduce the silting of the reservoirs of hydroelectric power plants on mountain rivers, Gidrotekhn. Stroit., 2019, no. 6 (in press).
Belikov, V.V., Vasil’eva, E.S., Prudovskii, A.M., Numerical modeling of a breach wave through the dam at the Krasnodar reservoir, Power Technol. Eng., 2010, vol. 44, no. 4, pp. 269–278. https://doi.org/10.1007/s10749-010-0176-2
Belikov, V.V., Volchenkov, G.Ya., Calculation of total erosion under bridges based on solving the equations of planned hydraulics, Transp. Stroit., 1984, vol. 12, pp. 12–13.
Karaushev, A.V., Teoriya i metody rascheta rechnykh nanosov (Theory and methods of calculation of river sediments), Leningrad: Gidromoteoizdat, 1977.
Kopaliani, Z.D., Petrovskaya, O.A., Baza dannykh “Dannyye izmereniy gidravlicheskikh kharakteristik transporta donnykh nanosov v gidravlicheskikh modelyakh gornykh rek i lotkovykh eksperimentakh” (Database “Measurement data of the sediment transport hydraulic characteristics in hydraulic models of mountain rivers and flume experiments”), Certificate of State Registration of the Database no. 2017620878), Official Bulletin of the “Computer Software. Database. Integrated Circuit Topologies” (ISSN 2313-7487), 2017, no. 8.
Kopaliani, Z.D., Petrovskaya, O.A., Baza dannykh “Dannyye izmereniy gidravlicheskikh kharakteristik transporta donnykh nanosov v bol’shikh, malykh i srednikh ravninnykh rekakh” (Database “Measurement Data of the Hydraulic Characteristics of Sediment Transport in Large, Small, and Medium Plain Rivers”) (Certificate of State Registration of the Database no 2017620992), Official Bulletin of the “Computer Software. Database. Integrated Circuit Topologies” (ISSN 2313-7487), 2017, no. 9.
Kopaliani, Z.D., Petrovskaya, O.A., Baza dannykh “Dannyye izmereniy gidravlicheskikh kharakteristik besstrukturnogo transporta donnykh nanosov v laboratornykh eksperimentakh v gidravlicheskikh lotkakh” (Measurement Data of Unstructured Sediment Transport Hydraulic Characteristics in Laboratory Experiments in Hydraulic Flumes) (Certificate of State Registration of the Database no. 2017620958), Official Bulletin of the “Computer Software. Database. Integrated Circuit Topologies” (ISSN 2313-7487), 2017, no. 9.
Petrov, P.G., The movement of the flowing medium in the bottom layer of the fluid flow, Prikladnaya Mekh. i Tekh. Fiz., 1991, no. 424, pp. 72–76.
Petrovskaya, O.A., Optimization of methods for bedload discharge calculations taking into account the hydraulic parameters of rivers. Cand. Sci. (Tech.) Dissertation, St.-Petersburg, 2018.
Potapov, I.I., On the movement of bed load, Trudy XI Vserossiyskogo s’’yezda po fundamental’nym problemam teoreticheskoy i prikladnoy mekhaniki (Proc. XI All-Russian Congress on the Fundamental Problems of Theoretical and Applied Mechanics), Kazan, 2015, pp. 3096–3101.
Samokhvalova (Petrovskaya), O.A., Selective methodology of bedload discharge calculations in rivers, Sovremennyye problemy nauki i obrazovaniya (Modern Problems of Science and Education), 2015, iss. 1 (part 2). http://www.science-education.ru/125-19772.
Zaitsev, A.A., Belikov, V.V., Militeev, A.N., Using computer modelling for regulation of sediment transport under hydraulic structures on a large river, Proc. Int. Symp. “Sediment Transfer through the Fluvial System,” IAHS Publ., 2004, pp. 386–394.
Funding
The research is made as a part of the State task for Water Problems Institute, theme no. 0147-2019-0003 (state registration no. АААА-А18-118022090056-0).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Belikov, V.V., Borisova, N.M., Fedorova, T.A. et al. On the Effect of the Froude Number and Hydromorphometric Parameters on Sediment Transport in Rivers. Water Resour 46 (Suppl 1), S20–S28 (2019). https://doi.org/10.1134/S0097807819070029
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0097807819070029