Abstract

The article discusses the results of numerical studies of flow movement with a sharp change in the channel parameters. The numerical study of the flow in the channels and rivers creates the possibility of a multivariate forecast of channel processes, rivers, and requires minimal expenditures. The purpose of the study is to determine the main objectives and directions of research in the area under consideration. A mathematical model and a computer program have been developed that allow solving a wide range of tasks for modelling currents in the channels of various difficulties, taking into account daily regulation. This makes it possible to identify and proactively take measures, such as: determining the time to reach the flow along the channel; the establishment of water volume flow in an arbitrary channel; taking emergency measures to regulate the incoming residual volume of water after its termination into the system, in the event of an accident at pumping stations; identification of the nature and direction of channel processes; prevention of undermining of supports and damage to power lines passing through the channel, and many other engineering tasks. The developed tested mathematical model allows in real conditions and in real time to help the operational services of large channels in the operational management of actions, in emergency situations, and the choice of the most effective, at any point in time, measures to minimize the consequences. Analysis of the results of many researchers has created the opportunity for the authors of this article to conclude that the above system of hydrodynamic equations is applicable in mathematical modelling of motion, taking into account the transverse circulation of the flow.

Highlights

  • The aim of the study is to create a mathematical model that allows to obtain predictive data on: the ongoing channel processes in the channels, using the necessary data on the physical and geographical conditions in water intake section; climate; hydrological regime; sediment composition; regime of liquid and solid runoff; flow dynamics; turbidity of planned coastal and deep deformations in the channel; identifying the condition of applicability of the existing systems of unsteady flow equations of water in the formation of transverse circulation.The rivers of the Aral Sea basin are especially distinguished from many rivers in the world by transport and a high concentration of sediment

  • A striking example is the dynamics of the fractional composition of the middle course of the Amudarya River [11] (Table 1)

  • The annual sediment discharge for the long-term period is 210,000 thousand tons or 168 million m3, which gives an average washout from the basin area of 650 tons/km2 or 520 m3/km2 [12]

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Summary

Introduction

The aim of the study is to create a mathematical model that allows to obtain predictive data on: the ongoing channel processes in the channels, using the necessary data on the physical and geographical conditions in water intake section; climate; hydrological regime; sediment composition; regime of liquid and solid runoff; flow dynamics; turbidity of planned coastal and deep deformations in the channel; identifying the condition of applicability of the existing systems of unsteady flow equations of water in the formation of transverse circulation.The rivers of the Aral Sea basin are especially distinguished from many rivers in the world by transport and a high concentration of sediment. A striking example is the dynamics of the fractional composition of the middle course of the Amudarya River [11] (Table 1). The measured average daily turbidity of water in the Amudarya River, in recent years of observations, is 5.12 kg/m3. The minimum annual turbidity, in recent years, has been recorded, and in the average long-term annual flow of suspended sediments of the Amudarya, at Cape Pulizindan, in the area of the non-dam intake into the Karshi Main Channel, is 23 million tons. The average annual consumption of suspended sediment for a long-term period is 6500 kg/s. The annual sediment discharge for the long-term period is 210,000 thousand tons or 168 million m3, which gives an average washout from the basin area of 650 tons/km or 520 m3/km2 [12]

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