Abstract

Objectives Improving the model of movement of solid particles in natural turbulent flows.Method The improvement of knowledge about the structure of water flows and the nature of channel processes has led to the development of views on sediment movement as a stochastic process due to the random nature of the factors causing it: natural-climatic and hydrological conditions, variability of the physical and mechanical properties of soils, and turbulence of water streams. In this regard, the methods of probability theory and the theory of random processes were used to construct the model of sediment movement.Result Based on the studies, a mathematical model of the reformation of natural channels was established by an unsteady flow, which provides a more complete, in comparison with existing domestic and foreign counterparts, consideration of factors affecting the flow of channel-forming sediments. The analysis of mathematical models of the movement of solid particles in the water stream showed that the physical nature of the transport of channel-forming sediments is more consistent with the model based on the parameters of the trajectories of solid particles, namely, lengths, heights and transport time (jumps) of bottom and suspended sediments and their concentration in the stream. Such a model is implemented by integrating averaged equations and vortex formations using a mathematical apparatus.Conclusion The calculated model of the movement of solid particles is implemented in the algorithmic language Fortran Power Station and tested on the basis of field and experimental studies in a wide range of hydraulic flow characteristics and physical and mechanical characteristics of channel soils.

Highlights

  • Improving the model of movement of solid particles in natural turbulent flows

  • The improvement of knowledge about the structure of water flows and the nature of channel processes has led to the development of views on sediment movement as a stochastic process due to the random nature of the factors causing it: natural-climatic and hydrological conditions, variability of the physical and mechanical properties of soils, and turbulence of water streams

  • Result Based on the studies, a mathematical model of the reformation of natural channels was established by an unsteady flow, which provides a more complete, in comparison with existing domestic and foreign counterparts, consideration of factors affecting the flow of channel-forming sediments

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Summary

Introduction

Задача повышения надежности расчетов движения наносов требует учета таких характеристик крупномасштабной турбулентности, как средние квадратические отклонения, корреляционные и спектральные функции, частоты пульсаций эйлеровой и лагранжевой составляющих скорости потока, а также масштабы вихревых образований. Для расчета расхода наносов необходимо знать структуру, размер, частоту и длительность крупномасщтабных турбулентных вихревых образований в потоке.

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