Mathematical Modeling of Mass Transfer in a Flowing Reservoir
https://doi.org/10.7868/S2073667321020088
Abstract
The paper presents a model of mass transfer in the Kuibyshev Reservoir, developed on the basis of a system of equations of “shallow water”, a model of convective-diffusion transfer of a dissolved substance, as well as analytical formulas for calculating the total sediment discharge and water turbidity. The model was used to assess the geoecological state of the Kuibyshev Reservoir in parts of water quality. The model parameters were evaluated using data from field changes at monitoring points. A series of simulation calculations of flows in the water area of the reservoir, the spread of tributary water plumes and the transport of suspended particles in various hydrometeorological situations in the conditions of average water content was carried out. It is shown that the velocity and trajectory of river water mass distribution depend on both the presence of wind circulation of currents and the flow regime in the water area. The formation of the spatial configuration of river water plumes in the plyos areas of the reservoir is determined by the speed and direction of circulating wind currents. The values of the specific discharge of sediment in the reservoir during strong winds change by an order of magnitude. As a result of solving this problem, the capabilities of the presented model are demonstrated and the estimation and forecast of the distribution of dissolved admixture (possibly contaminated), as well as the transport and re-deposition of river sediments in different points of the water area under different hydrometeorological conditions are given.
About the Authors
A. V. Rakhuba
Samara Federal Research Scientific Center of RAS, Institute of Ecology of the Volga River Basin of RAS
Russian Federation
Russian Federation
445003, Komzina Str., 10, Togliatti
M. V. Shmakova
Institute of Limnology of the Russian Academy of Sciences
Russian Federation
Russian Federation
196105, Sevastyanova Str., 9, St. Petersburg
S. A. Kondratyev
Institute of Limnology of the Russian Academy of Sciences
Russian Federation
Russian Federation
196105, Sevastyanova Str., 9, St. Petersburg
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Review
For citations:
Rakhuba A.V., Shmakova M.V., Kondratyev S.A. Mathematical Modeling of Mass Transfer in a Flowing Reservoir. Fundamental and Applied Hydrophysics. 2021;14(2):89-97. (In Russ.) https://doi.org/10.7868/S2073667321020088
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