Abstract
This paper presents the mathematical model of the thermal process from thermal power plant to aquatic environment of the reservoir-cooler, which is located in the Pavlodar region, 17 Km to the north-east of Ekibastuz town. The thermal process in reservoir-cooler with different hydrometeorological conditions is considered, which is solved by three-dimensional Navier-Stokes equations and temperature equation for an incompressible flow in a stratified medium. A numerical method based on the projection method, divides the problem into three stages. At the first stage, it is assumed that the transfer of momentum occurs only by convection and diffusion. Intermediate velocity field is solved by fractional steps method. At the second stage, three-dimensional Poisson equation is solved by the Fourier method in combination with tridiagonal matrix method (Thomas algorithm). Finally, at the third stage, it is expected that the transfer is only due to the pressure gradient. Numerical method determines the basic laws of the hydrothermal processes that qualitatively and quantitatively are approximated depending on different hydrometeorological conditions.
Highlights
Many years in the study of hydrodynamics of lakes and reservoirs were two independent directions; one of them is the analysis of data and the other is mathematical modelling
It can be observed that temperature on the surface of reservoir-cooler near Ekibastuz SDPP-1 is higher than that at a far distance from Ekibastuz SDPP-1
The results show that the temperature distribution is spread over the larger area of the reservoir-cooler
Summary
Many years in the study of hydrodynamics of lakes and reservoirs were two independent directions; one of them is the analysis of data and the other is mathematical modelling. As shown by observations of flows and a number of indirect factors, there is significant variability of dynamic processes typical for areas with complex geometry of bottom and coasts. These topographic features are manifested in the formation of eddies and meandering streams. To get energy, primarily guided feasibility was economic costs, but in the construction and operation of energy, the most important issue is their impact on the environment. Another problem of TPP is thermal pollution to the reservoir or lake. According to the Health Standards, discharged warm water from TPP should not rise higher than 3∘C in the summer and 5∘C in the winter from the initial temperature of the reservoir
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