Mathematical Modeling of the Discharged Heat Water Effect on the Aquatic Environment from Thermal Power Plant

Abstract

Abstract The paper presents a mathematical model of the thermal load on the aquatic environment under operational capacity 200 MW of thermal power plant. It is solved by the Navier–Stokes and temperature equations for an incompressible fluid in a stratified medium based on numerical method, the splitting method by physical parameters which approximated the finite volume method. The numerical solution of the equation system is divided into four stages. At the first step it is assumed that the momentum transfer is carried out only by convection and diffusion. Intermediate velocity field is solved by the five-step Runge–Kutta method. At the second stage, the pressure field is solved by the intermediate velocity field. Poisson equation for the pressure field is solved by Jacobi method. The third step is assumed that the transfer is carried out only by pressure gradient. The fourth step of the transport equation for temperature is also solved as momentum equations, with five-step Runge–Kutta method. The obtained numerical results of temperature distribution for operational capacity of 200 MW of three-dimensional stratified turbulent flow were compared with experimental data, which revealed qualitatively and quantitatively approximately the basic laws of hydrothermal processes occurring in the reservoir-cooler.